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ATTACHMENT 8 Calculation L-003064, "Suppression Pool pH Calculation for Alternative Source Terms," Revision 1

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Page 1: Calculation L-003-64, 'Suppression Pool pH Calculation for ... · Exelon Reviewer: 'f"7 , ... Documents List (ADL) for the associated Configuration Change'? Do the sources of inputs

ATTACHMENT 8

Calculation L-003064, "Suppression Pool pH Calculation

for Alternative Source Terms," Revision 1

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.--ExekpniN I Ocl

(CC-AA-309-1t001Rc.visio.n 4

Desian Analysis Maior Revision Cover Sheet

Design Analysis (Major Revision) Last Page No.' 15/ Aft. H1

Analysis No.: L-003064 Revision: 1

Title: I Suppression Pool pH Calculation for Alternative Source Terms

EC/ECR No.:' EC 352505 Revision: ' 0

Station(s):' LaSalle County Station Component(s): __

Unit No.: 1 & 2 N/A

Discipline: MECH _

Descrip. CodelKeyword: ASTSuppression, Pool, pH.SBLC

Safety/QA Class:" SR

System Code: B21, VC, VE, VG,VS

Structure: " ZZL

CONTROLLED DOCUMENT REFERENCES "_ _/

Document No.: From/To Document No.: ;rtm/To

I I'•,AR Skl'ionS h• ý. 6i 2. t).; & 13 6, From SEAG 08-000075 TODI ýrornUFSAR Sections 9 3 & 15 6 To Oesign Anatlyss -rom

L-003128

LSCS Tech Spec. Bases FDom Oesign Analysis PM-1059 romSection 3.6.2.2

Is this Design Analysis Safeguards Information?" Yes Li No I if yes. see SY-AA-101-106

Does this Design Analysis contain Unverified Assumptions? ' Yes El No [D If yes, ATI/AR#:

This Design Analysis SUPERCEDES: " Revision 0 in its entirety

Description of Revision (list affected pages for partials): ý4

(1) Replace out-dated Formula page in Attachment A, by the actually used Formula page, Affected page is Page A4 of A38.

(2) Minor editing on Page 5, 6.A1, A3, A4, Ct, C3. D1, and D8

(3) Updated reference 5.13 in Section 5 References and on the cover sheet with the current reference. Affected page is Page 6of 15 and major revision cover sheet,

(4) Added revision number for the Calculation No. XC-Q 111-98-13. Affected page is Page BI of B 56.

(5) Clarification notes added on Page 15 of 15 and Page A5 of A38.

(6) Formatted pages B33 of 856 and B45 of 856.

Preparer: William Golden ,44 , . (0.....P

4-i t.,. q4g; N ,.

Method of Review*

Reviewer:

Review Notes:

Detailed Review E Alternate Calculations (attached•ji Testing[Z

Harold Rothstein)Donald Gardner

Independent review [ Peer review

All inputs, assumpticns, approaches, numerical analyses. ýnd resu-ltsj re ridepeiand checked. Addi.ionally. a line-by-tine review of 'he enf. caic5-'Ji6n was condu,

External Approver*. Irving Tsang

Exelon Reviewer: 'f"7 , Ylsc5•

Independent 3 Id Party Review Reqd? Yes

Exeloat Approver:, 6), -o-Wi. 'Pn1 0oA47o I- -- . I , • - y ......

L4~J6~I

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ExelrnNuclear

Revision 7

CC-AA-309Revision 8

OWNER'S ACCEPTANCE REVIEW CHECKLIST FOR EXTERNAL DESIGNANALYSIS

DESIGN ANALYSIS NO. L-003064, Rev. 1 Page 1.1

L. Do assumptions have sufficient rationale?

Are assumptions compatible with the way the plant is operated and with thelicensing basis?

3. Do the design inputs have sufficient rationale?

4. Are design inputs correct and reasonable?

Are design inputs compatible with the way the plant is operated and with thelicensing basis?

6. Are Engineering Judgments clearly documented and justified?

Are Engineering Judgments compatible with the way the plant is operated andwith the licensing basis?

Do the results and conclusions satisfy the purpose and objective of the DesignAnalysis?

Are the results and conclusions compatible with the way the plant is operatedand with the licensing basis?

10. Does the Design Analysis include the applicable design basis documentation?

11. Have any limitations on the use of the results been identified and transmittedto the appropriate organizations?

12. Are there any unverified assumptions?

13. Do all unverified assumptions have a tracking and closure mechanism inplace'?

Have all affected design analyses been documented on the AffectedDocuments List (ADL) for the associated Configuration Change'?

Do the sources of inputs and analysis methodology used meet currenttechnical requirements and regulatory commitments? (If the input sources or

15. analysis methodology are based on an out-of-date methodology or code,additional reconciliation may be required if the site has since committed to amore recent code)

Have vendor supporting technical documents and references (including GEDRFs) been reviewed when necessary'?

EXELON REVIEWER: DATE:

Jririn Aign -(

Yes No N/AEl El

El ElEl 0lEl ElEl El

El El1

El El

El El

El ElEl El

ElEl

El 5ý 1_

E] El

El El

1,910 -7 la,9r I

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R" I CALCULATION No. L-003064 I REV.1 PAGE 2 of 15

TABLE OF CONTENTS

DESIGN ANALYSIS COVER SHEET 1

OWNER'S ACCEPTANCE REVIEW CHECKLIST FOR EXTERNAL DESIGN ANALYSIS 1.1

TABLE OF CONTENTS 2

1. PURPOSE AND OBJECTIVE 3

2. METHODOLOGY AND ACCEPTANCE CRITERIA 3

3. ASSUMPTIONS 3

4. DESIGN INPUT 4

5. REFERENCES 6

6. CALCULATIONS 7

7. SUMMARY OF RESULTS AND CONCLUSIONS 13

Attachments

R1i A - Determination of Total Exposed Cable Quantities Inside Containment for Assessment ofImpact of Radiolytic Chlorine Releases on Suppression Pool pH A1-A38

B - Dose Assessment, Core Cs & I, and Gamma Mean Free Path Determination B11-B56C - Transient Pool pH Calculation Spreadsheet Cl -C7

R1 D - Transient Pool pH Calculation Spreadsheet Cell Formula D1-D13E - Transient Pool pH Calculation - Grand Gulf Reference Data El-E7F - GGNS-98-0039, Rev 3 , Entergy Operations Engineering Report for

Suppression Pool pH and Iodine Re-Evolution Methodology F17-F30G - XC-QI 111-98013, Rev 2, Grand Gulf Design Engineering Calculation -

Suppression Pool pH Analysis G1-G26H - Computer Disclosure Sheet H1-H1

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CALCULATION No. L-003064 REV. 1 PAGE 3 of 15

1. Purpose and Objective

In order to prevent iodine re-evolution following a Design Basis Accident (DBA)Loss of Coolant Accident(LOCA), the pH of the Suppression Pool should be maintained above 7.0 for the entire post-LOCA potential releaseduration (30 days = 720 hours for Alternative Source Terms [AST], per the AST guidance of Reference [Ref.] 5.6).The chemistry of this phenomenon and methods of pH control are discussed in Ref. 5.1 and 5.5. Ref. 5.1 isincluded herein as Attachment F.

The objective of this calculation is to determine the pH of the Suppression Pool following a DBA LOCA based onthe use of AST as defined in References 5.4 and 5.6. The pH values are determined, as a function of time, with andwithout the addition of the sodium pentaborate in the Standby Liquid Control System. The conditions required tomaintain the Suppression Pool at a pH above 7.0 are determined.

2. Method of Analysis and Acceptance Criteria

This calculation is based on the methodology developed for the equivalent calculation done for the Grand GulfNuclear Station, Unit 1 [Ref. 5.1 & 5.2]. The calculation formulas developed in these Ref. 5.1 and 5.2 documentswere reviewed and used by Washington Group International to develop the spreadsheets included herein inAttachments C and D. These references are included in this calculation as Attachments F and G. The accuracy oftranslation of the equations in these documents into spreadsheet cell formulas is verified by duplicating the GrandGulf calculation. This verification is presented as Attachment E and accurately duplicates all of the Grand Gulfresults.

As noted in this calculation, injection of sodium pentaborate solution by the Standby Liquid Control (SBLC)System is a required function in order to control post-LOCA pH in the suppression pool, and prevent iodine re-evolution. Based on the worst case beginning of cycle condition and the conservative conditions assumed herein,injection needs to be completed within about 3.5 hours after the start of the DBA-LOCA. This is expected, asmanual initiation of SBLC would occur early in a DBA-LOCA as a result of emergency operating procedures andsevere accident guidelines, particularly for events resulting in fuel damage that would be consistent with ASTsource terms.

Per the guidance of Appendix A of Regulatory Guide 1.183 [Ref. 5.6], the Suppression Pool pH should becontrolled at values of 7 or greater, following loss of coolant accidents.

3. Assumptions

(Note: additional assumptions are identified in the Attachments.)

" The Suppression Pool is assumed to be well mixed so that the pH at any time can be represented by a singlevalue. The adequacy of mixing is addressed in section 4.5 below.

" For hydrochloric acid production by radiolysis of chlorinated polymer cable jacketing, the cable data andconservative methodology presented in Attachment A are used. The Attachment provides the quantities ofexposed cables located in the drywell, all considered as subject to Post-LOCA environment. To ensureadditional conservatism in the estimation of the cable lengths, an additional 5% of the totals are assumed tobe in free air, and a 10% contingency on the total cable surface area reported in Attachment A is alsoincluded for the Attachment C spreadsheets. Radiolysis of surface coatings on the steel and concrete surfacesin the Drywell and Containment would not be significant contributors, as per UFSAR [Ref. 5.3] Section6.1.2.

" In order to conservatively minimize the SBLC Boron gram-moles, natural B'0 enrichment is assumed.

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CALCULATION No. L-003064 REV. 1 PAGE 4 of 15

4. Design Input

4.1. Cable Data

Cable quantities and jacket thickness are developed separately and presented in Attachment A.

4.2. Temperature

Suppression Pool temperatures are taken from UFSAR [Ref. 5.3] Figure 6.2-7A, with the peak calculatedtemperature conservatively used from the time it is reached through the rest of the transient (higher temperaturesgive lower calculated pH values). Data utilized until the peak temperature (196.1 degrees F) is reached at 5 hoursafter the initiation of the LOCA are as follows:TimeafterinitiationofLOCA - Temperature

Hours Deg F0 1051 1702 180

2.0336 1813 185

4.3. Sodium Pentaborate Mass in SBLC Tank

The minimum available volume of sodium pentaborate solution stored in the SBLC tank is 4587 gallons, as perLSCS Technical Specification Figure 3.1.7-1 [Ref. 5.7 and 5.13]. Also per these references, a 13.4% solutionconcentration, by weight, is chosen to conservatively bound the acceptable operable range. As per the sodiumpentaborate specific gravity vs. solution weight table and figure included in Attachment C, a specific gravity of1.0655 gm/cm 3 corresponds to this 13.4% Na 2B100 16010H20 concentration. Based on this volume and density, thetotal mass for the solution equals 40,788 lbs. Therefore, at 13.4wt% the total mass of Na2B10 O16 .10H 20 in solutionis 5465.6 lbs.

Non-enriched Boron is assumed [Ref. 5.13] to minimize the Boron gram-moles for this calculation. The natural 10Benrichment of Boron, 19.9%, is assumed. Because 10B has an atomic weight of 10.0129 gm/mole, and '1 B has anatomic weight of 11.0093 gm/mole, the calculated naturally occurring molar mass of Boron is 10.811 gm/mole.This value agrees with the periodic table value. The total molar mass of Na2BIoO 16ol0H20 is 590.23 gm/mole.Based on the calculated 10.811 gm/mole mass of Boron, the percentage of total Boron in Na2B 10 O16 .10H2 0 is18.3165%. Taking 18.3% of the total mass of Na2 B1 00 16 1OH 2O (5465.6 lbs.), gives a total of 1001.1 lbs., or42,003 gm-atoms of total available Boron.

4.4. Suppression Pool and Airspace Volumes

In order to determine the minimum quantity of sodium pentaborate required to maintain the Suppression Pool at apH above 7.0 post-LOCA for the purposes of this calculation, the maximum post-LOCA Suppression Pool volumeand corresponding minimum Drywell + Suppression Pool Airspace volume is required. Pre-LOCA, the maximumvolume Suppression Pool volume is 131,900 ft3 as per the LSCS Technical Specification Bases [Ref. 5.8] B 3.6.2.2and Ref. 5.13, as rounded to 4 significant figures. For conservatism in this calculation, the entire 22,712 ft3 TotalReactor Coolant Volume from UFSAR [Ref. 5.3] Table 6.2-3, "Initial Conditions Employed in ContainmentResponse Analyses", was also added to the maximum Suppression Pool volume as the maximum release from thebreak during the LOCA, for a total of 154,612 ft3 maximum Suppression Pool volume. The contents of theCondensate Storage Tank (CST) are not added, as the High Pressure Core Spray system, the only Emergency CoreCooling System (ECCS) which could potentially be supplied from this source (per UFSAR Section 6.1.1.2) for

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R1II CALCULATION No. L-003064 I REV. 1 I PAGE 5 of 15

other than beyond design basis severe accident management, uses the Suppression Pool as its normal source ofwater, with its connection to the CST isolated by a blind flange which can only be manually removed underadministrative control.

For the corresponding conservatively minimized Drywell + Suppression Pool Airspace volume, the drywell freevolume of 229,538 ft3 plus wetwell airspace volume of 165,100 ft3 values from UFSAR [Ref. 5.3] Table 15.6-22,"Parameters Used in Accident Assessment", are used, minus the difference between the above 154,612 ft3

conservative maximum Suppression Pool volume and the UFSAR Table 15.6-22 128,800 ft3 Suppression Poolvolume, for a total Drywell + Suppression Pool Airspace volume of 368,826 ft3.

4.5. Adequacy of Mixing

The ECCS takes water from the Suppression Pool and pumps it into the core region of the reactor vessel.Additionally, the SBLC System will pump from the SBLC Tank into the core region of the reactor vessel, anddischarge near the bottom of the core shroud, so it mixes the cooling water rising through the core (per UFSARsection 9.3.5.2). This water will refill the Reactor Pressure Vessel (RPV) under post-LOCA conditions, and the

R1 I mixed ECCS water and SBLC solution will spill out of the break to the Suppression Pool. To illustrate theadequacy of the SBLC solution mixing in the Suppression Pool, the minimum spillage and bounding maximuminitial liquid volume of the Suppression Pool of 131,900 ft3 are considered, with a SBLC solution scenario of nooffsite power available following the accident, with only minimum diesel power. As per the Ref. 5.13 TODI based

R1 J on UFSAR Table 6.2-5A for this minimum flow Case C, one pump on the Low-Pressure Coolant Injection System iscapable of injecting a minimum of 7,200 gpm, and one High Pressure Core Spray pump is capable of injecting aminimum of 6,200 gpm. A two-hour delay before ECCS and SBLC initiation to refill the RPV is conservativelyassumed, consistent with the event timing in Regulatory Guide 1. 183. After 2 hours, simultaneous injection ofSBLC solution and ECCS fill of the RPV take place: The LSCS RPV and attached pipes have a volume of 22,712ft3 (per UFSAR Table 6.2-3). This volume would be flooded in 12.68 minutes utilizing only the 13,400 gpm

R1 (107,479 ft3/hour) minimum ECCS flows above. The minimum flow rate of the SBLC pump is not credited in this

fill time, but it is noted that 100% injection of the minimum sodium pentaborate solution would occur withinapproximately 2 hours (per UFSAR section 9.3.5.2 and 9.3.5.3).

Based on the 131,900 ft3 Suppression Pool volume plus the entire RPV and attached pipes 22,712 ft3 volume (totalof 154,612 ft3) and a total minimum 107,479 ft3/hour ECCS flow rate, a turnover of one suppression pool volumecontaining essentially 100% of the SBLC injection is calculated to be completed by 3.4 hours after the LOCA, withsubsequent suppression pool turnover of the suppression pool volume taking place every 1.4 hours. This rapidturnover assures mixing of the Suppression Pool with the SBLC sodium pentaborate.

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R1 [ CALCULATION No. L-003064 REV. 1 PAGE 6 of 15

5. References

5.1. GGNS-98-0039, Rev. 3, "Entergy Operations Engineering Report for Suppression Pool pH and Iodine Re-Evolution Methodology", Applicable Site: Grand Gulf Nuclear Station, 12/20/00.

5.2. XC-Ql 111-98013, Rev. 2, Grand Gulf Design Engineering Calculation "Suppression Pool pH Analysis",12/20/00.

R1 5.3. LSCS Units I & 2 UFSAR, Rev. 17, April 2008.

5.4. NUREG-1465, "Accident Source Terms for Light-Water Nuclear Power Plants", February 1995.

5.5. NUREG/CR-5950, "Iodine Evolution and pH Control", December 1992.

5.6. USNRC Regulatory Guide 1.183, "Alternative Source Terms for Evaluating Design Basis Accidents atNuclear Power Reactors", July 2000.

5.7. LSCS Technical Specifications.

5.8. LSCS Units 1 & 2 Technical Specification Bases.

5.9. GE Report NEDC-32963A, "Prediction of the Onset of fission Gas Release From Fuel in Generic BWR",March 2000 (Allows a 121-second delay in timing of fission product release following design basisaccidents).

5.10. Deleted.

5.11. Radioactive Decay Data Tables by David C. Kocher, Report DOE/TIC- 11026 Technical InformationCenter U.S. DOE, Washington, D.C., 1981.

5.12. LSCS Units 1 & 2 Drawing No. M-7 Rev. AC, "General Arrangement Main Floor Plan".

R1 5.13. SEAG 08-000075, Rev. 1, "LaSalle County Station - Unit 1 & 2 Transmittal of Design Information ofParameters and Source of Reference for AST Analyses".

5.14. L-003128, Rev. 0, "LaSalle Source Terms for Use in Alternative Source Terms".

5.15. PM-1059, Rev. 2, "Peach Bottom Atomic Power Station Re-analysis of Fuel Handling Accident (FHA)Using Alternative Source Terms".

5.16. NUREG/CR-6604, "RADTRAD: A Simplified Model for RADionuclide Transport and Removal AndDose Estimation", April1998, and Supplements 1, June 1999, and 2, October 2002.

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CALCULATION No. L-003064 REV. 1 PAGE 7 of 15

6. Calculations

pH - Fundamental Relationships

pH = -logio[H+] 6-1

[H+].[OH] Kw(T) 6-2

where:

[H+] = concentration of hydrogen ions in moles/liter

[OH = concentration of hydroxyl ions in moles/literKw(T) = ionization constant for water as a function of temperature T

The data for Kw for T between 77 and 212 'F can be represented by the following correlation developed in Section3.0 of Reference 5.1:

-LogloKw(T) = 15.5129 - 2.24E-2 * T + 3.352E-5 * T2 6-3

Hydriodic Acid Production

Iodine, accompanied by Cesium, is released during the Gap Release and Early In-Vessel Release phases.

The following equation, valid during the Early Vessel Release Phase, includes the release during the Gap ReleasePhase. See analysis in Reference 5.1 (Section 3.1 and Equation 3-1d).

Iodine and cesium core inventories are calculated for both beginning and end of cycle (BOC and EOC) conditions(See Attachment B for a discussion of the assumed BOC conditions). Since EOC conditions result in increasedinventory of both acidic (iodine) and basic (cesium) compounds, pH values are calculated for both conditions. Forconservatism, the EOC radiation doses are used for the BOC calculation.

The hydriodic acid concentration is governed by the following equation:

[HI](t) m, / (120 * VPOOL) * [t - (0.5 + tgap)] + m1 / (400 * VPooL) 6-4

where:

[HI](t) = concentration of Hydriodic Acid at time t (moles/liter)m, = core iodine inventory (gram-moles)VpOOL = Suppression Pool volume (liters)

t = time after start of accident (hrs) (includes tgap + Gap Release [0.5 hrs] + Early In-VesselRelease [1.5 hrs] duration for a tmax = 2.0336 hrs) [Ref.5.6, Table 4, page 1.183-15]

tgap= time of onset of gap release = 121 seconds = 0.0336 hrs [Ref. 5.6 and 5.10]tmax = 2.0336 hrs = end of Early In-Vessel Release

[See Spreadsheet: Sheets 1 (EOC) and 5 (BOC), Col H]

Nitric Acid Production

Nitric Acid is produced by radiolysis of the water in the S~ippression Pool with a G value of 0.007 molecules HN0 3/ 100 eV absorbed dose or 7.3E-6 g moles / megarad- liter [Ref. 5.1, Section 3.2, Equation 3-2b].

The nitric acid concentration is governed by the following equation:

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CALCULATION No. L-003064 REV. 1 PAGE 8 of 15

[HNO 3](t) = 7.3E-6 * D(t)pool 6-5

[See Spreadsheet Col. I]

where:

[HNO3(t) = nitric acid concentration at time t (moles/liter)D(t)pool = Total accumulated dose in Suppression Pool at time t (megarad)

Hydrochloric Acid Production

Hydrochloric Acid is produced by radiolysis of chlorinated polymer cable jacketing. Radiolysis of surface coatingson the steel and concrete surfaces in the Drywell and Containment would not be significant contributors, since thecoatings utilize nonchlorinated polymers.

The calculation of the resulting concentration in the Suppression Pool is based on the equations in Section 3.3 ofReference 5.1 [see Ref. 5.2, Equations 5-1, 5-2, and5-3]. These equations are in turn based on the following Gvalue for HC1 production in Hypalon chlorinated polymer given in Reference 5.5.

GHC1= 2.115 molecules/lOOeV = 3.512E-20 g moles HC1 / MeV

The hydrochloric acid concentration is governed by the following equations:

Doses from beta and gamma radiation are calculated separately.

[HC1Ip(t) = GHCI / VPOOL * (Stray / 2 + Sfa) / PO air * Dp(t) 6-6

where the effective cable surface area for 03 dose is:

Stay / 2 + Sfa = 7 * Do *. (Ltray / 2 + Lfa)

[See Spreadsheet Cols J & L]

[HC1]y(t) = GHCI / VpOOL * (Sray + Sfa) * (1- e -pX air* rk) / jyair * (1 e -ek hypalon * th) * Dy(t) 6-7

where: Stray + Sfa = 7T * Do * (Ltray + Lfa)

[See Spreadsheet Cols K & M]

where:

[HCI]p(t) = HC1 concentration from Beta radiation at time t (g moles/liter)[HC1],(t) = HC1 concentration from Gamma radiation at time t (g moles/liter)Do = cable diameter (cm)Ltray = cable length in trays (raceways) (cm)Lfa = cable length in free air (cm)

AD air = linear beta absorption coefficient in air (1/cm)[0 air linear gamma absorption coefficient in air (1/cm)rx = gamma free path (cm)

Jt, hypalon = linear gamma absorption coefficient in Hypalon (1/cm)th = Hypalon jacket thickness (cm)

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CALCULATION No. L-003064 ].REV. 1 - PAGE 9 of 15

Dp(t) = accumulated beta dose per unit volume at time t (MeV/cm 3)D7(t) = accumulated gamma dose per unit volume at time t (MeV/cm3)GHCI= 3.512E-20 (g moles HC1 / MeV)VpooL = Suppression Pool volume (Liters)Stray = Cable surface area in trays (cm 2)

Sfa = Cable surface area in free air (cm 2 )

Cesium Hydroxide Production

Cesium, accompanied by Iodine, is released during the Gap Release and Early In-Vessel Release phases. Thefollowing equation, valid during the Early Vessel Release Phase, includes the release during the Gap Release Phase.See analysis in Reference 5.1 (Section 3.4 and Equation 3-4d).

Iodine and cesium core inventories are calculated for both beginning and end of cycle (BOC and EOC) conditions(See Attachment B for a discussion of the assumed conditions). Since EOC conditions result in increased inventoryof both acidic (iodine) and basic (cesium) compounds, pH values are calculated for both conditions. Forconservatism, the EOC radiation doses are used for the BOC calculation.

The cesium hydroxide concentration is governed by the following equation:

[CsOH](t) = (0.4 * mc,- 0.475 * in,) / 3 * VPoOL) * [t - (0.5 + tgap)]

+( 0.05 * mc,- 0.0475 * Mi) / VPoOL 6-8

[See Spreadsheet: Sheets 1 (EOC) and 5 (BOC), Col 0]

[CsOH](t) = concentration of Cesium Hydroxide at time t (g moles/liter)m, = core Iodine inventory (gram-moles)mc, = core Cesium inventory (gram-moles)VPoOL = Suppression Pool volume (liters)t = time after start of accident (hrs) (includes tgap + Gap Release [0.5 hrs] + Early In-Vessel

duration for a tmax = 2.0336 hrs) [Ref. 5.6, Table 4, page 1.183-15]tgap= time of onset of gap release = 121 seconds = 0.0336 hrs [Ref. 5.6]tmax = 2.0336 hrs = end of Early In-Vessel Release

Release [1.5 hrs]

Final Pool pH Calculation (No SBLC Addition)

(Note that the initial Suppression Pool pH is not an important input as it is rapidly changed at the time of the LOCA;consistent with Ref. 5.2 included herein as Attachment G, a lower limit value of 5.3 is used.)

The net Suppression Pool pH can be calculated from the total of the [H+] and [OH] concentrations using thefollowing equations developed in Reference 5.1, Section 3.5.

[H+](t) = [H+](t=0) + [HI](t) + [HNO 3](t) + [HC1](t)[H+](t) = 10pnP(t=o) + [HI](t) + [HNO 3](t) + [HC1](t) 6-9

[See Spreadsheet Col N]

[0H1](t) = [OH](t=O) + [CsOH](t)

[OH-](t) = l-1 4/1o0PH(t=o) + [CsOH](t) 6-10

[See Spreadsheet Col P]

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CALCULATION No. L-003064 REV. 1

Accounting for the concentration of neutralized ions [x]:

( [H+] - [x] ) * ([OH-] - [x] ) = Kw(T)

[x]={ [H+] + [OH-] - {([H+]+[OH-]) 2 -4*([H+]*[OH-]-Kw)} 1/2 }/2

[See Spreadsheet Col R]

note: Kw = -0(Log Kw) [See Equation 6-3 and Spreadsheet Col Q]

I PAGE 10 of 15

6-11

The equation for the net [Ht] becomes:

[H+]nct = [H+] - [x]

[See Spreadsheet Col S]

and

pH = - 1og0o([H+]net)

[See Spreadsheet Col T]

6-12

6-13

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CALCULATION No. L-003064 I REV.1 IPAGE 11 of 15

Effect of Sodium Pentaborate (SBLC) Addition

The pH of the Suppression Pool can be increased by the addition of Sodium Pentaborate from the Standby LiquidControl (SBLC) System.

As per Section 4.3 of this calculation, a limiting value (minimum weight) of 1001.1 lbs. of Boron is used. Thelimiting value is used since it minimizes the number of moles available for buffering.

Addition of Sodium Pentaborate introduces a buffer into the Suppression Pool, which will maintain the pool at a pHcorresponding to the following equation: [Ref. 5.1, Sec. 6.1, p. 21].

pH = pKa + log10 ( [anion] / [acid]) 6-14

with data for Ka fitted by the equation

Ka (0.0585 * T + 1.309)E-10 6-15

[See Spreadsheet Col U]

where:Ka = boric acid dissociation constantpKa = negative of the log of the boric acid dissociation constant [See Spreadsheet Col Z]

T = OF[anion] = borate concentration of [2B(OH) 4[acid] = boric acid concentration of [8H 3BO 3]

based on the equation +

Na2BI0O16 + 16H120 <4 2Na +±+ 2B(OH)4- + 8H 3BO3

Therefore,Borate (g-equivalents) = 2 * Na2B1 00 16 * 10 H20 (g-moles)

Boric acid (g-equivalents) = 8 * Na 2B 10O16 * 10 H20 (g-moles)

Using the methodology of reference 5.1, the net strong acid equivalents [H+]net calculated in Equation 6-12 areneutralized by the borate and the above equations become:

Borate (g-equivalents) = 2 * Na2B, 0O16 (g-moles) -- [H+]net * Vp001 6-16

[See Spreadsheet Col X]

Boric acid (g-equivalents) = 8 * Na 2B10O16 (g-moles) + [H+]nct * Vp001 6-17

[See Spreadsheet Col Y]

and equation 6-14 becomes:

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I CALCULATION No. L-0030664 1 REV. 1

(2 * Na 2BI0O16 (g-moles) - [H+],nt * Vpoo) / Vpooi

(8 * Na2 B10O1 6 (g-moles) + [H+]nt * Vp001) / Vpl01

I PAGE 12 of 15 1

pH = -logioKa +loglo 6-18

[See Spreadsheet Col AA]

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CALCULATION No. L-003064 REV. 1 PAGE 13 of 15

7. Summary of Results and Conclusions

The post accident Suppression Pool pH is calculated as a function of time after accidentinitiation. The results are shown below in Figures 7-1 and 7-2 for Beginning of Cycle(BOC) and End of Cycle (EOC) conditions respectively. These graphs are based on Excelspreadsheet calculations presented in Attachment C (Sheets C-I through C-4). The inputsto the pH calculation of radiation doses and the Iodine and Cesium inventories arepresented in Attachment B.

The BOC (actually early cycle) condition produces the lowest pH and is therefore thelimiting case.

Without addition of sodium pentaborate from the Standby Liquid Control (SBLC) System,the pH in the Suppression Pool for this limiting case could drop below pH 7 afterapproximately 3.5 hours, reaching a pH of approximately 2.8 at 30 days. Therefore, SBLCaddition is required to prevent iodine re-evolution.

With timely SBLC addition, the Suppression Pool for this limiting case remains above pH7.4 throughout the post-LOCA period out to 30 days (720 hours).

/

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I CALCULATION No. L-003064 I REV. 1 I PAGE 14 of 15

Figure 7-1

pH vs. Time - BEGINNING OF CYCLE

10.00

=tQ •n

z

8.00 -W---~ - -

7.00. - - - - ____ _

6.00 __ _R.

5.00 ___ ___I___

____ ____ -e-wth SLCS[

4.00 R_ ------ _____

3.00 ______ ___ _____

1.00- F -4 _____ .___ __

10 100 1000

Time (Hours)

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R1 I I CALCULATION No. L-003064 I REV. 1 I PAGE 15 ofl5

Figure 7-2

pH vs. Time - END OF CYCLE

10.00

9.00

-4- 5:5_,_o.UU___-..

7.00 ___9 __ __ __-* --

___oo--'•A SLC6.00

SLCM

-- tt- ý =I-- -- EL

3.00

2.00

1.00

0.00

_____ _____ _____ I.-__ __ __ :1:

_ 7--- _ _ _iwl_~IIE ___

1 10 100 1000

Time (Hours)

R I

Note:- 2 hour post accident Suppression Pool pH without addition of sodium pentaborate from the Standby Liquid

Control (SBLC) System is 8.67 and 8.32 after addition of sodium pentaborate.- At End of Cycle the Suppression Pool cesium hydroxide concentration is greater than at the Beginning of

Cycle.

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"Suppression Pool pH Calculation for Alternative Source Term"Attachment A

Determination of Total Exposed Cable Quantities Inside Containmentfor Assessment of Impact of Radiolytic Chlorine Releases on Suppression Pool pH

1. Purpose

The purpose of this attachment is to provide a conservative basis for the calculation of Hydrochloric Acidaddition to the suppression pool from radiolysis of exposed chloride-bearing materials inside the drywellduring post-Loss of Coolant Accident (LOCA) conditions. The primary exposed chloride-bearing materialsare the DuPont Hypalon (or Hypalon-like chlorosulfonated polyethylene rubbers from other manufacturers,such as Okonite) jackets typically used on containment power and instrument cable. Post-LOCA in-containment radioactivity exposure to these materials can lead to radiolytic breakdown with free chlorineradicals available for carryover as hydrochloric acid to the suppression pool by containment sprays orcondensation, with resulting decreases in suppression pool pH. Cables in sealed metal conduits can beexcluded from consideration, as there is no mechanism for any significant HCI produced to be releasedthrough the conduit (even if connections are assumed to leak, the HCI vapor formed is so chemicallyreactive that no significant amount would remain unreacted and available for release).

2. Background and Approach

An LSCS estimate of the total drywell exposed cable inventory was developed from current SLICE data forFire Zones 2J (Unit 1) and 3J (Unit 2) (which comprises each unit's containment). Pages A3 through A5 provide

R1 formulas and process calculations, and on page A19 and A38, totals for fire zones 2J and 3J, respectively,were collected from the SLICE database which is used in the calculation. The comparison of the resulting pageA4 totals to a detailed cable-by-cable listing from the INDMS database for the similar Limerick Generating StationUnits shows good agreement.

In an effort to make a conservative approach the following assumptions were used to calculate the greatestHypalon content. Of the two fire zones within the SLICE data, 3J was found to be considerably greaterthan 2J, and was used as the focus for the calculation. The total BTUs were taken from SLICE data andconverted into feet using the NES-MS-05.1 BTU per foot data. To assure that the maximum surface areapossible was being calculated, the cables were all assumed to be Instrument cables that had a diameter of3/4 inches. The assumptions yielded the greatest surface area and the most feet per BTU, thereforemaximizing the total possible Hypalon content.

Hypalon may be used not only as an external cable jacket material, but also as a filler inside the jacket.Therefore, to conservatively account for such Hypalon use and in accordance with the equivalentassumptions used by Grand Gulf, an equivalent chlorine-containing material thickness of 80% of the cableradius is used in the spreadsheet, considered as 100% Hypalon. Additional conservatism is provided byinclusion of all cable types as if they are all Hypalon or Hypalon-equivalent jacketed.

Finally, an additional 5% of the cable surface area is included (in the Attachment C spreadsheet) to accountfor free air (not in conduits or trays) cables, and an additional 10% of both of these cable areas is included(in the Attachment C spreadsheet) to assure accounting for any missed or minor future additions to thecontainment cable inventories.

3. Results

The data were used to develop total cable volumes and the resulting volume-average cable radius [derivedas the square root of the quantity (Total Cable Volume divided by pi and the Total Cable Length)]. TheHypalon thickness was then derived as 80% of this average cable radius. The results are provided in thefollowing spreadsheet.

L-003064, Rev. 1, Attachment A, Page Al of A38

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LaSalle Containment Cable Insulation Estimate Per UnitSLICE Version 7.6 CABLE COMBUSTIBLE LOADING/FIRE ZONE 3J (3)

.Total Cable Power Cable Instrument CableBtus (1): I 45,063,2511 0 45,063,251Btus/ft (2):Length (feet):Cable diameter size (inches):Cable Thickness (mills):

S 1,612 9074 0 49,684

3/4" dia 3/4"dia140 70

(1) From SLICE Data attached(2) From NES-MS-05.1(3) Slice does not

I

L-003064, Rev. 1, Attachment A, Page A2 of A38

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LSCS DRYWELL CABLE ESTIMATES (per unit)SLICE Version 7.6 CABLE COMBUSTIBLE LOADING/FIRE ZONE 3J

CABLE

TYPE

PowerInstrument

CABLE

Btus (1) Btus/ft (2) LENGTH(FT)

0 1,612 0.045,063,251 907 49683.8

CABLE

O.D.(INCHES)

0.750.75

CABLE

O.D.(CM)1.911.91

CABLE

SURFACEAREA (SQ FT)

0.009755.40

CABLE

SURFACEAREA (SQ CM)

0.09063064.0

CABLE

VOLUME(CU CM)

0.04316284.2

SUM - OVERALL 45063251 49683.849 9755.40

VOLUME AVERAGED CABLE RADIUS (CM)

HYPALON AVERAGE THICKNESS AT 80%OF VOLUME AVERAGED CABLE RADIUS (CM)

R1 I Cable Btus based on review of SLICE data for Fire Zones 2J & 3J.

I(1) From Calc L-000776, Rev 3C(2) From NES-MS-05.1

9063064.0 4316284.2

0.95250

0.76200

Cable Data L-003064, Rev.1, Attachment A Page A3 of A38

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ILSCS DRYWELL GABLE'ESTIMATES (per unit)SLICE Version 7,6

:CABLE,, CABLETYPE3 Btsli "BtbWWft)2' LENGTH

(FT)Power B i- fZ, 8/CBInstrumenit 81 97 91IC9~

:SUM,-.OVERALL 45083251 ýýS Uhlý08 D I Oj

VYOL-UMEAVERAGECr' CABLE RADIIU.S

CABLE CABLE,O.D.: OýD-

(INCHES) (CM)0~75 =E8'2 5-40.75 =E9'*2.54~

CABLESURFACE

AREA (S9 FT)

~(E8/ 2)*PO; ..

CABLESUIRFACE

AREA (SQC -M)S=G6'929,0304,

"CABLE.VOLUME,(C=I • 0 CM)

~PI8~3.480182y2 I Rl

'HYPALON AVERAGE T.HICKNESS AT,80%,'OF VO.LUME AVERA"GE.D ýCýABLE 'RADIUS (CM)

R 1 Czble- atus b~ased oorve fSUGýEd a1: foiire'oe 2J:1-ý- &3j.9romn Gale L-W0776,R PC,,F Fonm NE S11MS 0 S.I

F, 130 * 0

ta~lt~i!ata Gable Data ~~L-003064, RovAi,.Attachmnent A ae oIA8 RRageýMWA38 I Rl

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SLICE DATA:R11 Note: SLICE does not specify all cable identifiers.

2J BTU1WR061 369921WR062 369921WR063 369921WR064 369921WR065 369921WR066 582081WR077 1161271WR079 01VP111 827641VP112 1263241VP113 500941VP116 500941VP117 500941VP133 0

1VP134 01VP145 141751VP146 266221VP157 283501VP158 532441VP172 328441VP173 444361VP176 535501VP177 72450

1VP182 328441VP183 44436

1VP186 535501VP187 724501VP222 60621VP223 69281VP253 572221VP254 774181VP264 572221VP265 774181VP281 1764981VP283 1764981VP285 324181VP287 324181VP289 324181VP291 324181VP293 1656921VP295 1656921VP297 1656921VP299 1656921VP301 1656921VP303 165692

L-003064, Rev. 1, Attachment A, Page A5 of A38 I R1

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1 VP3.50 169884.VP 35 T1 69884

1VP352 54:4501 VP353 54,4501WR05,t. 01WR053, 0i ARo57 1086751 WR059. 1008781WR060 369921 RkR416 420751RT017 35496i1RT0)23 1i8900

1RT025 " 11592z1 RTO5 241501 RT053i 393751 R1056. 26082,1IRT058. 42525:

1RT073 21252,1RT075' 39375.RT078 24150IRT080 39375:1RT11i4 2:937i6

1 RT203, 774181RT210:O 42075,1 RT2212 454411RT215 42075

1RT243'. 1044581SC017: 102396'IV024 .... 683820.

1.VP0256 79779IVi073 532441,VP074 410221.VP089i 827641 WtbO 1698841.VP091 111.0781VP092, 1698841,VP093q 160988 41VP09,4 169884i•VP095 1089001 VP096 126324r1 1.PO9i 1,089001V•P098' 1263241 VP099 50094,1P10'i 0.. 500944,lVP1O1 1698841VP102 126324*1VPJi03, 50094

.L003064, Rev-1 Aftachment A, Page:A6 of A38

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1 VP10,4 50094ý1 VPO5• 126324:.1VP106 126324

1VP107 143,7481 VP,108. 1263241VP109 1,69884

I V P 1 1 0 1 6 9 8 8 4:1RR0•53i 0

1RR068 39375iRR074 160721 RR077, 01 RR082 1711681RR083 1390741 RR094 33696601 RR0.95. 266221:RR097 285480:i:RRO9S 3"549,6

TRR152 2504701RR158 169884I RR160 .250470:1RR162 169884.

iRR165 625601 RR166 424,321RR170 18010

1RR73 1t044581RR209 164541 RR219 138561RR225 625601 RR226 54944

• R4227. 54944-1.:.RR232, 12124i RR2343: 77941 RR234 121.24,1RR235 60621iRkR236. 35904 "1 RR23,7 35904.1 RR238 359041RR243 01 RR244• 138561R 1'2"4•5 0..

1R.R246 01 RR:2.70 1.71/• 168

.1RR271 792001 RR332 668251RR334 ...... 41i2501:RR362 139074

R'R364 139074iRR366 64350

•L-'003064, Rev.1 Attachment APage:A7 oF A38l

Page 25: Calculation L-003-64, 'Suppression Pool pH Calculation for ... · Exelon Reviewer: 'f"7 , ... Documents List (ADL) for the associated Configuration Change'? Do the sources of inputs

1 RR368 171168iRR-382 781001 R-385 55380,1RR390 681601RR392 553801RF045 25200;IRF062 9386:RF063 9386IRF080 48280IRF1007 148104:1 RH163 0iRHi65 01RH24!, ..... . 0

1RH243 01RHI2•96: 6....i062:

iRH356 6.762-RH358 110285

1RH'451: 11 2581RH452 11258,TRH454. 294441 RH455 29444tRH457 6062:I [ H •: 5 .... ... .. ...... ..6 6.'lRH458 6062.1RH460 60621ARH461 60621 RH463 389701RH464 38970I RH466 389701 RH467 389701RH59, 57222

1RH596 117811R64:2 241i401RH644 31,9501RH646 31950

1R11 41 0NR 431 0

.1 RII7"1 9239598I R121'2 0iR1261' 1i12023.1R1271 575101tRi302 0iRR015 16443.1RR023 219241RR027 ................. 131581RR029. 42398IR-R031• 20706

RR033 .35496

L-003064, Rev:-1 Aftachment A, Page: A8 oA.38'

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1 RR047 38454;NRR049 47132'8

:RR051 576321 PI174. 01tP1 .75 . 1675.71P1176 167571 P11,77, J67'571P1 T18 167571P11.79 16757I Pii80 167571Pi1,81t 167571 Plf82 16757iP 113 16757.1 PI 1,84 167571P1185 167571PI186 16757I:PIT87 16757iP11!88 01PH189 01iP1:190 ... ... ... ....0

1 PI191 04p1192 0

91 P113 0.1PI194 01 P1195 16"7"57•1,P!19,6 16757

p i19 0 . 165757-1P11'98 1,6757,1PI199 16,7 5 7;..P200 167571P1201: 16757•0-1,202 1 i67571•PI203 167571tP1204 167571012056 ............. 167571P1206 16757

h120 i 7 1 1 i16757i1P1208 01 P1209 01PI'210 16757:P1211 16757IP1212 f167571iP12'1:3 16757:1 PI 214 16757t1 R I064 2201RE069 6022-5i.REI'O' 1 3 5781RE1 1 13578

• L003064,.Rev-: 1 Aftachment A, Page A9:oPA38

Page 27: Calculation L-003-64, 'Suppression Pool pH Calculation for ... · Exelon Reviewer: 'f"7 , ... Documents List (ADL) for the associated Configuration Change'? Do the sources of inputs

1RF018 81650i Pi 128 01•PI:29 01PI130 01 P1131 .1P11'32 0TP1133 01P1134 01PI135 0

A1 P1136 0

1P1137 0!P1138 01P11i39 01PI140 01P 41... 01PI142 0iPIi43 01P1144 01P1145 0

.1011P46 167571P1147, 16757I1'1150 16757-

1011.49 167571-PI150 16757:

1 Pi1 i514 1....... 6757}1P1155 167,571PIiT52 16757:1:P111.54 16757,1 PI155 1675.71P1i 6 : ... 6......... .7 0

PI1:57 16757S1P16 . .167571Pt180 16751PI160 01P11 61 ý0TP1162 01PI16 3 0I Pll64 01PI1650IP11 66 b1 Pi 167 0

TP11.69 01PI170, 0

P11 71 0.... O.1PI 172 01 P117 3 01 P1082 18046

L-003064, Rev.,j Attachment A, PageAlOofWA38'.

Page 28: Calculation L-003-64, 'Suppression Pool pH Calculation for ... · Exelon Reviewer: 'f"7 , ... Documents List (ADL) for the associated Configuration Change'? Do the sources of inputs

1 P1083 18046i P1084 18046I P1085 180461 P1086 01, P1087 04 . 01 P1088 01F0.89 0iP1090. 01P1091 01 P1092 01P1093 01:P094 0iP1095 01 P1096 01 Pi097. 01P1098 0iP1099 01PiO0 01Pll02, 0

P1102. 01PI103 0

P11'04 0.. : . . . .. .... . .... . ...... ... .. . . .. .. . . .... .

1P1105 0.P1106 0l Pll 07 0.,iPfIoBi 1841PI1,08 18046

TPIllO 18046i P1i,19 18046

.1P4111 180461PI113 180461li1U4 18046VP1115 180461Pi1l6 0

1P17 01PI118 0iPi:i09 0

P 1120b 01 P1121 0S1Pi'122. 01P11-23 0iPli24

0

S1:P1125 0

1Pl126 0I P1127- 0.1 P1036 18046Pi037 %18046PI'P038 18046

L-003064, Rev.1 AttachmentA, PagýeAll odfA38"

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1PI039 01 P1040 01 P1041 01 P1042 01P1043 01P1044 0iPi045 01P1046 180461 P1047 18046t PI048 180461P1049 180461iP105i 18046,

-~~~ WPOi 8461 P1052 180461 P1053 180461P1054 118046

1iP1056 180461P1057 18046P058 .. 18046

1P1059 01P1060 01 P1061 01P1062 01P1063 01.P1064 01P00666 0.'i 1 6 ... ......... .. . .... ..01P1066 01 P1067 01-•P 68 .1 P1069 0IP1070 o180461TP1071 1880461P107'2 1804611.067ý 1 80b461P1074 18046

1P17 f 1846

1iPi076 61846lP1077 18046TP1078 1'80461 PIO.79 1804610P080 180461P1081 180461NB907 85200iNB908.. 376301NB909 67450I NB9101 75260INB91.1 '674650

11401306"4t Pcv. 1 A,, h- trli APage A,2<ofA38

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1 NB912 752601N8913 852001NB914 376301 NB915 674501 N1B9616 8152001NB9177 67450i1NB'9g18' 75260I NR4.14 132001NR416 34848'INR418 1`5675'1NR420 413821NR422 01.NR424 01 NR426 0INR428 01NR4,30 1320.0iN R432 34848INR4,34 156751NR436 413821NR438 T4025,1NR440 37026INR442 T4,0251NRk444 3..70 ;2 16.1 NR446 0iNR448 01NR4,50 01 NR45-2 01 NR4542 01 NR456 0l N R 4 5:8 .................... 0 ,1NR460 0INR4-72 341601NR482: 01NR492 14945

NR50,2 1.4451P1030 18046I P1031 1f80461 P0312 180461P1033 180461P1034 • 180461 P1035 18046i N'B650 658981NB651 01NB652 65898iN 1B653 .. . ........... 0

1NB65.4 658981NB655 01 NB675 0

L4013 O64•:R';,Rv A:i'. Ynýt A Page A13To.A38

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1NB676' 102508i N8677 36610.1.NB678 658981N5679ý 65898tNB680 . . 01NB681 0iIN8682 366101 NB683 .3661.01NB684 01 N5685 1684061NB686, 366101 NB687 01NB688ý 665981NB689; 01 NON, .771418.1 NB727 . 774181NB272 774181NB731 201961NB733 201961N5880 85200...1:NB882:. 852001 NB883 674501NB885. 674501 NB886: 85200I1NB6688 852001 NB889 852001INB891 85201NB892 67.450INB894: 67450

1.NB897 85200

IN58980 674501 NB900 674501NB901 852001 NB.'O2 823601 NB903 75260IN8904 6750.'INb905.. 852001 NB9061 :59640i NB8o0 1496251NB081 1890001NB082? I.89000b1:NB083 -1496251NB084 1496251NB086,. 1890001NB088 149625tN 089, 1890001NBO90 1:49625

LO 1Ai ih~L,• Page A14.of. A38

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1NB1Ol 5796SN:NBi03. 96075-1NBI05 5 7961NB107 960751NBi1 . 11592:1 N B113: 18900

1N17 1890001N8128. 149625I NB136 '165961"NB-139 :165961NB141 1.6596J1NB144' 6596iNB146 165961 NB1 49 165961 NB-i51 165961NB154: 16596iNB176 77281iNB178 1275751NB182, 28288,I NB183: 272001NB184 282881 NB185 272001NB186 28881NB187 272001 NB188 282881NB189 28288,i NB 9§Q 2 1 7.2001 NB19,1 2720071NB192. 282881.:INB1"93! . .... 27:20'0

1,NB1l94' 282881~iN B•19,5 .27200

1.IN B.196 :282881NB197! 272001"NB•1•98 .... 28•288:

1NB199 27,200I1-NB599 2931:7,6&I1LD158- 60621 LD.I8 21650

1101502 233821LD184 39836'iLDi188. 7i0146:1l:LD190O 23382

1LD192 39836JiLD1'96.. 10392:1LD198, 606201ED200 1. 039201 LD202 84002

• |U3O, :• A hi 'nL"tA,, PagezAlS: of A38A,

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1LD204 112581LD206 6062TLD208 4M8961 LD210 48496ILD2,12 . 21650

1;LD218. 216501L0222 48496iLM010 362 431LMO13 36243I:LM01§ '36243lLM022 01LM025 •36243:iM028 . 2322,1 LM031 2094041i LM034 24162011LM037 209404,ILM•04, 36243iLM043 362431LP05 1 484961LP052. 48496.1 LP07.9 94248iLP085 39760I MV063 916071 MV064 70746I MVi29 2628561MVl130 2628561MV1;31 i 262856

1MVt35 639001NB022 27-3480-f2N Bý4' 21'65051NB026 2734801:NB028 :27"3:480

1NBq03O 21'6505,1,NB032. 2165051 NB034 27/3480`1IEW257 70395'1 EW258, 70395S1FC132 961261.FP271 1121241... 60 621 FP275 91.7961FP277 75342

-1:)FP2,7,9 60621FP282 193621FP285 ............... 9686111FP287 1I20321l1HC089 6 123`41 ,HCO01' 2.-161,2

fO3~4 R(. t~dh riiiA, Page A16.of A38,

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1HP259 1,23087I LD093 244801LD094 418881LD096 32640

I1LDO98 282881 LDlD00 52224,f LDb02 62560I LD:104 418881tLD1,06 41888I1LD1)08 369921LD109 32640i il b 52224iLD1 12 369921LD114 36992•LDI 16'i 369921 LD118, 41888ILD20: 369921LD122 369921LDOT24 369921LD126. 36992.1LD128 36992,i~i3 30ý 62 ;56011LD132 369921•D:34 :522241 4LID1 36, 29376

1.LD1:42 52224jL!i'44 29376ILDbf54 282881LD160: 0iLD19,70i .. .... 10392:

1LD172 103921D174 10392

iLD176 103921'CT027 660001 CT028 . 660001 CT029: 75900fICTO3O 75900.i.TO3i . 759001 CT032' 56100iCtO33- 561001:CT03.5. 56100ft i'er356 5:6.1 b0T'CT036 759001CT037 41250C.038 ....... 83325

1CT039, 41250iCGTO4fO 27690IC•T041 35500

,1 iw it A.Page A]17 of AA.

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1CT04.2 489901 CT0:43, 90880•1 CT044ý 568001CT045 653201i ,T046 ............ 568001CT04-T 4828013T0,8 355001:cT049§ 355001 CTO0 321,75ICT05,1 4'1 2501:CTI052Z 56925i CT0 1056001 CT054 660001 CT055, 759001 CT056. 660001 CT057 561001 CCT-585 412501iCT059 412501,CT060 5692,51iC•T062~ .... 2525:40

I1C067 0i EW175 166055IEW17-7. 01EW183 0I EW1854ý 160551EWI188! 65455iEWf89: 654551 EW246, 01EW24& 14820'.iEwV254. 01EW256 14820iCMi 118 2720I1CM250 843631CM252 9681tWM254 926611CM256 92661,i CM258 9681I1CM260 92661t.CM262 19362

CWM264 §681:!CM266: 19,362i"CM268 06811CM270: 193621CM272 9681'Cýi M274 . 1........ 19362

1CM2,76 9681.1CM278 717448'It CM280. 146598

' £(0)30;R v,•:; A••,ac;hrn!tri A.•, Page A18 of[ A38:

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1CM282 29444icM284 92661i

I1 CM286, 92661.1 CM288. 1465981CM290. 1465981,CM292 193621 CM294 §6811CM296:. 96811:CM301 4896•1M404 27201CM430' 48961 CM431 2720iCTO1O 412501iCT011 379501 CTO1 2 37950iCT01 :3ý 181501c10014, 4,2501 CTO1.5 41 .2 501CTO-16 37950iC"T017: 18. 1 5'01CT01:8 569251 C:T0U49 5.692.5

1ICT021 5.6925i•:"C•TO 2"2 "05'OO60

1CT,0231. 767251C•024, 66000:iT025. 759001CT026 75900

,W1CM165, 4896ICMt 116 .48961dCM1i,17 2720

Total 32695306

.R. . 1 -1 it i Page A19 of A38

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3J BTU,2CMil15 1990402CM116 13056,2CM117 32642CM1:8 326'4,-2CM250, 42434

.2CM254 4936220M256 692'82CM258 69282CM260: 69282CM262 6928

1 2CM264 69282CM266 69282CM268, 69282CM270" 692820M272 6928'2CM274 69282CM276 692820::M278 1i03054:

2CM280'! 98724ý2CM282 467642CM284 900642CM286 900642CM288.. 9872-4,2CM290 883322CM292 69282CM294 69282CM296 69282CM301 130562CM402 19040

2CM403 36412CM404 32642-01io0 46200.2CT011 46202CT0102 2640002CTOI4- 462002CT015 46200201016. 264002CTO7I :140252C1018 462002CTO19 264002CT020. 5.19752CT021 519752CT022' 973502CT023" 618752CT024 61875

Lj"3064, Rt~ A!ah1ýil A, Page A20 oI A38

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2CT025 618752C1026 61'8752CT027 6187 5:2CT028, 618752C029. 61875.2CT030 618752CT031 61i8752CT036 726002CT037 462002CT038 808502CT039 46200S2CT040 227202CT041 397602CT042 4473020143 .. 837802CT044., 532502CT045 532502CT046! 532502CT048 227202C01049 397602CT050 264002CTO51 462002C1T052 19'2CT05:3. 973502T05•4 618752CT055 61875:2c:T056i 61875•

.2T058 . 264002CT059 46200I2CT060 .. .51....97.. 52CT062 230580

2EW175 .135852EW1771 02 . .83 0.... .. b2EW185" 135852•EW:188 6o422.0

2EW1i89, . 642202EW246. 6175ý 2EW -2486: 14620..

2EW254.- 61,5T________ 1820

2EW2578 494002EW258r 494002FCi132 ....... 87/466.

2FP271 11,2582FP275 1385 .i62FP275 83.136

LAX~064R IA~a ii tr(A, Pag VA21 of A38

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2FP277 736102FP279 1108482FP282 17979

*2FP285 1770242FP287 1175552HC091 02HC092 792442HC 1152LD092 674562LD093 190402LD094 440642LD096 223042LD098. 320962LD100 451522LD02 . 674562LD104 130562LD106 130562LD-108, 451522LD0109' 223042LD ... 451522LD118 13056:2LD120 451522LD,1t22 451522LD1 24 451522L1,26 45152,2LD128 451522LD130. 674562Li32 .451,522LD134 674562LD136 . 67456-2LD142 674562L144 :67045662LD154 13056

F2LD160 1:30562LD170. 372382LD172 372382LD174 ý372'382LD176 3.72382LD178" 69282LD180.. 277122LD182 277122LD184 277122LD188 874662LD190 277122LD1:92 ........ 2771/2.

2LD!94 69282LD196 1:i21i24:

2L:98 41':568

•0'0A P A hr'i T A, Page A22 ofA38

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2LD200". 8.74662LD202 73.6102LD204 277122LD206 6928

.2LD208. ............ 1186422LD210 1108482LD2,12 147222LD214 27712,2LD21,8 1472222L1222 1030542LM010 4993482LM013 334241,2LM016 4993482LM019 3342412LM022 966482LM025, 966482LM028 j90302LM031 '1409452LM034 1409452LM037 1409452LM040 3584032LM043 4993482LP039 3520022LP051 1108482LP052 1108482LP079 908802LP084 2002T772LP085 908802MV063 888862MV064. 5 -7141:..2MV129 2220682MV1Ml30 2220682MV131 2220682MV135 575102:NB:IO 1 0...I.. ....

2NB103 677252NB105! 02NBI07 677252NB111 135242NB11:3, 220502NB1.36 594692NB139 59469

2NB141 594692NB144 594692NB146 594692NB149 594692NB151 594692NB154 59,469

0 4.1~ . hwi~n APage.A23of A38

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2NB176 125582NB178 1590752NB182 130562NB183; 1:30562NB184. 13562NB185 190402NB186 1`30562NB187 190402NB188 130562NB890 1'30562NB190 190402N.I191 299202NBi92 130562NB193 299202N194 .. 1305'62N8195 190402NB196 13056,2N19:7 299202NB198 130562NB:199 19040

2NB599 45152z2NB650 19040

2NB651 65282NB652 190402NB653 65282NB654 190402NB655 65282NB675 130562NB676 130562NB677. 3:2642NB678: 674562NB679 6741562NB680. 342,722NB681 342722NB682 .473282NB683 47328

2NB6&4 130562NB685 130562NB686 32642NB687 .. l..90402NB3688 190402NB689 65282NB724 757352NB727 1548362NB729 1548362NB731 723692N733' 723692NB880 83780

S30,; ... ah. ,ulI A, Page A24 oFA38

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i2NB881 198802NB882 83,7802NB883 795202NB3884 305302NB885 . 9..5........ 79,6202NB886 923002NB887 198802N8888' 92300F2NB889. 923002NB890 198802NB891 923002NB89ý2 901 702NB893 305302NB894. 90170.2NB895 . 837802NB896. 198802NB897 837802NB898 79520•2NB899: 305302N8900 795202NB901 :795202NB902 78810

2NB904 901702NB905 837802NO907 837802NB909 795202NB911 901702NB912' 653202NB913 923002NB9151. 958502NB916.. 92300.2NB9117 795202NB918. 65320

536252NB931 .. 53625.2NB932' 536252NB933 379502NB934 37950.2NB9357 379502N89386 379502NB9397 379502N I 638 31950.

.2NB939ý 379502NB950: 825002N95 ... 82.500..2NB952 825002NB953 825002NB954 82500

L'.030F4 R~.~t i ilAPage A25 of A38'

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2NB955 825002NB956: 825002NB957 825002NB958 825002NB959 825002NB970 536252NB97.1 536252NB97272 536252NB973 379502NB974{ '379502NB975 '37950

2NB97.. 37950

2NB97• 379502NB979 37950

.2NB990 62700

2NB9921 627002NB992. 62700.2NB994 62700

2NB9954 627002NB995 62700

2N199 62700"2"NB•99 •....... 62700

2NB998 627002NB999: 627002NBA20 536252NBA21 53,625•2NBA22 53-6252NBA23 '321752NBA2•4 321752NBA25 321752NA26 '321i752NBA27 32-1752NBA28 321752NBA29 ... 321i715

2NBA40 882752NBA41 882752NBA42 882752NBA43 882752NBA44 8825.2NBA4¢5 882752NBA46 88275

.2NBA4,7 882752NBA48 88275"2NBA49 ...... 8...... 88275..2NBA60 536252N3A61i 53625:2NBA62 ..... 53625

L-QO304. t; AR;, ciab~ .nLAPage-A26 of.A,38

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2NBA613 379502NBA64 379502NBA65 379502NBA66 37-950..2,NBA67.. 379502NBA68 37950

N8A69 '379502NBA8O 53625,

2NBA81 536252NBA82 ý536252NBA83 37950•2NBA84 37950'2NBA85 379502NBA86 379502NBA87. 37950,2NBA88 37950,2NBA8§ :379502NBB10 676502NBBE11 676502NBB,12 .676502NBB1:3 67650,2NB81:4 67650

2NBB15 767,252NBB16 :767252N3B1I7 ,76:725

2NBBT8 j767252NBB~i9 76725

2NBB3 .. 882752NBB31 882752N BB32 ...... 8.82 52NBB3-3 882752NBB34 88275'2NBB35 882752NBB36 882752NBB3837 882752NBB38 882752Nb9 g88275

.2NBB50 64350ý2NBB51 64350,2NBB,52 643502NBB53 321-75,2NBBý54 321,752NBB55 -321,752NBB56 321752NBB5 .. .3217

2NBB58 32175:2N1BI359 3217,5

2NBB7 . 8827.5

tO00 , ~ Page A27 of A38

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2NBB71 882752NBB72 M82752NBB73 882752NBB74 882752NBB7:5.. 882752NBB76 88275

.2NB78 882752NBB79 882752NBB90 648502NBB91 64350S2NBB92 :64:3502NBB92 64350ý2NBB93 321752NBB94 321752NBB95 . 321752NBB96 32-1752NBB97 32175

'2NBB98 32,165:2NBB99 321752 N BC20,. 76725ý2NBC21 767252-NB22 767256

:2NBC23 767252NBC24 .76725.2NBC25 76,252NBC26. 767252NBC27 176725.. 2N 28 . 767252NBC29 76.725.2'NBC 643502NBC41 :643502NBC42 643502NBC43 321,752NB13C44 32175

S2:NBC45 .... :321i7:5

2NBC46, 321752NBC47 32175

2N8C48 321752NB.49: 32175.2NBC601 88275.2NBC61 882752NBC62 88275:,2NBC63 88275

:2NBC64 88275:2Nb065 .- ,882752NBC66:. 882752NBC67 88275.2NBC68 88'2:75

LX~O64 P~, iA~a:h,~I Page A28 of A38

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2NBC69 882752NBC80 64,3502NBC81: 643'50

2NBC82 643502NBC83 379502NBC84 379502NB(C85 379502N BC86- 379502NBG87 379502NBC88 379502NBC89 379502NNbi0: 767252NBD1i 767252NBD12 767252NBD13 76725:2NBD14 76725.2NBD6 76,7252NBD16 767252NBD17 767252N80D18, 767252NBD19 767252NBD91 0

2NBD94 239252NBD97 313502NBD990 379502NBEIl 02NBE3i2 239252NBE.13 31,3502NBE14 379502N 28 ... . b2NR299 02NR301. 02NR303 02NR418 370262NR420 3.70262NR422 66002NR424 17424

.2NR426 0:2NR428 0"2MNR44 14"0252NR436 370262NR438 305252NR440 805862NR442 :3052520N444, 05862NR446 02NR448 02NR450 0

L-030*Q4j4 R V,;,l . !At rtl,,:,rllVA•,Page A29TofA38'

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2NR452 02NR454 66002NR456 172.422NR458 02NR460 02NR492 384302 NR5b2 '3843'02PI030 1,28902PI0311 1,28902P103,2 12,8902P1033 1,2890

FPi034 1.28902P1035 12890:2PI036 128902P103 . 12890.2PI038 12890,2PI039 02PI040

0

2PI041' 02P1042 ....... ... 02P1043 02 2Pi044' 02P1'045 0

128902P1047 128902P1048 12890:2P1049 12890

.2P1050 128902PIO51: 12890

!.2P1 15:2 1.. ...... i2'890

2P1053 128902Pi054 128902P1055 128902P1056 12890'2P10J57 1.... i2:8903

2P1058 128902P1059 02P1060 02P1063 02P062, 02P1063 0

:2P1064 0

S2:P10675 , .......... 0 .2PI066 0

2P1069 02P1070 .12890

I ~OE3~. R~x, A~ i ~nril V, Page A30,ol* A38

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2P1071 =128902P1072 12890

2P1073 128902P1074 128902P1075 :128902P10.6 128902Pi077 128902P1078 128902P1079 128902P1080 128902P1081 128902P1082 128902P1083 128902P1084 128902P'1085 128902P1086 0•2P1087 02PI088 02P1089 02P1090 .0.2P1091 02Pi092 02Pi093 02P1094 02P1095 02P1096 02PI097 02PI098 02P1099 0.2P#1100 0...o

2PI101 02PI102 02P1103 0O2PI104 0:2P13i1 5 ... ............... 0

2P1106 0

2P i •i :10 .. ... .... .... 12 92P 110 ... .. 1 8 0:2Pi108 128902PI109 128902P1110 128902PiIll. 12890

2P1112 12'890-2P113 12890.2PI1114 12890

2Pl115~ 12890

2PI 17 02P1118 0

U ~ !m, 11 4.11 ~ ii l PageA31 ofA38&

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2PI119 Q2P1i20 02PI1i2i 02,P1122 02PIT23 02P11%2A 0'2P1125 0

2PI126 0.

2PI1,27 02PI1128 02Pit29 02Pr1'30 02,Pl131 0,2PI132 02Pf 3:3 . . . .. ... .. 0

2P0134 0:2Pi1i315 0

2PI136 02P1137 0

2PIt38 02P11139 0

: 2P i .411 .. ....... .. ..... 02P11.41 02PI14!2 0

2P1143 02Pl144 02P1i4.5 0'

12Pi1'46 193352P1147: 193352P48.. .. 193352PI149 193352PI150 193352P11 515 193352PI152 19335201153 19335:2PI1154. 193352P11•5ý5- 193352P1156 193352PI157 19335-201Pi5 3 193352PI159 1.93352P1160 02PIi61" 02PI162 02 163 .....:2P11264 0

2Pl1166 0

T00,I64,R 4-1k|, -V I lAhcu 'i i A, Page.A32ýofA38

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2PI167 0201168 02PI169 02PI170 02 P li17 1 .... ..... .... . .

2P1172 02Pf117 3 02P1174 02PI175 193352PI176 193352PI177 193352P1178 193352P1 79 193352 Pi 1180 193352P811,91 193352PI182 193352P1183 1I093352Pit84 193352PI185 193352PI186 9... 193352PI187 19335

2Pii88 02Pit89 02PI 1190 0

:2P :i91' 0

2PI192 02Pli93 0

2PI1194 02PI195 19335

2PI1:96 19335•.2PI1197 1933,512P1198 193352P1:1•99 193352oPI 200 19335

2PI202 193352PI20"3 193:35'

.2Pi204 1933,52P1205 193352 'P206 193352PI207 19335,2P1208 02PI209 02PI210 193352PI211:.. . 19335:

2P121'2 1,93352P121 ,3 9335

2P124 '1'9335

L-00(30.3O6 rk I Ah Atld hMnA- Page A33 oC A38

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2RE069 544502RE 102 122762RE103 122762RF018 880402RF062 155612RF063 155612RF080 589302RF100 1546382RH163 02RH165 02RH241 231842RH243 378002RH24-7 1212782RH250 165.6482RH253 . 20664.2RH270 1597322RH273 367362RH296 69282RH356 173882RH358 53244,2RH4'51, 2771.22RH54... 27712214H454 4`6 7642RH4'55 467642RH457. 692-82RH4;58 69282RH460 1,55882RH461. 60622RH463 .242482RH464• 2424.8.2RH466 796722RH467 7§672.2RH594 02RH642 383402RH644 2911 ..2RH646 653202RH723 180102RH724 126002RIO19 1,622252Ri141 . 994982Rt143. 162225,2Ri171 i 2514302Ri2,12 1733492RI271 603502R1302. , 02RR015 23751S2RR'023 02RR0n27 7310

.L•,Oa3O. R W A ih , A:,: :Page A34 of A38

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2RR029 438602RR031 236642RR047 946562RR051 576322RR053 1 02RR068 378002RRO74 91842RRO77 516602RR082 1586872RR083 1f408572RR094 -325.7402RR095 384542RR097 289140'2RR098 02RR136 1.4371482RR1:47 1372142RR152 2700722RR158 1894862RR160 2700722RR162. 1894862RR165 674562RR166 473282RR170 180102RR173 1080602RR196 69282RR209 69282RR225 58208: 2RR226 67.4562RR227 674562RR232 69282RR233 .69282RR234 69282RR235 51962RR2:36 34272•-R24130 .... ..... 342722RR238 342722RR243 121242RR245 121242RR246 02RR270 1586872RR271, 734252RR332 544502RR334 519752RR362 1408572RR364 1408572RR366 651752RR368 1586872RR382 63190

, Rl,, i t•h-, it A, Page A35!,ofA38

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2RR385. 560902RR390 631.902RR392 560902RR416 403922RR461.1i ....... 67,767.2RR4613 677.6.72RR465 67, 7672RR467, 677672RR469 02RR47i: 02RR473 0'2R101 7 1656482RT023 882002RT025 540962RT051 357422RT-053!. 582752 RT 656; 3091 22RT058 '504002RT0713 15456:.2R10O7,5....... 267:75:

2RT07& 309122RT080! 5040'0

ý2-T11 -4 . 45152.2RT203: 1548362RT210 62'27T2RT2122i 53856.2RT}21 5! 28611i

2RT27 '538562RT243 108060'2SG;01i7 ....... 99498"

2VP,024 '6382322VP02 524262

2VP073 47,3282VP074: 364642VP,089 . 82764

-2VP090 189486.2VP091 11,10782VP092 .. 1894862VP093 1894862vP094,4 '1894862VP,095' 13721.4,-2 1P0'96" '11 1".i078

2VP097" '3172142VP098 ' 1.11078

2VP-IO0 370262V1,01i 18§4862VP102 111078

4 Page A36 of A38

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2VP103 1459262VP1 04 370262VP105' 11.10782VP106, 1110782,VP107.. 1894862VP108 1.110782VPj1509 1894862VP1:10 189486;

2VP111 137214,2VpiT"2I 1:110782VP1"1 3 370262VPl 4 370262VP.115 370262VP116 370262VPi7. 37026:2VP133: 2721362VfP134 2096682VP145: 1-26002VP14& 236642VP157......... 28350.2-VP1'58- 5324421vP..,172 417 ;3342 V P"1 738 8887 ,22VP17W6 1449422VP'77" 272136

2VP182! 47334,2VP-i83I 888722VP•186 & 1449422VP187 2721362VP222. 02VP223' 77942VP35'0 f1001882VP351 1001882VP354 132062'2VP3.55!. .... 7..... 2•2062,2WR051 0.2WR053 0:2WR057 85050.2WR059 97954•2WR060 .451,522WR06! 45152-2WRO&I 45152

2WR063: 4 51522WRO,64• 386242WR065 4 . 4.1....... 522WR066: 505922MR077 12/76-I

.2WR07. 0

L-oc~4.W V A~~v j APage A,37of A38"

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I I Ital 45Wýý

JAOR3O6A Rov. I Af ,, &h rrnIjA\ Page A38oC A38.

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R1 LSCS pH CalculationAttachment B

Part 1: Determination of Post-LOCA Drywell and Suppression Pool Integrated 7 and 3 Energy,and Suppression Pool Integrated Doses for Suppression Pool pH Determination

&

Part 2: Core Cesium and Iodine Determination&

Part 3: Drywell and Suppression Pool Gamma Mean Free Path Determination

1. Part 1 Purpose

The purpose of this analysis is to determine Post-LOCA Drywell/Containment and SuppressionPool Integrated y and P energies, and Suppression Pool Integrated Doses for Suppression Pool pHDetermination. This data is used in Attachment C of this calculation to determine the radiolyticgeneration of acid input to the suppression pool.

During a DBA-LOCA, analyzed using Alternative Source Terms (AST), radioactivity is releasedfrom the reactor, first during a 1/2 hour gap release period, and then during an early in-vesselrelease period. Activity is then removed from containment by decay only for conservatism andsimplicity.

2. Approach

This attachment calculates the total integrated y and 03 energy released into drywell/containmentat specific points in time, and total y plus 0 Dose in the Suppression Pool water. Forconservatism in this calculation, all activity is instantly distributed into the drywell andcontainment airspaces. The data is then used by the spreadsheets in Attachment C to calculate thechange in the pH of the pool water as a function of time.

Initial activity in the core is taken from the Calculation L-003128, Rev. 0, "LaSalle Source Termsfor Use in Alternative Source Terms" [Ref. 5.14], with the not included isotopes Co-58 and Co-60 from RADTRAD [Ref. 5.16] default values. Release fractions and timing are per RG1.183 [Ref. 5.6], Table 1. For simplicity, and because of its negligible effect, no credit is taken forthe 121-second minimum anticipated time before the start of gap activity. No credit is taken fornatural deposition or suppression pool scrubbing. This maintains aerosols airborne toconservatively simulate theoretical plateout contributions. In general, significant amounts ofplated-out material are likely to be washed into the suppression pool by condensed vapor flow orcontainment spray. Simultaneously, all non-noble gas releases are assumed to be instantlytransported to, and uniformly mixed in, the suppression pool water.

The calculation of the dose in the pool water, and the integrated energies from radiation indrywell/containment, parallel each other, up to the point of determining the total integrated y andJ3 energy released into containment at the specific time-steps used by Entergy in their GGNS

R1I Suppression Pool pH Analysis Calculation (No. XC-QI 111-98013, Rev. 2); the basis for this part of theLaSalle Generating Station (LSCS) AST analysis. First, for each isotope the following list ofparameters must be calculated or acquired:

Parameter OriginDecay Constant RADTRAD Standard Library Values

L-003064, Rev. 1, Attachment B, Page B1 of B56 I R1

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Release Fractions from 0 to 0.5 hours and Reg. Guide 1.183, Table 10.5 to 2 hoursInitial Core Activity Calc L-003128Activity in Drywell/Containment due to Calculated Herein, see belowGap Release at 0.5 hoursTime Integrated Activity through 0.5 hours Calculated Herein, see belowof Gap ReleaseActivity in Drywell/Containment due to Calculated Herein, see belowEarly In-vessel Release at 2 hoursTime Integrated Activity through 2 hours of Calculated Herein, see belowEarly In-vessel ReleaseTotal Time Integrated Activity Released Calculated Herein, see belowthrough 2 hoursTotal Activity in Drywell/Containment at 2 Calculated Herein, see belowhoursGamma (Photon) Emission Energy Radioactive Decay Data Tables, by

David C. Kocher [Ref. 5.11] ascompiled in RadDecay (see nextparagraph below)

Beta Particle Emission Energy Radioactive Decay Data Tables, byDavid C. Kocher [Ref. 5.11] ascompiled in RadDecay(see nextparagraph below)

As noted in the last 2 rows above, the gamma (photon) emission energy and beta particleemission energy are found for each isotopic nuclide using the RadDecay database. The isotopicnuclide of interest is selected in RadDecay and a list is selected (number of photons for photonemission or number of betas for beta emission). The list displays energy in MeV and theprobability of decay. The list is copied into a Microsoft Excel spreadsheet where the energy andprobability are multiplied (the average energy is used for the beta list). This is then summed andthe total emission energy is found (in MeV/decay). The Excel spreadsheet providing the lists andprobability fractions by isotope from RadDecay, and the resulting products and summations, isincluded as pages B6 through B28.

Calculated Values

In order to evaluate the activity in containment, and subsequently the concentration of activity, itwas necessary to develop functions that took into account the LSCS conditions, while providingthe necessary inputs for the analysis model of GGNS.

- Activity in Drywell!Containment up through 0.5 Hours (Due to Gap Release)

0.5 -A

aG (.5) = f 0-.5 × x -a .e 5 = fA-0 5 x aoe

0.5

fo0 .5= activity release fraction at 30 minutes, variable depending on isotope

L-003064, Rev. 1, Attachment B, Page B2 of B56

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a,= initial core activity, variable depending on isotope (Ci)e= constant2= decay constant, variable depending on isotope (hours-)t= time (hours)('/0.5)= release fraction buildup over 0.5 hours related linearly (as done in RADTRAD)

Activity in Drywell/Containment up through 2 Hours (Due to Early In-vesselRelease)

aE( 2 ) = f5-2 x 2-0.5 x aoe -O.x 5= f5-2 x aoe1.5

t-AaE(2 ) = f,-, x --xaoe

1.5

fo.s-2= activity release fraction at 2 hours, variable depending on isotopea,= initial core activity, variable depending on isotope (Ci)e= constant2= decay constant, variable depending on isotope (hours-)t= time (hours)('/1.5)= release fraction buildup over 1.5 hours related linearly (as done in RADTRAD)

Time Integrated Activity through 0.5 Hours (from Gap Release)

aG(t) = a. x 1o-0.5 x 0.5 e

0.5 0.5

AGO-0. = fa 0 (t)dt = a,, xf.-, Je-dta~~o ~0.5 f te-

0 0

AGO-o05 0.5 Af2- [1-e 5"((0.5A + 1)]

fo-o.s= activity release fraction at 2 hours, variable depending on isotope('10.5)= release fraction buildup over 0.5 hours related linearly (as done in RADTRAD)a,,= initial core activity, variable depending on isotope (Ci)e= constant2= decay constant, variable depending on isotope (hours-)t= time (hours)aG(t)= activity in containment as a function of time, due to gap release (Ci)AGo0_.s= time integrated activity though 0.5 hours due to gap release (Ci-hours)

Time Integrated Activity through 2 Hours (from Early In-vessel Release)

aE (t) = a 0e- 5 x f0.5-2 x x [Note: Here, t starts after 0.5 hour]

1.5 1.5

AEO-i.5= faE(t)dt 1 -. Jte-dt0 0

AEO15 - 1 1e- [1- e-_-s 5(1.52 + 1)]

L-003064, Rev. 1, Attachment B, Page B3 of B56

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fO.o5= activity release fraction at 2 hours, variable depending on isotope('/1.)= release fraction buildup over 1.5 hours related linearly (as done in RADTRAD)ao= initial core activity, variable depending on isotope (Ci)e= constantA= decay constant, variable depending on isotope (hours-)t= time (hours)aE(t)= activity in containment as a function of time, due to early in-vessel release (Ci)AEOr5= time integrated activity from 0.5 to 2 hours due to early in-vessel release (Ci-

hours), after shutdown

- Total Time Integrated Activity Released in Drywell/Containment through 2 Hours

A2,_, = AGO-o. 5 + AEO- 1 .5

AGoo0.s= time integrated activity though 0.5 hours due to gap release (Ci-hours)AEo0_5= time integrated activity from 0.5 to 2 hours due to early in-vessel release (Ci-

hours), after shutdown

- Total Activity in Drywell/Containment at 2 Hours

a(2),o~ot= a(2) + a(0.(5) x e-15A

a(0.5)= activity present in containment at 0.5 hourse= constantA= decay constant, variable depending on isotope (hours-)t= time (hours)

When the above values are obtained for each isotope, the Activity in Containment can becalculated at given times, and subsequently the energy from the activity can be calculated in thefollowing manner:

- Total Time Integrated Activity in Drvwell/Containment at Specific Times (t hours)

auime = (a(2),_ro ) x (1 - e--'z-2)) + A2

a(2),oel= total activity in containment at 2 hours (Ci)a 2,,,,= total time integrated activity released through 2 hours (Ci-hours)A= decay constant, variable depending on isotope (hours-)t= time (hours)

At this point, the above equation is used to calculate the activity at the given timesteps, due to 'yand 03 radiation and the values are summed for all contributing sources, as used in the GGNSanalysis model. Finally, the activity's radiation energy concentration is calculated by dividing

L-003064, Rev. 1, Attachment B, Page B4 of B56

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over the airspace volume of containment. Subsequently, this data is input into the spreadsheet ofAttachment C to calculate the concentration of HCl that results in the pool (due to the release ofchlorine from the radiolysis of cables in primary containment), and its contribution to the pHtransient.

Of additional concern is the formation of Nitric Acid (HNO3), which contributes to the transientcalculated in Attachment C, by serving to lower the pH in the pool. Any activity from sourcesfound immediately in the pool water is a factor in this acid's formation; therefore a dose to thewater must also be calculated. Because the noble gas sources stay gaseous and do not mix withthe pool water, we need only to consider non-noble gas sources in this calculation. As statedearlier, up to the point of determining the total integrated y and 13 energy released intocontainment at the specific time-steps, the calculation of the dose in the pool water, and theintegrated energies from radiation in containment parallel each other.

As before, the activities at given timesteps are summed for all contributing sources and theradiation energy concentration is calculated. However, the Entergy designed spreadsheet used inAttachment C .uses a dose value for its calculation directly to HNO 3 concentration, so it wasnecessary to convert the energy concentration (MeV/cm3) to dose (Mrad). The conversion factorwas determined to equal 1.60209E-14 (Mrad/(MeV/cm 3)). When all concentrations wereconverted to doses, the y and P3 values were summed and input into Attachment C to calculate theconcentration of HNO 3 formed, and its contribution to the pH transient.

Part 2: Core Cesium and Iodine Determination

Cesium and Iodine released from the core during the DBA-LOCA have an impact on suppressionpool pH. lodines can contribute to the formation of hydriodic acid, HI, and cesiums contribute toformation of Cesium Hydroxide, CsOH. There is significantly more Cesium available andreleased from the core than Iodine. Therefore, these materials lead the suppression pool to bebasic essentially from the beginning of fission product releaseL The conservative determination ofthe quantities of Cesium and Iodine utilized is provided on page B-55, with the formulas providedon page B-56.

Part 3: Drywell and Suppression Pool Gamma Mean Free Path Determination

Gamma mean free paths in the drywell and suppression pool are used to conservatively assess thesize of the contained cloud that will irradiate cable. These mean free paths are used as inputvalues for the Attachment C Transient Pool pH Calculation spreadsheets, cell H-7 and H-8. Thevalues are obtained from LSCS General Arrangement Floor Plan Drawing No. M-7 (Ref. 5.12).To conservatively account for uncertainty, the maximum distance from the reactor vessel centerto the inside of the containment wall was used for both the Drywell and suppression pool gammamean free path. This value was scaled off of the M-7 drawing as approximately 1145.4 cm.

L-003064, Rev. 1, Attachment B, Page B5 of B56

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L-003064, Rev.1, Attachment B

Gamma (Photon) Emission Energy [MeV/dePhoton Emission Products: Kr-85Energy(MeV) Fraction

0.51399 0.00434

Photon Emission Products: Kr-85mEnergy(MeV) Fraction

0.00159 0.0010030.012598 .0.0111620.012649 0.021631

0,0141 0.0055090.30487 0.139890.00169 0.000586

0.013336 0.0061160.013395 0.01183

0.015 0.0031050.12985 0.0030110.15118 0.752780.58128 0.000211

Photon Emission Products: Kr-87Energy(MeV) Fraction

0.00169 0.0000290.013336 0.0003390.013395 0.000655

0.015 0.0001720.40258 0.4950.67387 0.0190580.81425 0.0016830.83637 0.0075240.84543 0.0727650.94664 0.001386

1.1754 0.0112371.338 0.006484

1.3825 0.0028711.3899 0.0012381.5312 0.0035641.578 0.001287

1.6112 0.0010391.7405 0.0204931.8426 0.0013862.0119 0.0289572.4085 0.0021292.5548 0.093062.5581 0.0391052.8114 0.0031683.3085 0.0045051.6201 0.006499

Photon Emission Products: Kr-88Energy(MeV) Fraction

0.00169 0.0022740.013336 0.0237160.013395 0.045873

0.015 0.0120390.027513 0.0206220.12227 0.0019720.16598 0.0310360.19632 0.259850.24071 0.0025260.31169 0.0010730.33471 0.0014530.36223 0.022490.39054 0.0064360.4217 0.001280.4718 0.007266

0.67734 0.0023530.78828 0.0053280.79032 0.0012460.83483 0.129750.85034 0.001730.86233 0.0067120.94492 0.0029410.98578 0.0131480.99009 0.001419

1.0396 0.0048441.0495 0.0014191.1413 0.0128371.1795 0.0099651.185 0.006885

1.2098 0.0014191.2127 0.0013841.2452 0.003633

ecay]

0.0022307170.002230717 MeV/decay

1.59477E-060.0001406190.0002736117.76769E-050.042648264

9.9034E-078.1563E-05

0.0001584630.0000465750.0003909780.113805280.00012265

0.157748265 MeVldecay

4.901 E-084.5209E-06

8.77373E-060.000002580.1992771

0.0128426140.0013703830.0062928480.0615177140.0013120430.01320797

0.0086755920.0039691580.0017206960.0054571970.0020308860.0016740370.0356680670.0025538440.0582585880.0051276970.2377496880.1000345010.0089065150.0149047930.01052903

0.793096882 MeV/decay

3.84306E-060.0003162770.0006144690.0001805850.0005673730.0002411160.0051513550.0510137520.0006080330.0003344430.0004863340.0081465530.0025135150.0005397760.0034280990.0015937810.0041999560.0009847390.108319193'0.0014710880.0057879590.00277901

0.0129610350.0014049380.0050358220.0014892410.0146508680,0117537180.0081587250.0017167060.0016783770.004523812

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L-003064, Rev.1; Attachment B

1.2507 0.011211.325 0.001592

1.3523 0.0015921.3695 0.0147741.4069 0.002181.4648 0.0011421.5184 0.0215211.5298 0.109341.6038 0.0045671.6856 0.0066431.8928 0.0013841.9087 0.0010032.0298 0.0452912.0354 0.0373682.1865 0.0028722.1958 0.131832.2318 0.0339082.3521 0.0073012.3921 0.3462.4089 0.0010382.5484 0.006228

2.771 0.0014881.0001 0.018892

Photon Emission Products: Xe-133Energy(MeV) Fraction

0.00429 0.0614190.030625 0.136410.030973 0.25262

0.035 0.0906440.079621 0.0021650.080997 0.36483

0.1777 0.000712

Photon Emission Products: Xe-135Energy(MeV) Fraction

0.00429 0.0065710.030625 0.0144610.030973 0.02678

0.035 0.0096090.1582 0.002886

0.24979 0.8990.35839 0.0022020.40799 0.0035780.60819 0.0289480.68433 0.002093

Photon Emission Products: -131Energy(MeV) Fraction

0.00411 0.0055

0.029458 0.0134680.029779 0.024987

0.0336 0.0088830.080183 0.0261820.17721 0.0026480.2843 0.060521

0.32578 0.0025070.36448 0.811640.50299 0.0036050.63697 0.0726050.6427 0.002195

0.72289 0.0180250.32939 0.002304

Photon Emission Products: 1-132Energy(MeV) Fraction

0.00411 0.0006120.029458 0.001720.029779 0.003192

0.0336 0.0011350.1472 0.0023690.1833 0.0013820.2548 0.0018750.2627 0.014410.2848 0.0072050.3165 0.0013820.3635 0.0049350.3878 0.0029610.4168 0.0047380.4319 0.0048360.446 0.006021

0.4739 0.0017770.4785 0.00148

0.0140203470.0021094

0.0021528620.0202329930.0030670420.0016728020.0326774860.1672683320.0073245550.0111974410.0026196350.0019144260.0919316720.0760588270.0062796280.2894723140.0756758740.017172682

0.82766660.0025004380.0158714350.0041232480.0188938891.954558418 MeVldecay

0.0002634880.0041775560.0078243990.00317254

0.0001723790.0295501360.0001265220.04528702 MeV/decay

2.81896E-050.0004428680.0008294570.0003363150.0004565650.22456121

0.0007891750.0014597880.0176058840.0014323030.247941755 MeV/decay

0.0000226050.00039674

0.0007440880.0002984690.0020993510.0004692520.017206120.00081673

0.2958265470.0018132790.0462472070.0014107270.0130300920.0007589150.381140122 MeVldecay

2.51532E-065.06678E-059.50546E-050.0000381360.0003487170.000253321

0.000477750,0037855070,0020519840.0004374030.0017938730.0011482760.0019747980.0020886680.002685366.

0.000842120.00070818

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L-003064, Rev 1, Attachment B

0.4882 0.0041450.5059 0.050337

0.52265 0.160880.5355 0.005231

0.54 0.0010860.5471 0.012535

0.8 0.0013820.6208 0.0039480.6212 0.015792

0.63022 0.137190.6506 0.0266490.659 0.003948

0.66769 0.9870.6698 0.049350.6716 0.0523110.727 0.031584

0.7272 0.0217140.7285 0.0108570.7645 0.003948

0.77261 0.761960.7802 0.0123380.7845 0.0042440.8098 0.0286230.8122 0.0562590.8633 0.0058230.8768 0.0107580.9103 0.0091790.9276 0.004145

0.95455 0.180620.9837 0.0056261.0347 0.0047381.136 0.02961

1.1434 0.0135221.1474 0.0027641.1732 0.0108571.2727 0.0017771.2907 0.0113511.2953 0.019741.2976 0.0088831.3178 0.0011841.3721 0.0246751.3986 0.0710641,4426 0.0142131.4768 0.0013521.7575 0.0029611.9211 0.0118442.0022 0.0108572.0868 0.0023692.1727 0.0019742.2232 0.0011842.3905 0.0016781.0146 0.031946

Photon Emission Products: 1-133Energy(MeV) Fraction

0.00411 0.0005380.029458 0.0015130.029779 0.002807

0.0336 0.0009980.2627 0.003565

0.26717 0.0011650.34543 0.0010360.36108 0.0011220.41805 0.0015280.42291 0.003090.51053 0.0181270.52987 0.86320.61797 0.0053950.68025 0.0064480.70658 0.0149330.76838 0.0045660.82051 0.0015370.85628 0.0123440.87533 0.0447140.90967 0.002123

1.0523 0.0055161.0601 0.0013731.2364 0.0149331.2982 0.0233061.3504 0.001485

0.53524 0.006072

0. 0020235890.0254654880. 0840839320.0028012010.00058644

0.0068578990.0008292

0.0024509180.00980999

0.0864598820.0173378390.00260 17320.659010030 .03305463

0.035 132068.0.0229615680.01579042 10.0079093250.0030182460. 5886979160.009626 1080.0033294180.023 1789050.04569356

0.0050269960.0094326140. 0083556440.0038449020.1724108210.0055342960.0049024090.03363696

0. 0154610550. 00317 14140. 0127374320.00226 15880.0146507360.0255692220.01 15265810.00 15602750.0338565680.09939011

0.0205036740.00 19966340.0052039580.0227535080. 02 17378850. 0049436290.00428891

0. 0026322690.0040112590.0324124122.291306399 MeVldecay

2.2 1118E-064.457E-05

8.35897E-053.35328E-050.0009365260.0003112530.0003578650.000405 1320.00063878

0.0013067920.0092543770.4573837840.0033339480.0043862520.0105513590.0035084230. 00126 1124

0.0 10569920.0391395060.00193 12290.0058044870.00 14555170.0184631610.0302558490.0020053440.0032499770.60667451 MeVldecay

Photon Emission Products: 1-134Energy(MeV) Fraction

0.00411 0.001687 6.93357E-06

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L-003064, Rev.i, Attachment B

0.029458 0.004321 0.0001272880.029779 0.008016 0.000238708

0.0336 0.00285 0.000095760.1354 0.037592 0.005089957

0.13903 0.00687 0.0009551360.15198 0.001059 0.0001609470.16248 0.002576 0.0004185480.18847 0.006965 0.001312694

0.217 0.002481 0.0005383770.23547 0.019845 0.0046729020.2788 0.001307 0.000364392

0.31981 0.005152 0.0016476610.35108 0.004961 0.0017417080.40545 0.073466 0.02978679

0.411 0.006106 0.0025095660.43335 0.041885 0.0181508650.45892 0.012976 0.0059549460.4655 0.003626 0.001687903

0.48888 0.014121 0.0069034740.5144 0.023375 0.0120241

0.54083 0.078236 0.0423123760.56552 0.008778 0.0049641350.57075 0.002099 0.0011980040.59536 0.11354 0.0675971740.62179 0.10591 0.0658537790.62796 0.023662 0.014858790.67734 0.084915 0.0575163260.70665 0.008301 0.0058659020.73074 0.019082 0.0139439810.73918 0.007633 0.0056421610.76668 0.041026 0,0314538140.81638 0.005248 0.0042843620.84702 0.9541 0.8081417820.85729 0.069649 0.059709391

0.864 0.001908 0.0016485120.88409 0.6526 0.5769571340.9226 0.001431 0.001320241

0.94786 0.040358 0.0382537340.9669 0.00353 0.003413157

0.97467 0.046751 0.0455667971.0403 0.019082 0.0198510051.0726 0.15266 0.1637431161.1001 0.00687 0.0075576871.1032 0.007251 0.0079993031.1362. 0.097318 0.1105727121.1591 0.00353 0.004091623

1.164 0.001336 0.0015551041.19 0.00353 0.0042007

1.239 0.002099 0.0026006611.2695 0.005629 0.0071460161.3224 0.00105 0.00138852

1.336 0.001431 0.0019118161.3526 0.004484 0.0060650581.4143 0.002194 0.0031029741.4282 0.001717 0.0024522191.4314 0.001717 0.0024577141.4552 0.022898 0.03332117

1.47 0.007728 0.011360161.5055 0.001145 0.0017237981.5415 0.005057 0.0077953661.6138 0.043602 0.0703649081.6292 0.002576 0.0041968191.6443 0.004007 0.006588711.6552 0.00229 0.0037904081.7415 0.026715 0.0465241731.8068 0.057246 0.1034320731.9259 0.001813 0.00 34916572.0206 0.001717 0.003469372.1599 0.002099 0.004533632.3124 0.002385 0.0055150742.4674 0.001527 0.003767721.7872 0.013348 0.023855546

2.625317013 MeVldecay

Photon Emission Products: 1-135Energy(MeV) Fraction

0.00411 0.000244 1.00284E-060.029458 0.000686 2.02082E-050.029779 0.001273 3.79087E-05

0.0336 0.000452 1.518726-050.2205 0.017452 0.003848166

0.22972 0.002317 0.0005322610.26426 0.00184 0.0004862380.28845 0.030899 0.0089128170.29027 0.003033 0.0008803890.36185 0.00186 0.0006730410.40303 0.002317 0.000933821

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L-003064, Rev.1, Attachment B

0.414830.417630.429930.433740.451630.546560.575970.649850.690130.707920.785480.797710.8368

0.961460.971960.972610.995091.03881.1016

1.1241.13151.1599

1.1691.24051.26041.36791.44841.45761.50281.5664

1.6781.70651.79121.83071.92732.04592.25552.40871.0734

0.0030040.03519

0.0030330.0055220.0031470.0712390.0012880.0045490.0012880.00658

0.0015160.0017170.0666610.0014590.0088690.0120160.0015450.07925

0.0160220.036049

0.225160.00103

0.0087260.009012

0.28610.0060650.0031470.0864020.0107290.0128750.0952710.0409120.0769610.0057790.0029470.0086970.0061220.0095270.014948

Photon Emission Products: Rb-86Energy(MeV) Fraction

1.0766 0.087795

Photon Emission Products: Cs-134Energy(MeV) Fraction

0.00447 0.0008940.031817 0.0021440.032194 0.003955

0.0364 0.0014390.47535 0.01460.56323 0.08380.56932 0.15430.6047 0.976

0.79584 0.8540.80193 0.08731.0386 0.011.1679 0.0181.3652 0.0304

0.27688 0.000354

Photon Emission Products: Cs-136Energy(MeV) Fraction

0.00447 0.02818

0.031817 0.0494540.032194 0.091244

0.0364 0.0332050.06691 0.124630.08629 0.0628110.10966 0.0040880.15322 0.0745760.16389 0.0460610.16653 0.0062810.17655 0.135590.18725 0.0059820.27365 0.126620.31987 0.0059820.34057 0.484540.50721 0.0097710.8185 0.9971.0481 0.795611.2353 0.19741

0.78724 0.0033

0.0012461490.0146964

0.0013039780.0023951120.00142128

0.0389363880.0007418490.0029561680.0008888870.0046581140.0011907880.0013696680.0557819250.00140277

0.0086203130.0116868820.001537414

0.08232490.0176498350.0405190760.25476854

0.0011946970.0102006940.0111793860.36060044

0.0082963140.0045581150.1259395550.016123541

0.02016740.1598647380.0698163280.1378525430.0105796150.0056797530.0177931920.0138081710.0229476850.016G451831.575084826 MeV/decay

0.0945200970.094520097 MeVldecay

3.99618E-066.82156E-050.0001273275.23796E-050.00694011

0.0471986740.087846076

0.59018720.67964736

0.0700084890.010386

0.02102220.04150208

9.80155E-051.555088123 MeVldecay

0.0001259650.0015734780.0029375090.0012086620.0083389930.005419961

0.000448290.0114265350.0075489370.0010459750.023938415

0.001120130.0346495630.0019134620,1650197880.004955949

0.81604450.8338788410.2438605730.0025978922.168053417 MeV/decay

B10 of B56

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L-003064, Rev.1, Attachment B

Photon Emission Products: Cs-137 0 MeV/decay

Photon Emission Products: Sb-127Energy(MeV) Fraction

0.00377 0.0038780.027202 0.0105510.027472 0.019684

0.031 0.0068330.0611 0.0142090.1543 0.0011420.2524 0.0838950.2804 0.0053550.2908 0.0182070.2933 0.002856

0.31 0.0020350.3918 0.0092820.405 0.001142

0.4116 0.0342720.4407 0,0024990.4449 0.042126

0.451 0.0017850.456 0.0010710.473 0.25026

0.5028 0.0060690.543 0.026418

0.5842 0.0032130.6036 0.0424830.6378 0.003570.6535 0.0024990.6669 0.0053550.6823 0.0053550.6852 0.3570.6985 0.0339150.7222 0.0174930.7459 0.0010710.7838 0.146730.8173 0.0026780.8201 0.0011420.9235 0.0046051.1412 0.003571.2903 0.003463

0.73674 0.005319

Photon Emission Products: Sb-129Energy(MeV) Fraction.

0.00377 0.0003090.027202 0.000940.027472 0.001754

0.031 0.0006090.0961 0.0018280.1162 0.0018280.1466 0.0022850.1808 0.0269630.2447 0.0054840.2686 0.0027420.2955 0.0109680.3135 0.009140.3325 0.0022850.3594 0.0301620.363 0.004570.405 0.014624

0.4535 0.0082260.4996 0.0022850.5238 0.0169090.5447 0.190570.6337 0.0292480.6543 0.031990.6698 0.0086830.6836 0.0073120.6836 0.0543830.7371 0.004113

0.761 0.0402160.7734 0.0292480.7866 0.0201080.8128 0.4570.8762 0.027420.9146 0.212960.9397 0.0077690.9664 0.0818030.9954 0.0013711.0301 0.13391.0838 0.0054841.1043 0.0022851.1254 0.0011431.1392 0.001828

1.46201 E-050.0002870080.0005407590.000211823

0.000868170.0001762110.0211750980.0015015420.0052945960.0008376650.00063085

0.0036366880.00046251

0.0141063550.0011013090.0187418570.0008050350.0004883760.11837298

0.0030514930.0143449740.0018770350.0256427390.0022769460.0016330970.00357125

0.0036537170.2446164

0.0236896280.0126334450.0007988590.1150069740.0021887290.0009365540.0042527180.0040740840.0044683090.003918720.66188912 MeVldecay

1.16493E-062.55699E-054.81859E-050.0000188790.0001756710.0002124140.0003349810.00487491

0.0013419350.0007365010.0032410440.00286539

0.0007597630.0108402230.001658910.00592272

0.0037304910.0011415860.0088569340.1038034790.0185344580.0209310570.0058158730.0049984830.0371762190.0030316920.0306043760.0226204030.015816953

0.37144960.0240254040.1947732160.0073005290.0790544190.0013646930.13793039

0.0059435590.0025233260.0012863320.002082458

811 of B56

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L-003064, Rev.1 Attachment B

1.16181.16781.20851.22331.2374

1.2571.2613

1.2731.2808

1.31.31721.32591.41861.43611.47971.5259

1.541.56871.59851.62111.65461.72411.73651.84181.86992.0696

2.1131.3107

0.0011430.0027420.0095970.0018280.0027420.0036560.0077690.0027420.0059410.0027420.0036560.0054840.0054840.0031990.0050270.00457

0.0013710.0073120.0054840.0027420.0105110.0027420.0635230.0022850.0031990.0059410.0036560.009826

Photon Emission Products: Te-127Energy(MeV) Fraction

0.3603 0.0013440.4179 0.00988

0.17269 0.001302

Photon Emission Products: Te-127mEnergy(MeV) Fraction

0.00377 0.0732150.027202 0.104150.027472 0.19432

0.031 0.0674550.08826 0.0008670.00394 0.001214

0.028317 0.0030470.028612 0.005674

0.0323 0.0019880.0576 0.003783

0.64861 0.000113

Photon Emission Products: Te-129Energy(MeV) Fraction

0.00394 0.061630.02777 0.162590.20896 0.0016610.25062 0.0035290.27843 0.0052260.28126 0.001519

0.4596 0.0710.48739 0.013064

0.8021 0.001768

1.0839 0.0045441.1116 0.001761

0.65688 0.003779

Photon Emission Products: Te-129mEnergy(MeV) Fraction

0.00377 0.0475370.027202 0.0787970.027472 0.14701

0.031 0.0510320.1055 0.001472

0.00394 0.0001110.55665 0.001290.69588 0.0327160.72957 0.0076290.74252 0.003084

0.0013279370.0032021080.0115979750.0022361920.0033929510.004595592

0.009799040.0034905660.007609233

0.00356460.0048156830.0072712360.0077796020.0045940840.0074384520.0069733630.00211134

0.0114703340.0087661740.0044450560.0173915010.0047274820.11030769

0.0042085130.00598181

0.0122954940.0077251280.0128789381.429852265 MeV/decay

0.0004842430.0041288520.0002248420.004837938 MeVldecay

0.0002760210.0028330880.0053383590.0020911057.65214E-054.78316E-068.62819E-050.0001623446.42124E-050.0002179017.32929E-050.01122391 MeVldecay

0.0002428220.0045151240.0003470830.0008844380.0014550750.000427234

0.03263160.0063672630.0014181130.0049252420.0019575280.00248235

0.057653871 MeVldecay

0.0001792140.0021434360.0040386590.0015819920.000155296

4.3734E-070.0007180790.022766410.00556589

0.0022899320.039439344 MeV/decay

Photon Emission Products: Te-131mEnergy(MeV) Fraction

0.00377 0.016695 6.29402E-050.027202 0.035883 0.0009760890.027472 0.066946 0.001839141

B12 of 856

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L-003064, Rev. 1, Attachment B

0.0310.182250,00394

0.0283170.028612

0.03230.079190.081140.08643

0.10160. 102080.134860.149720.159660.182250.183110.188 130.189760.190520.200630.213980.230650.240930.253 170.255440.2692

0.278560.2832

0.309470.334270. 335440.342920. 35130. 3547

0.364980. 38390.41740.4324

0.452320.462920.468160.492660.52480.53070.54140.5863

0.602040.6094

0.665050.6859

0.695620.70250.71 310.7442

0. 773670.7741

0. 782490. 793750.,822780.8449

0.852210.852210.856080.86510.8723

0.910.920620.9234

0.94 1270.9878

0.999261.03541.05971.1255

1.1281. 14891.14891.15091.16551.20661.23731.31521.34061.3948

1.6461.88772.0009

0.0232390.0085470.0 110910.02832

0.0527380.0 184810.0012790 .0406820 .00 14720.00 17050.0794260.00709

0.0507550.00 12790.007361

0.00 1550.0021310.0050370.0011620.755520 .0042620 .00 19370.0759390.006509

0.003 10.00 10850.0178220.0038740.0037580.0956990.0013560.0038740.0020920.0022860.0120110.0020 150.00279

0,.0066250 .0 154980.0182 1

0.0031380.0023250.00 13560 .00 10460.00 1124

0.0 1976M,031

0.00 13950.043394

0.001550.0039910.0039130.0143350.01 5885

0.382020.0054240.077876

0.13870.0612 16

0.00 1550.0038740.20651

0.0061990.00 19370.0010070.0329330.0120110.0011620.0078260.00 155

0.0017050.0010460.0 15498

0.11430.009686

0.0 15110.0038360 .0065860.00 13950.0976360 .0065860.0069740.00 10070.00 10850.0123980.0135610.020147

0.0007204090.0015576914 .36985E-050.00080 19370.00150894

0.0005969360.00010 12840.0033009370.0001272250.000 1732280.008 1062180.0009561570.0075990390.0002042050.00 134 15420.00028382 10.0004009050.,00095582 10.00022 13840.01 51579980.0009119830.0004467690.01 82959830.0016478840.0007918640.0002920820.0049644960.0010971170.0011629880. 03 19893050. 0004548570. 00 13284720.00073492

0.0008 108440.0043837750.0007735590.0011645460.00286465

0.0070 100550.0084297730.0014690860.0011454350.0007116290.0005551120.0006085340.0115852880.0018663240.000850 1130.02885918

0.0010631450.0027762190.0027488830.0102222890.0118216170.2955574130.004 1987180.0609371910.110093125

0.05036730.0013095950.0033014620.1759898870.00530684

0,001,6756990. 0008784060.02996903

0.0110575670.00107299 10.0073663790.00 153109

0.00 17037380.00 10830280.01642323 10.12864465

0.0109258080.0173598790.00440718

0.0075798270.00 16258730.1178075980.008 1488580.009 1722050.0013499840.0015133580.020407 108

0.02559910.040312 132

B13 of 656

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L-003064, Rev 1, Attachment B

2.1685 0.0034872.2707 0.003836

0.63194 0.035532

Photon Emission Products: Te-132Energy(MeV)

0.003940.0283170.028612

0,03230.049720.11176

0.11630.22816

Fraction0.072597

0.183060.3409

0.119460.131120.018480.01936

0.88

Photon Emission Products: Sr-89Energy(MeV) Fraction

0.9091 0.00015

Photon Emission Products: Sr-90

Photon Emission Products: Sr-91Energy(MeV) Fraction

0.2612 0.0043550.2727 0.0025350.2747 0.0100430.3799 0.001430.6201 0.0172250.6313 0.0053950.6523 0.0289250.6529 0.0780.653 0.00455

0.7498 0.229780.7614 0.005590.8208 0.001560.8797 0.001820.9258 0.0373751.0243 0.3251.0546 0.0021771.1408 0.0012351.2809 0.0090681.4134 0.0095231.4738 0.0016251.6514 0.0028271.724 0.00156

0.77634 0.011908

Photon Emission Products: Sr-92Energy(MeV) Fraction

0.24152 0.02970.43056 0.03330.4913 0.002610.6507 0.00369

0.95332 0.0361.1423 0.02881.3839 0.9

0.66462 0.00171

Photon Emission Products: Ba-139Energy(MeV) Fraction

0.00465 0.0047830.033034 0.0093440.033442 0.017208

0.0378 0.0063190.16585 0.1736

1.4205 0.00281.2711 0.001053

Photon Emission Products: Ba-140Energy(MeV) Fraction

0.00465 0.147130.01385 0.011730.02997 0.14025

0.033034 0.005320.033442 0.009797

0.0378 0.0035980.13284 0.0021420.16264 0.067320.30484 0.0450580.4237 0.032461.

0.43755 0.0199410.46757 0.00153

0.007561560.0087104050.0224540921.426278626 MeV/decay

0.0002860320.00518371

0.0097538310.0038585580.0065192860.0020653250.002251568

0.20078080.23069911 MeVldecay

0.0001363650.000136365 MeVldecay

0 MeVIdecay

0.0011375260.0006912950.0027588120.0005432570.0106812230.0034058640.018867778

0.05092620.00297115

0.1722890440.0042562260.0012804480.0016010540.034601775

0.33289750.0022958640.0014088880.0116152010.0134598080.0023949250.004668508

0.002689440.0092446570.686686441 MeVldecay

0.0071731440.0143376480.0012822930.002401083

0.034319520.03289824

1.245510.0011365

1.339058428 MeV/decay

2.2241E-050.000308670.00057547

0.0002388580.028791560.0039774

0.0013384680.035252667 MeV/decay

0.0006841550.0001624610.0042032930.0001757410.0003276310.0001360040.0002845430.0109489250.0137354810.0137537260.0087251850.000715382

B14 of B56

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L-003064, Rev.1 Attachment B

0.53732 0.2550.11884 0.000714

Photon Emission Products: Co-58Energy(MeV)

0.00070.0063910.006404

0.007060.810760.86394

1.67470.511

Fraction0.003622

0.0778270.1535

0.0309980.9943

0.0073580.005369

0.2986

Photon Emission Products: Co-60Energy(MeV) Fraction

1.1732 11.3325 1

0.69382 0.000163

Photon Emission Products: Mo-99Energy(MeV) Fraction

0.00242 0.002050.018251 0.0090460.018367 0.017297

0.0206 0.005190.040584 0.008832

0.14051 0.0378880.18106 0.0623360.36643 0.0136960.73958 0.128

0.778 0.04480.8229 0.001331

0.68013 0.002584

Photon Emission Products: Tc-99mEnergy(MeV) Fraction

0.00242 0.0048380.018251 0.0210210.018367 0.040194

0.0206 0.0120590.14051 0.89070.14263 0.000214

Photon Emission Products: Ru-103Energy(MeV) Fraction

0.0027 0.0005330.020074 0.0025110.020216 0.004773

0.0227 0.0014860.053275 0.0037340.29498 0.0024890.4438 0.0032

0.49708 0.8890.55704 0.0082680.61033 0.0560070.48693 0.001249

Photon Emission Products: Ru-105Energy(MeV) Fraction

0.0027 0.0003510.020074 0.0016530.020216 0.003143

0.0227 0.0009780.0859 0.00320.1492 0.01670.1636 0.00140.1836 0.0010.225 0.0015

0.2629 0.0720.3165 0.1170.3261 0.01180.3309 0.0079

0.35 0.0030.3502 0.0110.3934 0.0420.4075 0.00180.4135 0.02480.4694 0.175

0.47 0.0130.4896 0.0059

0.13701668.48518E-050.190953977 MeVldecay

2.5354E-060.0004973920.0009830140.0002188460.8061386680.0063568710.008991464

0.15258460.97577339 MeV/decay

1.17321.3325

0.0001130932.505813093 MeV/decay

0.0000049610.0001650990.0003176940.0001069140.0003584380.0053236430.0112865560.0050186250.094666240.0348544

0.001095280.0017574560.154955306 MeV/decay

1.1708E-050.0003836540.0007382430.0002484150.1251522573.05228E-050.126564801 MeV/decay

1.4391E-065.04058E-05

9.6491 E-053.37322E-050.0001989290.0007342050.001420160.44190412

0.0046056070.0341827520.0006081760.483836017 MeV/decay

9.477E-073.31823E-056.35389E-052.22006E-050.000274880.002491640.000229040.00018360.00033750.01892880.0370305

0.003847980.00261411

0.001050.00385220.01652280.00073350.0102548

0.0821450.00611

0.00288864

B15 of B56

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L-003064, Rev.1, Attachment B

0.49920.50040.51370.53920.575

0.57530.63230.63860.65260.656

0.65610.67640.72450.82210.84590.87580.90770.9694,1.01721.3211

0.70736

Photon Emission Products: Ru-106

Photon Emission Products: Rh-105Energy(MeV)

0.024 0.01198080.003 0.0015012

0.0036 0.001849320.0013 0.000700960.0013 0.00074750.0107 0.006155710.0023 0.001454290.0028 0.001788080.0035 0.0022841

0.002 0.0013120.024 0.01574640.167 0.11295880.49 0.355005

0.0019 0.001561990.0073 0.00617507

0.034 0.02977720.0059 0.005355430.0234 0.022683960.0034 0.003458480.0023 0.00303853

0.01281 0.0090612820.784210961 MeV/decay

0 MeVldecay

Fraction0.00284 0.000228 6.4752E-070.02102 0.000992 2.08518E-05

0.021177 0.001882 3.98551E-050.0238 0.000598 1.42324E-050.2801 0.00167 0.0004677670.3061 0.051264 0.015691910.3189 0.192 0.0612288

0.29492 0.00063 0.00018580.077649864 MeV/decay

Photon Emission Products: Ce-141Energy(MeV) Fraction

0.00503 0.026505 0.000133320.03555 0.048821 0.001735587

0.036026 0.089416 0.0032213010.0407 0.033592 0.001367194

0.14544 0.484 0.070392960.076850362 MeVldecay

Photon Emission Products: Ce-143Energy(MeV) Fraction

0.00503 0.096319 0.0004844850.03555 0.17684 0.006286662

0.036026 0.32388 0.0116681010,0407 0.12167 0.004951969

0.057365 0.1176 0.0067461240.169 0.00294 0.000496860.216 0.002058 0.000444528

0.23156 0.02016 0.004668250.29326 0.42 0.1231692

0.338 0.002856 0.0009653280.35059 0.0336 0.0117798240.43302 0.001344 0.000581979

0.439 0.001176 0.0005162640.49036 0.01974 0.0096797060.58728 0.002436 0.0014306140.66455 0.0525 0.0348888750.72196 0.05124 0.036993230.88039 0.00924 0.008134804

1.103 0.003654 0.0040303620.61062 0.008925 0.005449784

0.273366948 MeVldecay

Photon Emission Products: Ce-144Energy(MeV)

0.0050.0330.035

0.036C0.04

0.0400.08010.1330.067

Photon Emission Products: Np.239Energy(MeV)

Fraction03 0.015785 7.93986E-0562 0.00283 9.51446E-0555 0.024311 0.000864256'26 0.044525 0.001604058.07 0.016727 0.000680789'93 0.003888 0.00015913606 0.015984 0.00128041454 0.108 0.01442232'35 0.001325 8.92388E-05

0.019274755 MeVIdecay

Fraction43 0.61788 0.008835684.12 0.001001 4.94614E-05

B16 of B56

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L-003064, Rev.1, Attachment B

0.0572730.061480.099550.103760.10613

0.1170.181720.209750.226380.228180.254410.2776

0.285410.315880.3343

0.15151

0.0015090.009588

0.147130.236540.227010.11127

0.0011140.03243

0.0033840.10716

0.0010010.141

0.0077550.0159330.0203040.003933

Photon Emission Products: Pu-238Energy(MeV) Fraction

0.0136 0.115750.055303 0.000473

Photon Emission Products: Pu-239Energy(MeV) Fraction

0.0136 0.0441410.11291 0.000476

Photon Emission Products: Pu-240Energy(MeV) Fraction

0.0136 0.110120.054327 0.000525

Photon Emission Products: Pu-241

Photon Emission Products: Y-9O

Photon Emission Products: Y-91Energy(MeV) Fraction

1.2049 0.003

Photon Emission Products: Y-92Energy(MeV) Fraction

0.4485 0.0233520.4926 0.0048510.5611 0.0240470.8443 0.012510.9126 0.006255

0.93446 0.1391.1324 0.0024331.4054 0.0478161.8473 0.00361.6472 0.001519

Photon Emission Products: Y-93Energy(MeV) Fraction

0.00204 0.0000430.015691 0.0003180.015775 0.000611"0.0177 0.000172

0.2669 0.0685020.6802 0.0060810.9471 0.0195021.2033 0.0010271.4254 0.0023771.4505 0.0033551.9178 0.014052.1846 0.0015522.1908 0.0017131.4133 0.003257

Photon Emission Products: Zr-95Energy(MeV) Fraction

0.72418 0.436560.75671 0.55345

8.6425E-050.00058947

0.0146467920.02454339

0.0240925710.01301859

0.0002024360.006802193

0.000766070.0244517690.000254664

0.03914160.0022133550.0050329160.0067876270.0005958890.172110902 MeV/decay

0.00157422.61583E-050.001600358 MeVldecay

0.0006003185.37452E-050.000654063 MeVldecay

0.0014976322.85217E-050.001526154 MeV/decay

0 MeV/decay

0 MeVIdecay

0.00361470.0036147 MeVldecay

0.0104733720.0023896030.0134927720.0105621930.0057083130.12988994

0.0027551290.0672006060.00665028

0.0025020970.251624305 MeV/decay

8.772E-084.98974E-069.63853E-063.0444E-06

0.0182831840.0041362960.0184703440.0012357890.0033881760.0048664280.02694509

0.0033904990.00375284

0.0046031180.089089525 MeV/decay

0.3161480210.418801150.73494917 MeVldecay

Photon Emission Products: Zr-97Energy(MeV) Fraction

0.2022 0.001021 0.0002064460.21868 0.002321 0.000507556

B17 of B56

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L-003064, Rev.1, Attachment B

0.25415 0.012533 0.0031852620.27227 0.002507 0.0006825810.33043 0.001114 0.0003680990.35539 0.022746 0.0080837010.40039 0.003249 0.0013008670.50763 0.052919 0.0268632720.51347 0.005106 0.0026217780.60252 0.013926 0.0083906940.69063 0.002507 0.001731409

0.6992 0.001207 0.0008439340.7038 0.009284 0.0065340790.7957 0.001207 0.00096041

0.80453 0.006499 0.005228640.8298 0.002228 0.0018487940.8549 0.003342 0.002857076

0.97139 0.002878 0.002795661.0213 0.012069 0.012326071.1191 0.001114 0.0012466771.148 0.026459 0.030374932

1.2761 0.009748 0.0124394231.3627 0.013462 0.0183446671.7505 0.013462 0.0235652311.8516 0.003528 0.006532445

0.34409 0.002135 0.0007346320.180574337 MeVldecay

Photon Emission Products: Nb-95Energy(MeV) Fraction

0.00229 0.000053 1.2137E-070.017374 0.000281 4.88209E-060.017479 0.000538 9.4037E-06

0.0196 0.000158 3.0968E-060.76579 0.99808 0.7643196830.38917 0.000289 0.00011247

0.764449657 MeVldecay

Photon Emission Products: La-140Energy(MeV) Fraction

0.00484 0.002549 1.23372E-050.034279 0.004718 0.0001617280.03472 0.008656 0.0003005360.0393 0.003223 0.000126664

0.10942 0.00191 0.0002089920.13112 0.005538 0.0007261430.17355 0.001241 0.0002153760.24197 0.004297 0.0010397450.26655 0.00487 0.0012980990.32877 0.2053 0.0674964810.43253 0.029411 0.012721140.48703 0.45549 0.2218372950.75179 0.044021 0.0330945480.81585 0.23491 0.1916513240.86782 0.056339 0.0488921110.91963 0.028838 0.026520290.92524 0.070854 0.0655569550.9509 0.005347 0.0050844621.5965 0.9549 1.524497852.3488 0.008508 0.019983592.5217 0.034567 0.0871676042.5471 0.001041 0.002651531

1.208 0.004163 0.0050289042.316273704 MeV/decay

Photon Emission Products: La-141Energy(MsV) Fraction

1.3545 0.0262 0.03548791.6933 0.001179 0.0019964011.6743 0.003107 0.00520205

0.042686351 MeV/decay

Photon Emission Products: La-142Energy(MeV) Fraction

0.00484 0.000286 1.38424E-060.034279 0.000647 2.21785E-050.03472 0.001187 4.12126E-05

0.0393 0.000442 1.73706E-050.1061 0.001575 0.0001671080.1741 0.00105 0.0001828050.3673 0.00105 0.0003856650.3937 0.00105 0.0004133850.4208 0.002625 0.0011046

0.43334 0.0042 0.0018200280.5147 0.001575 0.0008106530.532 0.001575 0.0008379

0.57809 0.01365 0.0078909290.6195 0.001575 0.000975713

0.64117 0.525 0.33661425

B18 of B56

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L-003064, Revi1, Attachment B

0.86157 0.01995 0.0171883220.8782 0.0021 0.00184422

0.89485 0.093975 0.0840935290.9465 0.00105 0.0009938250.9622 0.0042 0.004041240.9912 0.00105 0.001040761.0067 0.002625 0.0026425881.01 14 0.043575 0,0440717551.0392 0.00105 0.001091161.0437 0.03045 0.0317806651.0618 0.001575 0.0016723351.0703 0.001575 0.0016857231.0742 0.00105 0.001127911.0889 0.002625 0.0028583631.1126 0.00105 0.001168231.1167 0.00105 0.0011725351.1306 0.00525 0.005935651.1445 0.001575 0.0018025881.1602 0.019425 0.0225368851.1743 0.001575 0,0018495231.1909 0.0042 0.005001781.2315 0.00315 0.0038792251.2331 0.020475 0.0252477231.2423 0.0021 0.002608831.2847 0.00105 0.0013279351.2701 0.00105 0.001333605

1.288 0.00105 0.00135241.3232 0.003675 0.004862761.3323 0.00105 0.0013989151.3546 0.00105 0.00142233

1.363 0.023625 0.0322008751.3736 0.0021 0.002884561.3893 0.004725 0.0065644431.3953 0.0021 0.002930131.4022 0.001575 0.0022084651.4455 0.001575 0.0022766631.4551 0.00105 0.0015278551.4937 0.001575 0.0023525781.5163 0.004725 0.0071645181.5355 0.002625 0.0040306881.5402 0.00525 0.008086051.5458 0.033075 0.0511273351.6182 0.00315 0.005097331.6514 0.0021 0.003467941.6881 0.002625 0.0044312631.7229 0.0168 0.028944721.7524 0.00105 0.001840021.7564 0.033075 0.05809293

1.768 0.0021 0.00371281.771 0.0021 0.0037191

1.7938 0.00105 0.001883491.8063 0.001575 0.0028449231.8171 0.00105 0.0019079551.8854 0.005775 0.0108881851.9013 0.08715 0.165698295

1.923 0.002625 0.0050478751.9335 0.001575 0.0030452631.9482 0.00525 0.010228051.9606 0.001575 0.0030879452.0042 0.0105 0.02104412.0255 0.01365 0.0276480752.0387 0.011025 0.0224766682.0504 0.00525 0.01076462.0552 0.0294 0.060422882.0769 0.00735 0.0152652152.0861 0.0042 0.008761622.1004 0.0105 0.02205422.1262 0.003675 0.0078137852.1393 0.005775 0.0123544582.1803 0.005775 0.0125912332.1872 0.058275 0.127459082.2905 0.003675 0.0084175882.3584 0.0084 0.019810562.3644 0.004725 0.011171792.3977 0.16275 0,3902256752.4195 0.0021 0.005080952.4594 0.0042 0.010329482.5132 0.001575 0.003958292.5323 0.00105 0.0026589152.5394 0.007875 0.0199977752.5427 0.11235 0.2856723452.6635 0.007875 0.0209750632.6668 0.0189 0.050402522.6726 0.0021 0.005612462.7823 0.00315 0.0087642452.8008 0.0063 0.017645042.8181 0.0084 0.02367204

819 of B56

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L-003064, Rev.1, Attachment B

2.8286 0.002625 0.0074250752.97 0.007875 0.02338875

2.972 0.033075 0.09829892.9917 0.00105 0.0031412852.9999 0.00525 0.0157494753.0071 0.0021 0.006314913.0129 0.00735 0.0221448153.0223 0.00105 0.0031734153.0343 0.005775 0.0175230833.0469 0.0042 0.012796983.0759 0.001575 0.0048445433.155 0.0021 0.00662553.181 0.00315 0.01002015

3.2367 0.00315 0.0101956053,2424 0.0021 0.006809043.2732 0.001575 0.005155293.3147 0.01365 0.0452456553.4019 0.00315 0.0107159853.4593 0.003675 0.0127129283.6121 0.008925 0.0322379933.6327 0.01155 0.0419576853.7191 0.00315 0.0117151653.8504 0.002625 0.0101073

2.718960898 MeVldecay

Photon Emission Products: Pr-143Energy(MeV) Fraction

0.74198 0 00 MeV/decay

Photon Emission Products: Nd-147Energy(MeV) Fraction

0.00543 0.079239 0.0004302680.038171 0.12956 0.0049454350.038725 0.23557 0.009122448

0.0438 0.090554 0.0039662650.091106 0.28 0.025509680.12048 0.003976 0.0004790280.19664 0.002044 0.0004019320.27537 0.008036 0.0022128730.31941 0.0196 0.0062604360.39816 0.008736 0.0034783260.41048 0.0014 0.000574672

0.4399 0.01204 0.0052963960.48924 0.00154 0.000753430.53102 0.13132 0.069733546

0.5948 0.00266 0.0015821680.6859 0.008148 0.005588713

0.61662 0.000655 0.0004038860.140739503 MeV/decay

Photon Emission Products: Am-241Energy(MeV) Fraction

0.0139 0.427 0.00593530.026345 0.024 0.000632280.033205 0.00106 3.51973E-050.059537 0.359 0.0213737830.069231 0.001793 0.000124131

0.028100691 MeVldecay

Photon Emission Products: Cm-242Energy(MeV) Fraction

0.0143 0.11543 0.0016506490.059249 0.000386 2.28701 E-05

0.001673519 MeVldecay

Photon Emission Products: Cm-244Energy(MeV) Fraction

0.0143 0.10307 0.0014739010.056867 0.000284 1.61502E-05

0.001490051 MeV/decay

620 of B56

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L-003064, Rev.1, Attachment B

Beta Particle Emission Energy [MeV/decay]Beta Emission Products: Kr-85AverageEnergy(Mev) Fraction

0.0475 0.00437 0.0002075750.2514 0.99563 0.250301382

0.250508957 MeV/decay

Beta Emission Products: Kr-85mAverageEnergy(Mev) Fraction

0.2382 0.0029 0.000690780.2904 0.786 0.22825440.0746 0.00021 0.000015666

0.228960846 MeVldecay

Beta Emission Products: Kr-87AverageEnergy(Mev) Fraction

0.1878 0.005 0.0009390.2875 0.00108 0.00031050.3264 0.044 0.01436160.3893 0.0058 0.002257940.5004 0.095 0.0475380.5626 0.0551 0.030999260.5787 0.0042 0.00243054

0.87 0.0062 0.0053940.9456 0.0016 0.001512961.0337 0.00124 0.0012817881.2942 0.069 0.0892998

1.502 0.407 0.6113141.6948 0.304 0.5152192

1.322858588 MeVldecay

Beta Emission Products: Kr-88AverageEnergy(Mev) Fraction

0.038 0.00353 0.000134140.109 0.0265 0.00288850.165 0.67 0.110550.227 0.091 0.0206570.284 0.0014 0.00039760.355 0.00204 0.00072420.441 0.0192 0.00846720.464 0.0023 0.00106720.561 0.0022 0.00123420.678 0.009 0,0061020.697 0.001 0.0006970.825 0.013 0.0107251.052 0.0026 0.00273521.136 0.018 0.0204481.233 0.14 0.17262

0.23383 0.00101 0.0002361680.359683408 MeV/decay

Beta Emission Products: Xe-133AverageEnergy(Mev) Fraction

0.0751 0.0069 0.000518190.1006 0.993 0.09989580.0111 0.000076 8.436E-07

0.100414834 MeVldecay

Beta Emission Products: Xe-135AverageEnergy(Mev) Fraction

0.0253 0.00123 0.0000311190.171 0.0313 0.00535230.246 0.00585 0.00143910.308 0.961 0.2959880.048 0.00075 0.000036

0.302846519 MeVIdecay

Beta Emission Products: 1.131AverageEnergy(Mev) Fraction

0.06936 0.0212 0.0014704320.08695 0.00627 0.0005451770.09662 0.0736 0.0071112320.19158 0.893 0.171080940.28325 0.00393 0.0011131730.20022 0.00069 0.000138152

0.181459105 MeVIdecay

Beta Emission Products: 1-132Average

B21 of B56

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L-003064, Rev.1, Attachment B

Energy(Mev) Fraction0.092 0.0026 0.00023920.103 0.0012 0.00012360.127 0.0019 0.00024130.154 0.0053 0.00081620.161 0.0033 0.00053130.223 0.0076 0.00169480.242 0.124 0.0300080.242 0.019 0.0045980.275 0.0032 0.000880.309 0.0355 0.01096950.331 0.081 0.0268110.342 0.0275 0.0094050.343 0.0336 0.01152480.409 0.0249 0.01018410.422 0.189 0.0797580.44 0.0095 0.004180.51 0.00113 0.0005763

0.519 0.017 0.0088230.543 0.101 0.0548430.543 0.02 0.010860.574 0.0014 0.00080360.608 0.124 0.0753920.841 0.169 0.142129

0.13448 0.004954 0.0006662140.486057914 MeVldecay

Beta Emission Products: 1-133AverageEnergy(Mev) Fraction

0.046 0.0041 0.00018860.11 0.0124 0.001364

0.122 0.00397 0.000484340.14 0.0375 0.00525

0.162 0.0313 0.00507060.23 0.00542 0.0012466

0.299 0.0416 0.01243840.352 0.0181 0.00637120.441 0.835 0,3682350.573 0.0107 0.00613110.284 0.00027 0.00007668

0.40685652 MeV/decay

Beta Emission Products: 1-134AverageEnergy(Mev) Fraction

0.255 0.0148 0.0037740.261 0.0033 0.00086130.279 0.00153 0.000426870.372 0.0122 0.00453840.46 0.325 0.1495

0.5 0.0053 0.002650.55 0.081 0.044550.58 0.163 0.09454

0.6 0.0367 0.022020.66 0.076 0.050160.69 0.112 0.077280.71 0.0112 0.0079520.88 0.037 0.032560.97 0.115 0.11155

0.26355 0.00226 0.0005956230.602958193 MeVIdecay

Beta Emission Products: 1-135AverageEnergy(Mev) Fraction

0.066 0.0014 0.00009240.068 0.00126 0.000085680.074 0.0014 0.00010360.086 0.0108 0.00092880.098 0.0091 0.00089180.103 0.0139 0.00143170.138 0.0473 0.00652740.145 0.0733 0.01062850.196 0.0157 0.00307720.213 0.011 0.0023430.243 0.079 0.0191970.272 0.0061 0.00165920.313 0.087 0.0272310.359 0.218 0.0782620.405 0.079 0.0319950.451 0.074 0.0333740.454 0.001 0.0004540.535 0.236 0.126260.591 0.012 0.0070920.858 0.019 0.016302

0.20722 0.00154 0.000319119

B22 of B56

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L-003064, Rev.1, Attachment B

0.368255399 MeVldecay

Beta Emission Products: Rb-86AverageEnergy(Mev) Fraction

0.2325 0.0878 0.02041350.7093 0.9122 0.64702346

0.66743696 MeV/decay

Beta Emission Products: Cs-134AverageEnergy(Mev) Fraction

0.02306 0.274 0.006318440.1234 0.0248 0.00306032

0.21011 0.701 0.147287110.33529 0.00053 0.000177704

0.156843574 MeVldecay

Beta Emission Products: Cs-136AverageEnergy(Mev) Fraction

0.0472 0.0249 0.001175280.0523 0.0021 0.000109830.0988 0.951 0.09395880.219 0.022 0.004818

0.10006191 MeV/decay

Beta Emission Products: Cs-137AverageEnergy(Mev) Fraction

0.1568 0.946 0.14833280.4152 0.054 0.0224208

0.1707536 MeV/decay

Beta Emission Products: Sb-127AverageEnergy(Mev) Fraction

0.0727 0.0011 0.000079970.0829 0.0061 0.000505690.1275 0.008 0.001020.1328 0.0125 0.001660.1551 0.0522 0.008096220.2111 0.0125 0.002638750.264 0.078 0.020592

0.2651 0.172 0.04559720.3041 0.349 0.10613090.3258 0.041 0.01335780.3909 0.228 0.08912520.4465 0.024 0.0107160.5619 0.02 0.011238

0.16435 0.0014 0.000230090.31098782 MeV/decay

Beta Emission Products: Sb-129AverageEnergy(Mev) Fraction

0.074 0.011 0.0008140.083 0.0041 0.00034030.088 0.02 0.001760.156 0.0094 0.00146640.166 0.225 0.037350.199 0.034 0.0067660.208 0.266 0.0553280.236 0.0105 0.0024780.244 0.0174 0.00424560.258 0.011 0.0028380.304 0.0027 0.00082080.371 0.04 0.014840.386 0.0059 0.00227740.408 0.021 0.0085680.52 0.032 0.01664

0.587 0.101 0.0592870.61 0.043 0.02623

0.666 0.027 0.0179820.706 0.077 0.0543620.741 0.009 0.0066690.841 0.0027 0.00227070.901 0.038 0.0342380.068 0.00046 0.00003128

0.35760248 MeV/decay

Beta Emission Products: Te-127AverageEnergy(Mev) Fraction

0.0782 0.01184 0.0009258880.2247 0.98789 0.221978883

0.14827 0.000267 3.95881E-05

B23 of B56

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L-003064, Rev.1, Attachment B

0.222944359 MeVldecay

Beta Emission Products: Te-127mAverage

Energy(Mev) Fraction0.2529 0.0182 0.00460278

0.020075 0.000113 2.26848E-060.004605048 MeVldecay

Beta Emission Products: Te-129Average

Energy(Mev) Fraction0.1141 0.0081 0.000924210.2149 0.00196 0.0004212040.3206 0.0023 0.00073738

0.35 0.086 0.03010,437 0.0052 0.0022724

0.5445 0.9 0.490050.074546 0.000565 4.21185E-05

0.524547312 MeV/decay

Beta Emission Products: Te-129mAverage

Energy(Mev) Fraction0.0555 0.00166 0.000092130.2948 0.0076 0.002240480.3083 0.033 0.01017390.6073 0.328 0.1991944

0.23254 0.000839 0.0001951010.211896011 MeVIdecay

Beta Emission Products: Te-131mAverage

Energy(Mev) Fraction0.0433 0.0056 0.000242480.0518 0.0031 0.000160580.0715 0.002 0.0001430.0733 0.0045 0.000329850.074 0.0095 0.000703

0.0913 0.0165 0.001506450.108 0.00341 0.00036828

0.1256 0.0227 0.002851120.129 0.054 0.006966

0.1362 0.369 0.05025780.1383 0.001 0.00013830.1557 0.0214 0.003331980.1648 0.166 0.0273568

0.169 0.015 0.0025350.2599 0.025 0.0064975

0.394 0.0022 0.00086680.502 0.0037 0.00185740.525 0.002 0.001050.97 0.038 0.03686

0.26913 0.001817 0.0004890090.144511349 MeV/decay

Beta Emission Products: Te-132Average

Energy(Mev) Fraction0.0594 1 0.0594

0.0594 MeVldecay

Beta Emission Products: Sr-89Average

Energy(Mev) Fraction0.583 0.99985 0.58291255

0.1876 0.00015 0.000028140.58294069 MeVldecay

Beta Emission Products: Sr-90Average

Energy(Mev) Fraction0.1958 1 0.1958

0.1958 MeV/decay

Beta Emission Products: Sr-91Average

Energy(Mev) Fraction0.1229 0.00231 0.0002838990.1488 0.0144 0.002142720.2009 0.0202 0.004058180.2343 0.00361 0.0008458230.3989 0.339 0.13522710.4134 0.0177 0.007317180.4445 0.00185 0.000822325

0.518 0.244 0.1263920.5705 0.00643 0.003668315

B24 of B56

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L-003064, Rev.1, Attachment B

0.8129 0.033 0.02682571.1212 0.308 0.3453296

0.11021 0.00127 0.0001399670.653052809 MeV/decay

Beta Emission Products: Sr-92AverageEnergy(Mev) Fraction

0.174 0.96 0.167040.345 0.003 0.0010350.371 0.0021 0.00077910.777 0.04 0.03108

0.1999341 MeV/decay

Beta Emission Products: Ba-139Average

Energy(Mev) Fraction0.2974 0.0032 0.00095168

0.837 0.22 0.184140.912 0.78 0.71136

0.30467 0.000617 0.0001879810.896639661 MeVldecay

Beta Emission Products: Ba-140AverageEnergy(Mev) Fraction

0.136 0.26 0.035360.177 0.102 0.0180540.306 0.044 0.0134640.34 0.37 0.1258

0.357 0.22 0.078540.271218 MeV/decay

Beta Emission Products: Co-58AverageEnergy(Mev) Fraction

0 MeVldecay

Beta Emission Products: Co-60Average

Energy(Mev) Fraction0.09579 1 0.09579

0.09579 MeV/decay

Beta Emission Products: Mo-99Average

Energy(Mev) Fraction0.0598 0.00113 0.0000675740.1042 0.00136 0.000141712

0.133 0.173 0.0230090.2896 0.0136 0.003938560.4427 0.827 0.3661129

0.18089 0.000578 0.0001045540.3933743

Beta Emission Products: Tc-99mAverage

Energy(Mev) Fraction0 MeV/decay

Bets Emission Products: Ru-103Average

Energy(Mev) Fraction0.0298 0.064 0.00190720.0632 0.9 0.056880.1438 0.00238 0.0003422440.2392 0.035 0.008372

0.038725 0.001023 3.96157E-050.06754106 MeVadecay

Beta Emission Products: Ru-105AverageEnergy(Mev) Fraction

0.0613 0.00108 0.0000662040.1308 0.0034 0.000444720.147 0.002 0.000294

0.1701 0.0132 0.002245320.1818 0.0447 0.008126460.1907 0.005 0.00095350.2311 0.00113 0.0002611430.3293 0.0522 0.017189460.3975 0.2 0.0795

0.406 0.181 0.0734860.4162 0.0029 0.001206980.4322 0.499 0.21566780.5768 0.005 0.002884

0.14031 0.00163 0.000228705

B25 of 856

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L-003064, Rev.1, Attachment B

0.402554292 MeVldecay

Beta Emission Products: Ru-106AverageEnergy(Mev) Fraction

0.01003 1 0.010030.01003 MeV/decay

Beta Emission Products: Rh-105AverageEnergy(Mev) Fraction

0.0699 0.197 0.01377030.0739 0.0522 0.003857580.1794 0.75 0.13455

0.033 0.000403 0.0000132990.152191179 MeV/decay

Beta Emission Products: Ce-141AverageEnergy(Mev) Fraction

0.1296 0.705 0.0913680.1807 0.295 0.0533065

0.1446745 MeV/decay

Beta Emission Products: Ce-143Average

Energy(Mev) Fraction0.0147 0.0038 0.000055860.0836 0.0051 0.000426360.1582 0.0142 0.00224644

0.175 0.0039 0.00068250.2374 0.121 0.02872540.3846 0.48 0.1846080.5075 0.38 0.19285

0.051705 0.00194 0.0001003080.409694868 MeVldecay

Beta Emission Products: Ce-144Average

Energy(Mev) Fraction0.0502 0.196 0.00983920.0661 0.047 0.00310670.0911 0.772 0.0703292

0.0832751 MeV/decay

Beta Emission Products: Np-239AverageEnergy(Mev) Fraction

0.0565 0.0196 0.00110740.0921 0.35 0.0322350.1112 0.071 0.00789520.1253 0.52 0.0651560.2178 0.04 0.008712

0.059819 0.000341 2.03983E-050.115125998 MeVIdecay

Beta Emission Products: Pu-238Average

Energy(Mev) Fraction0 MeV/decay

Beta Emission Products: Pu-239AverageEnergy(Mev) Fraction

0 MeV/decay

Beta Emission Products: Pu-240Average

Energy(Mev) Fraction0 MeVIdecay

Beta Emission Products: Pu-241Average

Energy(Mev) Fraction0.00523 0.99998 0.005229895

0.005229895 MeVldecay

Beta Emission Products: Y-90AverageEnergy(Mev) Fraction

0.9348 0.99989 0.9346971720.1865 0.000115 2.14475E-05

0.93471862 MeVldecay

Beta Emission Products: Y-91AverageEnergy(Mev) Fraction

B26 of B56

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L-003064, Rev.1, Attachment 6

0.0999 0.003 .0.00029970.6038 0.997 0.6019886

0.6022883 MeV/decay

Beta Emission Products: Y-92AverageEnergy(Mev) Fraction

0.278 0.001 0.0002780.48 0.065 0.0312

0.601 0.0024 0.00144240.7 0.0043 0.00301

0.869 0.0116 0.01008040.92 0.023 0.02116

1.123 0.034 0.0381821.563 0.857 1.339491

0.1834 0.000372 6.82248E-051.444912025 MeVldecay

Beta Emission Products: Y-93AverageEnergy(Mev) Fraction

0.132 0.00187 0.000246840.235 0.016 0.003760.535 0.00145 0.000775750.544 0.00377 0.002050880.555 0.00266 0.00147630.771 0.0251 0.01935211.087 0.046 0.0500021.214 0.902 1.095028

0.31046 0.001192 0.0003700681.173061938 MeVldecay

Beta Emission Products: Zr-95Average

Energy(Mev) Fraction0.1093 0.554 0.06055220.1204 0.437 0.0526148

0.327 0.0078 0.00255060.4054 0.001 0.0004054

0.116123 MeV/decay

Beta Emission Products: Zr-97Average

Energy(Mev) Fraction0.1243 0.0049 0.000609070.1753 0.055 0.00964150.3092 0.0188 0.005812960.3149 0.005 0.00157450.3554 0.0018 0.000639720.3994 0.0038 0.001517720.3996 0.0065 0.00259740.5172 0.0021 0.001086120.5283 0.044 0.02324520.7566 0.86 0.650676

0.69740019 MeV/decay

Beta Emission Products: Nb-95Average

Energy(Mev) Fraction0.04335 0.9997 0.0433369950.32195 0.0003 0.000096585

0.04343358 MeV/decay

Beta Emission Products: La-140AverageEnergy(Mev) Fraction

0.4382 0.0064 0.002804480.4411 0.1111 0.049006210.4435 0.0589 0.026122150.4582 0.0119 0.005452580.4653 0.0563 0.026196390.4874 0.445 0.2168930.5147 0.0508 0.026146760.6295 0.207 0.13030650.8462 0.052 0.0440024

0.32889 0.001615 0.0005311570.527461627 MeVldecay

Beta Emission Products: La-141Average

Energy(Mev) Fraction0.239 0.0012 0.00028680.373 0.0261 0.00973530.967 0.97 0.93799

0.12545 0.002618 0.0003284280.948340528 MeV/decay

B27 of B56

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L-003064, Rev.1, Attachment 8

Beta Emission Products: La-142AverageEnergy(Mev) Fraction

0.1433 0.015 0.00214950.1671 0.001 0.00016710.2127 0.0026 0.000553020.2626 0.0058 0.001523080.2635 0.0058 0.00152830.2796 0.012 0.00335520.2964 0.015 0.0044460.3042 0.043 0.01308060.3046 0.017 0.00517820.3619 0.0063 0.002279970.3661 0.018 0.00658980.3821 0.025 0.0095525

0.56 0.0136 0.0076160.673 0.0131 0.00881630.693 0.081 0.0561330.706 0.037 0.0261220.761 0.201 0.1529610.826 0.215 0.177590.841 0.02 0.016820.921 0.069 0.0635491.004 0.021 0.0210841.165 0.008 0.009321.219 0.03 0.036571.634 0.052 0.084968

1.91 0.07 0.13370.84565257 MeVIdecay

Beta Emission Products: Pr-143AverageEnergy(Mev) Fraction

0.3156 1 0.31560.0626 0 0

0.3156 MeVldecay

Beta Emission Products: Nd-147AverageEnergy(Mev) Fraction

0.0576 0.0222 0.001278720.1061 0.153 0.01623330.1199 0.0081 0.000971190.1467 0.0058 0.000850860.264 0.811 0.214104

0.0592 0.00066 0.0000390720.233477142 MeV/decay

Beta Emission Products: Am-241AverageEnergy(Mev) Fraction

0 MeV/decay

Beta Emission Products: Cm-242AverageEnergy(Mev) Fraction

0 MeV/decay

Beta Emission Products: Cm-244AverageEnergy(Mev) Fraction

0 MeVldecay

B28 of B56

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-,R. I.-B

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72 2 --3 3a a1E0 0 2 05 3-1 88E+4 -8E-0 5 5E

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15 2 1-13 I .4-a1 A A 2A S SS2E+AI ASA4E÷AS iSSESAS_ R6-3 5 1 -0E• a0 -2 1E-0 2-32E+0-.1E

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77 13 44 T 6E• -- I 4t5 3 M.E÷} I I•E0 OOE

I A K -Ap R.1,a1 Sarl I5.0 RRl S. Ell I- -0,0l R101 TOTAL TOTAL G55 SPhSIS)_ Gama (PIoA __ B PpISdIAS

S ASASAS Atvt n A iS•in SOStl• l ner n _ l IintASAegrate S~lryin Atvt inSS Aot55C5Etslo Am~o SAnS y per -Al Satd Ela OeSSA~pOShI.5ASOS 20 ~r A lSASSOA 2. SACSAo ll ESSAtto~h20 u SIASO Sr SAery -Alo ASOESI A0Sio S~[ n ASCAIS __

5755501- allSS AofSS AOSA, lOt-SS ES.S, -. SOS-Al

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a.. OO-O 1-3+515•+515E 1 93E+O 784El1 1 -4E14 4 03E-o1 I -E13

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5 r-1 7 2-E2 a• Do 2 E+

5 .r-.2 2 55aE-31 aO a2 4 017E+.

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1 2-EO 1,25E1- 3EO 2.72E+00 -6E-14 .. 4E., 1,13-+4

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9 77-+3 IT 1+03 - 1 30-0 -4E• -7E 2 33-•1 3 11-1

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579 a-140 1 721E-2 0 -00O2 s 019E- a 7DE0B0OMe

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Page 85: Calculation L-003-64, 'Suppression Pool pH Calculation for ... · Exelon Reviewer: 'f"7 , ... Documents List (ADL) for the associated Configuration Change'? Do the sources of inputs

LANNRn., A1, AIN 8I

AI Y ZAAA A MIANI AC A [ A ACG A Al A C A N N A

4 1 6E 2.03- 6 N 1 4 2 - 2 - 24 48 t 2 N 20 20 200 2 40 30 2 300 400 480 000 700 7 2044 E C 1 47 3 33E.08 75

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AN N 5A16+A4 N54NFNAN 1446+4 5 A 61ENAN1AAE+A 5 IA6E+7N 1 506+40 NANA323 NA -SEN INA AE+AN47÷661+6 1EO 0E0 13NENA 7 16AE+CNACAA+AIAIN68+AAANA6E+A7A3136A 7 A3NN6EAA7 N4N+AA0 AN55A -___

24 47NE+AN 4 AENAN 847E+45 N EANEN I ANA I 2 25-76 1 2 I-AN 12 506 1 I25 N 1,25 1 A06 1 2 5-+A6 I A51 2- 125I-A6 1A25E-NC 1 25E + 1-25- AN 1 I - N6 125E+A6 125I-625A IAA+AN 1 A78-A5 ANIENAN A 4ANNAN741065 1AENON IN4EA07NI5AE+A7ANNE+AA ANNENAY N 17ENAAA 41E+A74AAE +O7 NAC E+AI AAA E+AA 76NE+A 7 NAA6+A 7 140E E÷A I.IAE÷AN IAAN17 _26 N2-5 5A2-EN5 116-+40 2A4ANoN 641EAN+ 9A5NN- 11-A*7 1 9AE,07 2N-7 2 59660E07A -07 AN7 2 -7 21-7 A -07 A-A1E+AAA 2A9-+07 291-7 2A91AEA07 2A91E+07 2AN+727 5A46+ANNAAE+06 7O7AAAAEA7 691E+07 10- 1A+ 2 5_ 3I A+o AN A o4E+N A- N N A-E- 74E 7 -7E÷A, 6 N N AAA6NAN 8 AA6 E*N A>8E+4 08 7A÷ A08 7 59EA08 7,59-E82A 149E+06 1 56E+0o 3448- 7A4A6+ 0 2 13-IN 7 NAAE+A 7 4 32 +E.7 9 1.E+A7 -iN3E+N 1 A- ANE+AA A0A+A 8 3N74E+NA 444AN 54A08A N6-AA 10E6A+8 33E+08 I A1E÷09 1-1 5E09 117E-A9

AN 1.AA6AA5N1A7NAN05N36E+A 5 BNANA 5 24NE+AN 37N6+A6 N5A5ANAN 1NN6EA 7 AN6O+AA 2146+N 7 ANAE+NA N 3NA+A 7 44AE+A 7 N4A6+AA 67AE+A 7 N ILE+AA7 AA2E+A 7 1-A 8E+AN 1 35N6+AN 158E+A 8 I16AN+A 8

30 1.7E0-5 1 O7-05 437E- 5 B- E0 18E05 3EO 7EO 12E6 1-E0 38÷7 2 39E÷07 3 36E*07 449E+3 5=9+ 739E739+739E039E739÷733+733E7NIIANA

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NA• 1AAN+AN 1AAN4E06 2ANE+AN NAAA AA1÷6+39AA A N39A3 N+NNN+ANNE+04093EN6 NAN0639÷ N A9EO 3NNN÷AN N .93ENA AA6 33+AN 393÷AN 393E46+A NAN+AA6 N 90 AA 3E+AC 6AN+A NNE+AN I3ANE+ANNAN3F+ANAN3 10AN*A 3 IA7N+A ANN3A N3E• 51AE÷A 3 1E+A4 A2A7E+A4 3ANA÷AA E 3AN÷NN ANA6+AN4 AN E•5 5E+AN 5NAN1ANA+AN 5 NA6E+AN5 A09A+AN ANANNAN 4 A4N+AN NAAN+AN NAIE+AN 7A46+A 5 827E÷NN05476+4 5

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46 _4_E___ A 56+AAA+40 N NANI0A NANE+AN 344ENA 3 N53NE+AN 74 7÷319+426÷430EO438E0 7•0 5•76+03

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47 __ 14A6+AA N 4NENNA2 N6AE+0A ANE+AA 3NAENAA 4A16+AA AANANAA lIAN 14NN3A16E÷A A17N+4N ANANNAN ANNANNA NNAN+4N3 A2NANAN ANAN+AN 7NANEAN 87AN ÷03 INAN+A4 I NOENA I 51ENNA 1 56E46

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Page 86: Calculation L-003-64, 'Suppression Pool pH Calculation for ... · Exelon Reviewer: 'f"7 , ... Documents List (ADL) for the associated Configuration Change'? Do the sources of inputs

-3064. - 1 -- B

Cw AA A AS I AT I AU AAAIC A Z B B S C S F B C ' S I L 5I

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T = ($W21$41. I*X•$41!$-p1 =M1/ C1): M l•P(-C41.*1,:$.3-12]))+$4 tv $M41t41V *tEpI$4". f•+L4 IM4tC1'(-t-U4*A$32 ÷L4 SC121 S-XjC4*A$-2)÷L4 (Mt•4!1F•p • D$- *L4 •M1_2p•C1(E3* $4

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=G$56$• ) C5"Y -2) 41 ($5/C6' JP-$5*($-))$5 (M6'$C6) •(!$5"A$ -2 4 $-U M ÷$L 54:- 56$ 5)' 1-.r.-C6"(A$-2) ÷$L6 {M5/C 6 ' 124•4C6"A$32 ) ÷ L6SM _C I-.P $32 }} $L6=(MStC5 " 41p-$56 A$2 A

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Page 92: Calculation L-003-64, 'Suppression Pool pH Calculation for ... · Exelon Reviewer: 'f"7 , ... Documents List (ADL) for the associated Configuration Change'? Do the sources of inputs

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A30 05=8045 =70350$030 =AJ30=802 023S8022 =70301023 I=03803 42238805 005"$Q5 1<08102 0035=8038 =23850983 =2W338000 =0350$008 :Y35"80935$Q5 =2308385"$Q3500 000280083 1,A0835"$

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124_ "$4842 =A_ 42"$142 =007=8042 =01428032 =094100$2 =0L028O42 =-4221022 =-S2=$002 744=8002 =-22=004- =-44=8002 -.4280444=80.42 -Y42"002 =$448002 =-$0428222 =A2424= =0032=80423_L 43_041 =A243"$843 =A03"$043 4=3438043 =4A=2103 =42=33=840 T43$4=0 =039=043 =V40"008 =W48"$ 143 03"$1040 =043=8000 =743"$343 =A3-43"_041 =-1=303 =32=049=8039AC231

03 004500$ __ =7003'$442 ,A41$400 A4044$094 =700410$44 -=010380O44 =A424"$044 -=04043$4 =T7441044 414450O44 v414"$043 =72038043 =034849$4 1,01$044 4441"$144 =7024809Q4 =A44"$344 =A040842$48445"045 =035"048 =T481000 =038"8001 =048-8005 =048-8048 4351028 .045"$45 =245"$05 =040"008 =0408005 = _815 _$.

:A-7$47 =008801_ t 747"8O47 =0147"8031 =A47"$8037 =7048-8047 =014710047 __-2441<1047 =037=807 =748-8027 =338-8007 =0488001 =2048-8047 =047=88-47 =0488047 =748-$047 =•47100Q7 =A408-807 =038407

30 403$5044 =048-8324g =49=$O49 =A419=8040 =70490-8000 =0149=800 ___ =A400=8009 =04010049 =8499=8049 =t4980Q49 =049=$049 =2048-8099 =040"$040 =042"1009 44910~ AA9S49 =714200 40$4284 =003910049

_LI=01$051 =A0351 21 -51"51.3 :AJ51$51 =-K1$031 =A-3181.$1 -34511.01 =0511001 15$S01 =41=$021 =V518051 =W51=8051 =001"$451 =1"81-821 =T-1.11=$1 =70-1"$0 A1 - 11SW$51_L2 "00502 -31$053-52 $=052"$411 =-828$032 =41521$052 =-1521092 - 3=00.2082 412140 =352$-032 =0U2102.2 =55"$152 :W52"S02 "52 -082"8052 =752"$52 42221054 =70815-2"-2 =A 02"$.2_5031000 =70018042 .0I53"$03 =2253"034 =A0852"$ =01$1"0333 =00223032 4103140 =1<023052 4U1382Q3 =00310843 2083"083 ==Y3"$50 =7831053 =300*$53 =703"053 =003"$330 101AC533

:A54 "$003400 =•42"$500 I420O414 =2J54"$004 =05548$054 =01541054 ___=A0422100 -54948004 -1<54"$004 J4"$0414 :V4104104 =234104 =X404$054 =354"$054 =Z4048<4 =7004"$004 =A854"$04545I=A048054

:A55 "$00155 =70055"05 4-I55"$<55 =A5"03214 721 = 0401$09 =A 5 "$O55 =A0030$020 41581080 =1<581585 4150101<5 =V85"$55 0W50"1055 0X5588-55 45510585 .205"$Q05 =7005"$000 =055-$051 40A508055

5A5.07"$O57 __ =A.7"$5807 :AI58"S057 .0.01500$7 =4051<$507 =048-"8051 =0088-8057 40=809"$7 =1<01<0081 418780Q57 =057"0037 =W57"S7 =X57*$Q57< 4Y528081< 40780057 =.007"8007 =00057=8081 .0001<001<

,G"$59 .0085 =015S0'$0500 A59=$800 ~ gsog =K5"O9 =AL085050800 .29808sg =009"=$000 -49=8059 =1<50=8090 =0898029 =089"$059 •59"050 408-88-50 .ys0$059 43081309g =02008053 =A259$009 =AC003$000

2 AG0 _ $_020 _ .A•0"$0100 =Al0"$600 =22080960 =.700"$000 =A0187$000 40200S700 =$000040 =T7001000 -41301090 =V020$60 •V0900800 =420=8030 1<30"$000 43608000 =.A0000100 =A4000109 =AC0"60003

45=A081=800 4221=A 7'081 =Al010"$01 =2201=$O91 =4061"$001 4461 "$001 =AM601=$O1 =70110961 =T1"$1801 4J10=801 =V01"$09I 450501"I 49618101 .301"$09I ,Z71$001 =A401"$001 =A01"$091 I=AC0671 "$ __1

34A402"$302 =31,00-8002 0-I6"$O4 =At22"$=O02 =7092=8002 =4L000$702 =7082=$002 =302=8092 =1<02"8092 3002=8092 =002$Q2=094 62002=02 =092=8092 =1<04=8702 44=Z02$2 =4062=8002 =B2028092 =0012=8092

41A= 3"$=870 .01,908704 =A101"$O03 =413=8003 =7003=8704 41003"$O4 28=840"O6 I=003"$03 =T1<3"$093 .003"$094 41008004 =2043=$804 =49081<94 .04480943 .74=8090 =404=8003 =A203"$093 =00031000

=S=UM440 =7914 10104 00409 .001 4) =0003=58BI40 =1202140B• •=803104 BL 6081005,4) .00010 BN4) =S044=80BO42 =401B5 P40 =SUM4=80BQ42 =1<04R5140 A =78415 S40 =7054109T41 490104M=0914-A..80D5 5 =250 =0-8888804 G4 5 w

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Page 95: Calculation L-003-64, 'Suppression Pool pH Calculation for ... · Exelon Reviewer: 'f"7 , ... Documents List (ADL) for the associated Configuration Change'? Do the sources of inputs

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Page 97: Calculation L-003-64, 'Suppression Pool pH Calculation for ... · Exelon Reviewer: 'f"7 , ... Documents List (ADL) for the associated Configuration Change'? Do the sources of inputs

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BA13~l B-0 18- .1A1 A.BE-. ABABI BAB - ~l E I.EUAEB ABEB ABEi B-B -i A WE -E-I AAUB B - 3II BlU -I BE - B ýl-i AE1 35fE BAA-IAi BBIEBA B3BWEE -BA7 A2 BBEBB AEAE ' 1773. -BB IBAB BUAtA UBB 1 50E-i I4 M-B-BB E-IB - 511-8-I B5IEl IIEB~~KBB.B -BA 11-8I BIEI 51B-18 tBlA-lB 5 BBE-BaB5-BBE-BB 1 B 1B-1.B-BBE-BA

BA-BAEB B 1,A17BE-A BE-B ABEB ABEB~BEBIAB IAE--BE AB- B 361E-A BAB-BA 5 B BAEBE BB-B ABB-BE I.1ABBE-B ABE-BE ABBE-BE 1 AB-BE BBEBBB ~ ~ 1 BBA 114E1A E-it --18AB-A BB IBAEBAlB-AtiAIA AB-A BEI BB-At-EB ABBI AB-A BBEABBBEI BE-AWE-t EBEB BEBBBBBAB AB-BBBEB BEA B-BE-l ANI-i 49BAc~l AB IA-AB-B AAB UBIt ` A- BAA*,-it BBI EB -I B-It EBBA ABAB 2A 18~i 57t-18 BABE-AS AUB-B B-AAi ABEA BlU-i A1 BE1 l B -I ABBE-I E4 Ai BABE-BA 1.1-21t ll.-2I BUEA lBCA <U BE-BA ~ -2EI BAB

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16 100.1 140.192-40.19461016 040.4 100.2 166.20920.9109.221-20.201200.221 90~ 1320020 143E20+414026 4043E+9.2 200.... 14E2002 1902.20 14E20,0 -002

17 32016 664 1880 1•6240016 1 B0719 4674192 426014 2 70.14 73E

14 4 140 2420 4400E- 23 040 20 7 62.20 1E1 10-21 E20+ 2 21 21 9E20'21 40E021 36 0C21 400 .+ 21

20 900.1 1-00.192-22.19 620.9 120.29100020 2220.0374.24410.2 4440 120 220.0 600.20552224 640.2662020540.20531022 0512222061221 010.00 500.2

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3 T-I27 1008600000 3P 0086. =F 16355g -______P-C__ 5_ _ R."0D113'0 21C 1E •2 1V N IF 5" 1- S l 5C0 3'011'5 30274 080•61547 85020 7) 3500 0f13"3559) =010317"EAPI-C17"A 52 ;=I17"D7 '02*IT2'A)')I-EAp A05 10)'05"C13+14

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381923 30 5786430355 42 3 0 )f33 34586860 = 015'3550 G5 D5" 0413100-312 03 57I=•25"1P314 3'30'AlC252• "(1-EpAPI- S"C5)(035"25131)35-139) 30528710 18334000 2 o33 17878636 005363539 0G200• 26"FOP( -326 005) I=10A326 0A60I 335"C 326^)1-EXP)-A 5"C23)105"C201))

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04-134 30A50873818128 4363 _________ 30 13833343 = 0030"335)=3 •_____________________ D40325~p;300-300 5) =( G322 36/0210 3386=22llE3pI 5"C36(0 5 " C33340))0 5-143 3O103405460532424 0 [3O05 271386000 = 037"3550 ___________________ =433037000-327305) = 33327" 35.CA^2 *1PAP -0C30210 5-C3731

30-l0 0040074015403145 414 4 30345 14305014=I3"3 ==O 3053)___• D38"_________________ 38 •20 2- 0 533 !=2 023A4P238y5"385422)1-EpAP2A335"3)*0 5"C38'1)

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5u205 15491127B40753-0550 _______ _ 3 38645 10573860 = 00430340 _______________________ 0G3y333600P-333*05) i=220733537D3)05"C43^)21-P-3.p• C3 )'033 5332431))

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Pr-204 3312G1407520003384_______ 3 44003 302200 = 3332305 ____________________ =040230'•p460 0 -335 ___________ =320033080 35'343=22)'21-EPAP- 044"740383'0"4)) 1 ____)

P2-342 32490737325 g8423 0 3 0803 1542330 =0F53"3540 =042D301600 -3414S) ,=I530023/02 35301=2 .'1-•pAP -0C53'02 553330.1

P2-241 I 01 12273(75 7E042 7 0 034033 31304g00 =2056"3540 ______________________ -=4350"5"00X(-3434"_ ) 10433D5)/003 5"350=2))')1-pA(-A0 5"35)0'305"5612))

7-522 (43864204 0205373 4-09 3 (4002 (23934033 f F_7_35_ _ =7"D57" 0253540 5______G57_D57___5__C57_________p___ =05"C570400-08C57÷ ___) ___

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=Glg'E7)-c177644114E7)-1 5"416) =4AGg'K•5"1.2LYI 5C••)•.JX-1"Igtf(1 5Ct91 i= 10+0)0344704-4~( 200 5)00003E)•I1 54C0) 020'xI 5"2=.2•15C0•1'1X•15C0){ "2*11 :2060207a(63l42- 5)0-) .1 6433f___

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o 303040)p(7c3)"025) 030E)•(15"C30) 1(fG00 )•(0 5 "O1133) 0221645"30" )• 4L!,•I35"CI.542030)• =1390K30 06J3130"79(3•33 LI)059535

=G1 '"74p(741"05 4714)3 IFOI5)1546) =______ G3143 EP!064"31 06'1 !1 54631 ^16141 -X•I5473 116 531') 26 1031 .K•=J•+-31'061P0 C-11 I5) 0 126564036030=0G037)4p 320 5)463660-1p15"432) =______ (0366EP(03 054C526'0001 50312 21501EX•1 5400' 154C32+1 =135,K32 =J2'476H327 -435" I) 006436060103563=003030)403"05 066 31")15"C33) =______ G0360•(0 054C370'33(15"36•2 )'1547XPS 41 5"•'1 5463,+1 660.10063 =33+'07*660 C'-416 IS) 7521000111

0G335"3 E43P 3-C 1637374 4 *356) ___ " E__ P379 003 5*0635 )) 06353f 4I79))): 0X3-EX 4(535)) 6470')))• =135÷K5 =J3516637)35E c35" 57 0 0770306066760=0300XP.3•0)47 340003)f43)_____ 376"E007.0645"303537)154C30

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=$F$303N'30=$FS•3N13

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I••:PZ •1*($32Vh!Ž+$L13 -)$Mlt3-__330)1,E 7)-$C3"t2$3-217 __$L _ 3 ._$M327 C 137)')1-E3P)-$C337')3 3-2)))'+0 1 3 _3=$L__ _ __ _ -14 __ __ _ .331/$C433y0 -.0 p -0C4l (U$3-2)3 $L14 3$M39()C1403)(1E (-C4 "(V3-2 ))+.•t 4 __ _ 1.3404C14))I-0XF0I•$C14"(W2)))3$31 4 -_ M4$C4"1_X_$14 $ ÷$1 3.$M334f$C!4) 01 09P( $ 14"(y$3 2)}_$L1 =(•1432&t 4)f(i,?F3p12,$ C L013-2_))÷$L 4)0$M1415C)3(.-•P. $C1to A3 -2)0b)}$L14

11=$L21____ '1M21)53111'1-03 - 21 *U3 -2)1.1$L1 03$M1/$2•17 11 I 0p0-331 33-2 2 311+L1 = 3$0)1 3))21-03 -031)( $C 21".W31)$2 33$)•C1) 31 *1-COP -$321' -$32 .)*$I2 15M1)0311 )I1-3)33)-O311')Y$3-2)3 '$111 (MliO/C21 )*1 030 03121 233-2 )+Lii =)5M2115C11"11-EXP(-C2 ll' A$3-03) 211÷L2

13=__ _ _ F_ _ _ 27 __ _ 3032137!C27df')1-EXP)-$ 2')33-2)3113SL7 )M27o)27310f1_00-EX 312C'.V3-2)))'+$L23 3.0$M27/$317)'(1-EXP0)-0 "•t314 12)1Ž÷$L7 3.$M27.5 27 )') 1 -33 P-$C27*)3-23)111$ 27 ( -)M1332)-27$ 27! 1 -E3P31$27")3y3-2)3.31$L,?.7 3($12/3127)* I 030)( -$ 7*Z3-2 0) ))' 11 0)7=(M27/$C)')11-E30) .$C27" AA$3-2)} $L17

17=$_______ 317_____ 00$231)$3)7')-020P -3311' U3032'0)o)$ 00$317$C31 1 -03p)-$331"'3.0-2))'÷$31 ____ 'M14317t-$31 00-3XP.$317' 233-2 11)+L1 =0)31$ 0'I-03 -330' 03-2 .0117 003)1SC33)7 1-03P0-3317303-2.01$7 0•$32114317 1-P-$33'0 0 311 2372.0$1 )0$M)731715 )-31 0) EP-$317')033-2)))'S31=13) : $ 32'C3)- 3 XIt 3100u$ -2'1 )0'M12 &$3315)3 1" -F30P-$33)0)33-231 1$32 0!S32 3 2) 313 1-3 -Ep C 13' •n3-2,1 -+ .32 )= 3 M32)S32 "13-E0 p•$3)433-21)+$ '011 00) M3)3 $21"fI-00P- $3231(y3-2) 'S311 3IS321$C33)3 1330 .$31"Z3 2)!$2 $M2532 '13 jj01)3)O')-03P)-$C323')3 $3-2)3'+$L32

1=$L33 ___$_33__$ 33)21 I-0 ($3 310U3 3241)0$3 ) $3312)C3 103 0 ( -EX($33"2'C$3-2)'))$33 = Ml310'33 -03 -EXP-333" -21)I+L3 =IS32)S33)2'l -33p-$33)0'33-2)'}113 =f$M30C313 1.EP-0 $C-3310)33-2 !))$311 I1043/C3)0 103 310'-$ 23 2'$3 12/+$3 001$M3315 0'3)*-E0P0-$3312'AA3-2 '01103

21-________I____ 5___ =($1 32214321))I - $20 C32)')U3-2)))' 22) MOI)35C32))( E1030 $321'3.33-2)J)) [315 I 2 =.M5C3211).1-0 .3 "(2W'•3-2)))' 221 - 3.M302)C3 ) $)1 30[ X321 -2!)))'$2215 - 21)3E$321) )1-EXP0$32"1333-2)2: 2215 J•MO)321)$C 35 ) 2))00-XP$ 35*32])$L35) =)$ S/322 ) 321)-03P)-9:$F35 zA3-2))Y+$h___

2F_39 ;222 M39t$C~g •' { 1 + EXP!.$C~g '(U$.2 __) +$L39 =3333322$C 39 0)f I -EXP•-$C322" 3..'122)) +$ 9 '0M239 C322)')1- 30.-p322390W$ 30- 2)1))*L22 -f$ M394 5C39)'14 I1 ~p(- X27 239 )$30$230 2) 1-0 )-3329")y3-2}))) 39='22Ep -)0M224322)11 330 "3322) 0 -2 )11*.32 =)M39 - 302'3-03" 3-2)3÷$L323$L4' 8$M4 302-2342 $1.1-022P-0$23')3U$-2))33L43 -) ,4823)3323))1 -FO)-33.C48"333.3 -2 ____ , $242)1Ž $3 -2) ' 8 - EŽp10 -3323')200-2)L42 )0M230$C3)'3.)3 ( 433 2) $13-2:)2032L'82• 3 $2 423')" 1E - A32)) ? +._402=$L52___________ F _____________ _ 3M2)0C3.20'l-.X0 -0322"333-2 'X322ý4 03323302)1 -33243 224 _$L52 -002423' 1- -3304 C203-2.0222 P=2,2)332' .$ -30-33-2) '322$L•2 0S2$05231-3l 0 -3320' 3-2.3L233 3M224r22 1030 032 7032" 3234 )+3M523323 00 33A24 2003-2)))'+220

21053 =1 P$20,351-0 I. 233 -2)'2235 000)32 133 0 3353" 2)1)0225 20)3325' 1 E p 5 3-2.22' L =05 3253 0 - 3257 3-2)]20 1 0 3 3 120 000C5 3 3 022032 23 0 320 1 030) 32 3332)) 23527$L5 _$5___5F ___E___$_52303= 23231-L70- 233C-2"'233 33230320210305323)3332 .3220 00 3201-00 20' 53-2'23$.M20,E323 $C5"C0-32 )÷35-2 '2335002-3323 P"030-)32I53$-C$'220I3223$323Z1-3000323=32N230=0"0)300 10 -05320033-21'L+$5

120 1 12 1 -__[_________ 3 ___12_ 02- ')1-0(1 33 -))'23 00234)103)323332))3112-_ )00020')-3)-33'23-3) 23 - 3.32)32Ž-00 3317 -))'03 )03)33)00)330)732))_23I 042)100)33) ):.03 IM)33))03) 2)2L-2)' 313 22 =0t0$2))33)j2'332.32012232)13)30302.10 )3242)'3 0-3300-).02 3242')00)32'332).13 102130 100-30'312)'22 132430100001021-33 3,)30 )00)32 -0-))32

32 __ _ __ __ _ _ 13 _ __-3.3)1.9~~337fl.3.1 0M0339)Ii.0 §333.1L~2 M30.~X1Ž)302.3i12l:0• - .3.43l~i31313-)t(3 02030 )-)1)33)3721110 034113) 030331232))022 = 332320) 00030)30-2)'330) Ll. M i_ 33 0103 10033) 3- 03 3343)10033 32 03 0)31 -3-31 -. 21 =OM)C1'-3-33022'2103)31 00303-).110343 3 3120 '21 M 133)3 3133-133321 _____ .20____ 0 3'-3 2 -2L 5 222~ 2022) 372$L 10033332 01335 2)32 -340' 32 .22 MO32-0 0' 3- 3 3 0 -3 30'33 20 043 1030fXLC 02 L 53' 3 3 3 ) 3 2 53 3233 -

33 _ _ _ _ _ _ _ 3 3 0 0- 00L 2 0 - 1 3 3 3 3 ) ) - 3 ) 3 2 . 2 ) 1 3 0 3 3 3 0 1 3 4 0 ' 0 - '2 2).W J A L M 3 3 - 0 3 3 3 0 -2 ' 2 0 0 3 3 2 1 0 0- 3 0 7 3 2 ' 2 2 3 3 1 0 2 2 ' 3 0 3 3 3 0 3 3- ) 302 ______ = 0232100 23 -2)LO 3203033 0 )3 2 ).3333 L 023010 -3 2' 32$ .02 =MXU3'-2-3' -2)'23 0033 33)100)33'33-)32 0343 13 33212 =23)32 130 3223 -2)30

33 _________ ________ ) 3 30)1.3.30- 0)3 2)).110 $M- 1 732)33)'))(30 -(3C1'3V$3-23))) 3017 3...0- 3.32)'27 = M03 ______ 203 L03 332), )1.1?)S,3T NN.) -ý 0435103) 30) 7)103 1 M3 30) 03)30(.3-3__ __ __ __ __ _ 33M3111132310))1__ j

0 3 tOffi3OJ)13.

3 )) 33 J002)93 (1-33-7333-2))'13 3.M11L 173.3.$12m:$17 33,32)30J03)3-3g0 '1f2030)h3033 I23 C17~o 3334311031332$3-)1170

37 317 .03223yf-0P)333--3..527~ )1033 032333)')-00)C33.333321

22 =0331)33)'1-23)S37)33-)1322 1333C7-((111W0)132)h'0)1 i7LIB11 XP)'307 )30743f))031 333.3329L'1303 ~ ~ ~ ~ ~ l -_____'23 33,33'-0030'302'32 0430) 103 332.32))) 32 32033'4- 30' 32 32 Y-)423130 3023- 030 330-1100803 732'00 0303)10030332 '22 32343 I00334303- 30

30 _________ 22 = 214 3 X2 3':" 3 2 -(-( 23 3 30 33 02 332 02032'C003233- 32 M2 '-3032C-1320 03'33 -3233)3-103 10332 10033D '0 32 2I00 3 23- 002 - 10 030020'10 -32' 3-2'02 03333 03 04' 3- 310 302430'133-32' -2'10 - .033020'-00-3033- '20 t3C2 -0022373- 313 23020 103 t'2232312 = 32234 I03 oo3-3-2'32

02 ~ ~ ~ ~ ~ ~ ~ -$"C ____ ___ 020___33 3 3 2

l3

1)3 2

33 2

.5 0

033210032339332 M223223.13.)3.3323.)33-231.A13 -3 3.M222'.3002'3321'02 33)92 219 322 '3 3 0

I3

L2

13 323323 ____________'320 ____- 023032fl10)333333-)1L314 1~2399)~ 00 AŽ3.3A3'~~ ~ .12)~13.- 30333331Ž1030-331233-ISW223 .12r24321)1.3EX32)IF2.)1E33 33032X1)V0)I03.23.3.322F 32 .M3,Ž)11.1333Ž)h9 _ 0243.!33133.311.32 =

32430)T)3)O323)$-3O22 - -303.34fk00)333.23322 3-0211't3-039 30023200 34!-..'17 3o44)).)23 23-))30

_________...... C21____ _____ 132 30330 3 -. 03 0043103-35 3-.14 3732 03 25 0-)015 02032 303223.1-3-3013 32 03213220_______I ______ 20_____ )32'-3 3 -. 10 . -30030. 2) 2 33037-00330 3023 = 3-30-32 2 32 33423103-32)332 '10 300433 10 0222 2 6 030 22230 0 -2'2

07 _______ _______ .0.3 ..___ .334213 - M230- '0140 3032432 "0002 " '37 02702'10"3303"337 =03427 02"332'17 3730 -00to730 34 3373713 22 0- 3273$)37 0027320- 3420 ~ ~ ~ ~ ~ $2 _______ _______330,34 -03 ' 2 25j3-2 '3123 332041033 I 030 324 2 3122 234443-3 -33' 0 '3220 41.0"24330 132-020 332 310 33,0201-2.2473- 020 020030 30 334 03'320222)3 203 20 3-2'3230 _ ___ _ 1 ___ __ 322 .M-f1k))71-T33 t0

02 10

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3=P((

2±3.3A.320 W1T~.)31313'~~12 .1)134)1-300230-)134 3O)1..L)933.2 303032)3)0322132)'32 132330330 2.)032)3

00 ,__ _ _,a ______ 01A z___ -ý- 3037053)-3)32(322)03 3.00304>3)0139.f)30 003)Q3030'3(30..5 .040S 1' CM.3 )-0333C3OLW3 0334 O3333352113r. 373.3.O2My3.'312)k 0200450903(M323232")3.3103 U035COT XP(L3A-42fl

_______ ~ ~ ~ 2 '__ _ '33 _ __-332 143)3 $2j31'.32 fr1 (M32 .3T103)3!.'(V. 23.±315 IPM 03343f).)333-ff32333 1413.l303)3 $r30 1 $.3243141$ )702 1 M,73-33.2 301.2 2)3351)+03010331) 3 2j))-$-2 )30033331 )_33)2)C-232)0.I_ _ _ _ _ _E 0 3 3 3 3 2 '0 3 2 2 0 0w4 3 1 0 0 0 3 M ;-)3 33 7 0 3 3 - 0 0 3' 3 2 ' 3 0 = 3 0 3 3 0 - 0 0 3 3 -.. 3 33 3 ) 0 0 3 3 0 7 3 - 3 0 3 0 3 3 3 3 3 7 2 2 - 033 3 ) 3 3 ) 0 - 0 3 2

33 ______ =003)03-32_ -032 2_.32 0343 10003 3 313__ 3233010 33 - '13 - =33343--343'00- 02 033)3333033037.32 00)33 3 33 33 33 333)3313003Ll-3-))3305 _______C_) (07 3 3 13 3 0 2 32 '0310305 3 35 3 30 M 3 5IR33 3 - 33 P33335'- 3 - 3 5 3- 02 5 3 3 4 5 _- 3 573- 0 3 0 3 3 3 I0 33 3 0 '1 5 .3313_ 3 3 3 2 0- 3 5

02~~~~~~~ ____ ____t4__ '1331l•Ž.1-)'2! 10 0 3 0

t0 0 3 0

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7366 _ ~ ___ ___ _________ _________ __________ _________ _________ _________ _________

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-. - 1, - B

T,ý7T -($M-5j-(l EXP( -- ýA- 2ýp- fLSM C5)-(lEXPjIC5-(ý$32)))- M-5)'(l EXP($-(ý$3 2))),$L5 AG412jýjý.$1-5 2ý L5 -(A ý)))ý L

2I A AM .. =(IM6,$C6)-(- (tý -(- 2))),- ;ýW.VIIL EM75C7)'(l ý (I 71- 2)VIL7 (IM7-7Y(l EXP($C7-( I-- -(--7)-(l -(--(Al$3 2)))-$L7

_($-$Cý)'(1 U I.8:VBV 2)))-$. fý$MWBLLI -LWý(ADP:2&4L8 21)Ll$ AH$3 2V)_ýILAg iNWý) (I f(Im aqnLE- "S'1($-LAq$3,2))j,$B -a $-JAýý 2$)f)),$Ljý '(AD )ý)_q ))_9 l$$-l$C9r Pj $-(AH$ý))L$l-g o IMý

WLý _Ll ý

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1'21 ý($M- 12r(l EXP($C12'(AB$34 ))),$Ll 1 -($Ml VIC1 I )-(l EXP( I ýgý 2 nl-,, LAFt EXP( SC11'(-312 L j-($- $Cl2r(l EXP( $ClT(-3-2))jlSl-12 =($WWIC12r(l EXP( - (A-2))L-51-12- 2 -($M-C12)-(l EXP( IC1 (AGIll)j)-Il-12 . ......... ýC;21 NXEPý ý$EC; "1111"ll Lj2

-(sml- 3r(l- (ICl3-(ABI3 2 $1 Al $C13)'(i-EXP(-$CIT(AE$3.2))),ý13 13)-ý! IMPýýILCI §,S$2312ý41- A. 3 EIPPýIC ý:rH- ?M*$ý Iýlc EXP .13X IM Xpýý (ý$12)))- W( $- (AG-)))ý(A.. 2) (_t3 RL;ý .19. 4)kM $Cýý M

12. -XpisclnAWý -tmp(- )ý -_ L _1_EXPL!CLYLý$2,2)))lSL15 f(P-sclIal-

1ý -l- $Cl6al EXý($Cl1-(AC$3-2))) $L16 = c. 2 ýSD6 EXP(I 2ý)Ls- L I ýILLll -76_ _ _ I P 'V'$$j7 - I =(SM-C16)-(l-EXP($Cl6-(--($Ml7/$Cl7)'(l-ýP(-$Clý(AC$ý2)))-$LIT 7-ýýLA 2 -($W71$Cl7Y(l EXP(= $Ný)fi)ý=(W171E IT 17 I(AW 2

Cjýýj;ýE=(sMl&$Cl8)-(l-E 0 0 1" ),ILlI 4Eý.P$C 41ýEl;= SM Pj!$C'ý;r-1222ýýjl M -($Ml&$ClB)-(l IC-(Al-ffl-18

r. 7 (SMM213-)'H SM IM -- hXP($C2 EXP(W21*(Al-)))-22 =($- C22ý - (AM 2)))-$L:V ($M2.f $-ý(AE$3 21)T)402 .2 =($" $6 ANN'WT P(- ;; 3 2 ))-Il-2211 122 .22 ($- $=Y(l -(ý2T(Al$32)))- 2

L 211c .(AE 2ý1$"2ýW2 ýLl E 2, L)l A -1--l

Nl*ZL $12)))ý$-9- 4 '(ACS3.2 4$$.-2,3l,.lC623,*,l EXP,

$W $.4, $3 2 ý-ý4 1 2. 11 4 E C2 ý2ýIIL21l-- P( I25 -(IM-C25)-(l -f -5-(AB$3 2 1.11 X(I 'I -,- )- l =- - 5)-(-XP( ý 3ý2 -r(l EXP(-5-(AF53-2)))+IL25 I.YI ý1., (- I 2ý-($M--)ý(l -(IC26-(-3 2))) M2 C26)' - (I-I(AL-1 ':ý93 2ý-ýN' A IL-$3ý =L IIDSHHENRý 1'(-l 2))ý IMF19 M271S-r(l-EXP(

A- flýlt& IP 2 - Al ý)))-$1-28-($C29-(A- 2))F$L. =(---r(-W(-ltýdý(ý 2))F$LN ýAy 1 Np$C ýp OWIC WW$K2F))ý$1-29 3, S-11 m$3 2))F$E24 sm-scaq;Ci EXP(

El,$173 -$3 2)),*- ýIM.3-1 -n - Clq:L- 3 2 C3WLA- - 5- EIFAIC3 (AFSý2n)-30 - ý l=(SM313C31 ).(1- ( S 2)a)))-31 -($M3 -($C31-(AE13-2)))l$L31 -(SM311SC3l)-(l--(-SC31-(-3- )41-31

-(IM3- r(l 3- )-(l--(SC3T(-3 2)))- EXP(

ýIVW3 I EX- $133ý W 1,1),$Ll

-2)), :ILý33 -(IM-C33r(l 3j;j;ýý- C 3;r $53 H3' .3ýý:ýj E W 3 ýA

AEi3 11 FC.Q;1110-211C'11P SC. IM L.

-Im

ýII -C.1*ý!IV ARM N; Li.ý-35r(-P(IC35"(M$Qý;135

LACIý2&- ý(-,$C- 2 ýCL:36 ý(W36=36)-(- P(-SC36-(ý -12)ýJ.$- (Al$3 2))LS-31 i,(SM3,71,$,C31j,-,(Jl,.P C3ý71ýj EXPL- 1- AE 11, 1 ll= ,Al 3 Mý$- SM374W7 ;Rýý)j),S!-37 K37-(AI$3 2)))- 7EXPLI_ LL Bjý _L_ _L

31 1 ý(IM ýE- ',ýH R ILM -(- $C31Dl -($- 38)-(l $C31 1*3-_2 -1113 Cl L31 (A.Il 2)))-$1. (1.-$_:ý6 LNý _,fM3Q -(l -(SC39-(AGI3L39

ACRIflil.3.", AI.2,))-3 NI- I-ro

EXPf -01- 21 2 -2 -W(l -(- 0-(A-2)))-iF4O2 ý2jýýiF45 P( $C-(M$3 2))r;RL4N EIP( - (A113 2ffi-Ii-40'N 3--' 3L =`--"(1--($-(LZgl-3 _ ýL4 -(-(AG13

11 $M41 UEN 1 EXEPý $ERIM 2))1-11 =($.11-11-11 EM- -ý-3-2)ýjý L44 i M41- l)-(- P(-$-- 2ý;,L-241 -(- (AG13 2)))-$L41 -(- (M132)))-41 W Ll ýERXP L4T2 -D$qC2T(l -JIýý(AH53 3 2M ýSLQ $G4L(AFSL2)ý- INW2VSCQL(ýXPLý-,Vý(AGI3 2 -42 2K ))1--$ 42L$ý±3L

L- &cSL42 A. p ;rAl '5 1 L31$U3)ý L- L$C ý3(AM 2U) -41 f($- $CQýL1 -L $37P) $L43 321) I )JLEXPL$ýMý-(Alt'2))L$ýXil ýLIý3

T4 RjýPP 1ý$3 2)),)l$L" )1$- MiUý

ý, $$71a 4j A a = = L- Sýý )-$- PL$QA 3 2))L$- mý$.41$-rj- PL$.1(M$3-2)))(A 32 1 _('I ILEXPl$- (A- )),-$l-41 D$ 13ý2)))-41 ).$.I -($- (A- 2)ýrWl =($- $-)-(l--($- (-3 21 $ý I

.IL46 R, pwws 1 ý-L, 1 P. F', C $' (4- W-M-46 ý$L4; -EXPL- (-3 flý!U!4647 1- 1 1 1 11 A "7 ;ýýI- A. 4. -(-r(AE$3 2)1)-IL41 -(I-M. -7'(MI3 211)-47 ý7-(Al I- 111-,$L47

1. M 3ý2 .- )-(-XP(IC4ý 8 X w;ILIM4 IXP 2)))-48 M -I 21)).1-

!J,4942:LACI-JýLU49 qy(l 4:1 9L:[L INMEMW -tý- 14ýPL4ý _2 a-ýLiY L45 P(- 9-(A-2)))-$L49'ILI I - PL-SC5ýýAE$3 2D)-$L50 I L. -- g).- (IC-(Al$3 2))),$1LIO

11 4 511$C51Y(-P($C-(AB IM5,15C51) (I EXP AC$IJ2Dý$LI1 E)TL$c5l-(-$1 21)) 1 -(4 -(AEý2ýLIL51 1 EAP(4C5lýLAF$3-2)))-IB, 51;= 3ý$-Y(- P($C52-(AB IM5- )-(l-EXP(-jC5 LAC$Qjý4- EXý tC E, $CI,(. -P(-IC-(A-2))ýýUI2 I .... . AF 12 $12 FXP( IC52 3 ,p- ,

IC543 (ACý_ $ff3'MLF' 3' Xp -:ýA-Il =RMMMONRI W( 3-

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(IC56-(ACIý2)ý)-56 (A- 2))).U. -3 2)))--W7 AYEI3 2ft)ýý IP - 7- 1--(SC57-(N$3ý )L,

To -($- (AC$ý2)))ýWa -($M,".. wl" -(- 2)) 1- S-)- I-EXFý K58-(M$3--2)L.. =($- .. )'0--(-..' A-2)))ý$-

T2-

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L•, Rev •,•t B

5 = $MS/$156' 1-00p-$00' 24AJS3 ')SL5 = 595/SCS'( -FP/-SOSAOF3-2/)/+SL5 -(MS/SC5S*I-POP -CSOS'ALSS- 2)S+L5 ____ =($59 5CS *11 -Fp/-O $C5tA$3S ')SL$L ___ $MS_$_50/S S'i-I/ -X•SOS'AASS3-2S )'SL5 ____ ______

10 = S.104010•' /1-FP -$5015/2453-SO 'LlS ___ =(SOSIO/$CO' I-F/P -S010'/AOSO-S/'$L10 =___ $ 9109010 'lIEO•- SC 010" =2 'S$L1A =• SS C10S~lo '-E/0-5010' (ASS-A//)+SL/S ____ =/S$MlO/SO1O '(1 OP/-S$CA 109AN3- / 'S+LI

11 = , 1•C 190 l/'//-FAP/-$ 011' *AM/3-S2I'/$l ___ =($M/511$011 )'1-SOP(-$C O1"/AIK$3-2 Si}$L =$ 91190$11' IEOI -5011' 00A102 'S)I+$ = 9M911/9011/1-FOP -E 010-$C S 5*A$-2 'LI $L11 = SMS11/$11 '(1-E0p/-$C11'/(ON$3S2))'$L11 ___ _______

I2 =/$912 0C/2' 1-FOp -$ 012/(0J$3-2/' ÷LiS =15__ /M1S2 l/C )'/1-F2p -$O12'/AK/SS-S2)IAL1 =___ $MS12/SOIS' lIEOP 12 205032 'S+Li2 = $a912/$C12" 'IFO -SOp1-$ /0 2(A$S-2/))+SLI2 ___ $M /510/$C/ '/1-OOP/-$C1A'(N$3-2)})'/l12IS =SM 3t/$C13)'( l-EOp -$ 015"~' $-2/) 'IlS =($M13,5$013)/1-FOP -$012" 00$02 I÷$1 = $12t$13010'1-EPAP-$ 13'* 152 '/I 5//AL$-F P-01 3-2 '511L53 =_a _ 3=$C1910101E5 '1-FOP -SM3-2'/0+$20 -($M/3/$0lO" I-_X_ $C_3"_AN$ 2____$_1

17 '$M 17/$C17)'1 -FP( -$C17'/05$-2///+$L1I - $ 5517/$O17)*/1-EXP0 -SO17O(/0$502))/÷$17 =/5$M0517 'C 17"1-FOP/-SC1 7'(A13-2 / +SLI7 = $M 17/$C17/'/1 -E0p(/$S 17'(AM$3-S/)+$L17 :($ 5 517t$C I7}(-FOP -SooC17ISAN$ /))+$lO7

20 - SM206$20)' 1-0P($20/- O $S' ))JS $L// 4/A $M2_ 540520'* 1-000/-$C20'/2A.K$2/)/'$L25 = 9920 020 )'/1 -FEOP/-O -$ 20" 0 $-2/ I! 20 ___ $M /i20/$OAS/'i~i-FOPI- 0$25'/AM$3251-S//'L25 __ :($M2020/SO'I-FOXPI -$020' A 3.2 13- + '9020 _ _

21 =/$M221/5021/'*/1-00'(-$C21'IOJ$O-2))/+$L21 ___ $ '5521!$C21)'( i-EOI-SS1'/21* 0A/$/2))+$21 ____ $MS0 21/$ 1 '/1-EXP/-$C 0"1(AO$3-Si )} +$21 _ =9$21/$21//il-FCpi $C241'*25$3-2//)'$L21 :($M- /992521/$C21"(-EXP(-$C241'/(AN -2//)+$L21___ _____

7= $MXP$ XP 3$))4L23"N$2))$3

24~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~Xn =$2$211-P-$2"A$-))$4 =$M4$C4I 1-E -C2tA$-2) $24 =$M4$2 t1-EXPI Sg-$C4(L3-2k- (I- L4 =$M24tC2-al -E-P( -$C2L(m$32I$

22 =/$M2052/$C5'/1-EXP(-$025"/A/$3-2//)+$022 = OSM2 0$250*(-E1P-$C5"AJ$'-SO+$2 =M2J 25'-EP-25IL3 52)÷L5 ={M5'C5'!EP-$2"A$-)I$2 l=/$900405A/'/I-XP/-5$ 2'255"(N31!)$2-5/'/2

23 =/$M26C20S6f/'-90-OO/JS2f[L1___-S2O§/f4/S'//022/'L/___o!!OOS'1-EXP(-$C26'ZAJ$3-2}))+$_26 =2SM26/$O21/'/1-EXPS-22'2699AK$3-2L2S __26 = SM0SC2S"0-ESP-C2'/A$l-iz÷FC6 PSM-SO22*S-'//-C262A$3-2)I+$/'SL2I 26_C26"__EX__$C6"(N$3!!)_L2

AS $M22O$S080' 1-SOP -$OSO'/AJ$S-S //÷$L20 =__ M28/S$5241503(I-FOp -1020' 2013-2/) '$L228 =592$20)'501-E02' -9022' 2090-2/ '9/22 =($9244004' *1-E00(-$C28"/A93-2 ')$022 = $92200$24}( '/-FP(-$C32'//555-N$ /'52S ))÷$______2__

32 =/$M321/$021/'1-F09/-S055' L(AS3- ')$0321 =$M__ 32201025 '/1-FOP -OS a-$3* A '$0-/I•3 IM253)!-~ (c2(L321 =÷$ 1920M320212 'I-FOE12XLOA '02 9505'IFP(-9020' 000922 ')$0320 __ =/$M320$C32/' 1-FOPI-$OO'32S(AN3-S/SS2 5 ____+$L32_____

AS =$920 0203 '/1-FOXPl-$C20' AJ$-2 //'$L23 =($__ M32S20350 " 1 -FO p -SOS3' 2450-2/ 5 } $ =$ M929/.02 '/ {1 -FOP p-SO33' (ALSO-A2 4029 $ ___ 12002 FOM3$33*1EP -$02033 /S-{ A llM $ 0-20} = $9992$C33020 '/-O/-S 5'PA-$C3 -"//N'0026)$3

29 -'/M92P$C21'1-.PSp/-Oi'/C 4505AJ /352 1 ) ___.3 =($M200024'l1-FOP(-1020'/A/S3-2 I 'SLAP34 __ /59M215/ 34AO !1-P -$21 p!C4 AL$O-23 '$2 7 __+ __34 =$M2P/S0A "1 EXIFS $CSP'/tAM $3-2 //'$L 2 =($3453492 1 1 OO XP/'lF2/$OA'C 3 $"AN$3 '923))*$L3

32 =02•32/$392/' 1-FO~p/-$C9052'A/ -S/02 2 _+$L9 /!M990$C39 'I-FOp -$032' AK$3-25)'+/02 = SSS39/5C32'l-FO -X($032' ALSOA3 1/2 _)+$L3 =(M9900S32 ! FOPI $03'329*M$2-2 '$0329 __ =14M900 5239 I-FXP -$032/OSN$3-2//'+LSA ___ _______

33 '1$930J/214 '/1-FOP/-SC01S'A/$32S /$403 _ __ =/99309$033 ' l-FOp/-$C090'AK$3-S))/+$L00 = $934033 '1*I-FOXP( -$039'(LA S '03 9 _))÷$L4 990M09$C032 1020P $402 IM3'0 2-A '}$4031 _ _ 5930S03$C0 '//-F20 -$O40'/AN$3-A// /3))+$L40_______

/2 '/ $M4 02/$C4/*(-FXP -$C42'/AJ$S-2)/)$432 =___ /9$ 0 02/'2) -1P- 90p9c2' 20K$2-S '1)}÷L42 =___ ($M42t$42) 'I(-FO 403 0010; 2 '(, $ 03 2)$42 __ i$MA1245032)1 /FP( $0420'(ASIS- '}i$092 = $992'5092 '(1-00/ E 32'/.$C N$3-A/))'$L34 ___ _____

35 '/ 425/ CS0/'1-E00/-$4'S"'/O -23/1$L45 _ _ =/S3S4O5/5'/i(-FOPj 095'/A1$93-A//I$L35 =_$M5__ '• E_____$ /)+$45 ;$9303029/'/1 FOP 535'$ 2 3S/(I/'9)+L4-5 _ =/$9295/2S'1 P-/$505 SA ///2))$4/5 _ _ _ _ _ _

37 =($M4197S/'71"-EXPI-$03A'/AJ$02/'/3-2)))+$L4 =/$547t$03T/'/1-FO/p/-SO$'/700A 3-2)//+$L4713 __ =/5M347 3//I, 0/53'$C7"1Ep C7/00AL$ /'203)+$L47 /($M4705047)/1 02p/ $O0S'/M$2 )))-S/+$L47___ =/$M347/$C470//-ESp/-$2470/ANS3-2/)/+$LIS47 _ _______

00 = $4939/ 39'(1-FOP -C90 (J33'/9-2 'S÷L49____ =(M9t4933S0 'i1-FOP -$009' 0243-A //'$L349 ___ '($93215039*( '1-FP(;4032' 003-0/)'}3)+$L49 =M930C90*12 /1020 $002'(AJA$A2)/'S3+$L49 _ ='$M935/9032'h OP- 9033'$099"(N3-2 'O+LS

SI = /959201 52*t1-E ' ( l -FO/5241' J13 -2) /0003 $t.52 =/$9121/C/2)*1 ' p i-FP/524I'/A53-S ')$041 =($M52/$C521"$(I'1- -EX!$0521' 0L$-2/'.1 ___$L5 _ /931$ //515C AP2 9241 '/09.$ 5 04'AM$ 3.2)•L• =$5 2'1 ' 921 X2/IFP(-21 0963-(A /$32/'5L51

43 = 25 C51I-EX/P/-$CS A$-2049 _$_53 /9$534$C54*/ /iF p/-$C53'/AK$502)÷$L53 ={$M5993423/ /I5 FO-EPI-$243"120$3-2///'$L53 __ /3920903//$153) 0/- S43 .$C 53"AM -2///'$023 =__ /SA53I5C53 /'/I-FOP/-$C53"(AN$02)})+$L533 _ _ ____

54=/$ O¶95/4/•//Sr/$C4 4/ X ! $C 4"(A /321)÷$L4± _ = 9 0

S0

4$CF4'1-Epo$9 S,4"4AK$3-2lIL'$549 __ =/$9

54A9C54}*/1-/p07 54*SL'320

90

01/ L 54OO ___ /9925490353/1 FOpl $244*/0AM$02///'$542 _ 49SM0/$054/)4O-F•p•5 4*fl AN$3-2/4/1 ___ $L54__

55 '9$523 C54249 1-O -3246'55"0293-2 '1/S+$ __55 99229,3245*I FP-21 ' 2p09025" '$02)}+L5 _ __ =$9450245S /1020/9/25/IL320102 SL55 =__ $__ 590 45/$C5"1 024/9245C55IAM$3 '52 0 _$155 =$945105/55/I(-FOP -$5/5' 0993-S '+5L55

4_7 •$5/$572044 1 EI-FOP-C5P'7* 93A ///'SL3P57 __ =$9334247)1 FOp -123 313-/$L57 -____ /9275 7 /$ 192 $-S40 AL$2060 '$23_57 __ /992/157/$ /E1-E20 $c57'/AAM$02//'SS ) _$L57 /$M4P$ 57P '1-FOP(-$257' 0N99-S //'SL5

40 244/I-SAP -X 32 02 1/+$LAS =($M589934240192P-5043'K$02))l $039 =_$2408424 1ES -9040'/201-2'L29 __ $MS92/$25 I FOp(2$ 09A02/ '9/53 /9$M502 'I1-FOP -924$' 0953-2)/)'90494S /3I // 4/''I6• F/ /5 /P -62525//12- -11 =3 02 I'I - ' 9 - /49009092/ 1 P / 1 /- "1 ,53 33 -2' 243-S2 '0 71_ /930 I FOP- .'2$ % /930 /0 9 0A/'LSS =_ 01/ / O

92 '052092'I-FP -092'249-2 '092____ $92402 iFP-S92'0450 904 992402 130-292'205-2'SSO 9921092/ FP 902 0902 092 $991909' IFOP 900099-A 'L92___9 5 ' 9 0 0 5 / 0 9 5 ' 2 3 0 9 0 5 _ _ _ 4 9 0 0 3 I FP3$ 3 ' 2 9 0 $ 22 )_ _ 9 9 0 3 0 5 9 0 2)-l55 _ _ _ 9 5 9 5 9 7 9 5 9 0 2 ' / 5 _ _ _ 9 5 5 9 'l F P - 0 9'39 - 1 0 9 _ _ _ _ _ _ _ _ _ __=NR -r-P-`(-)) =(--) 999092/ P(-$/4//z -$09/ -l//SS ___j929) 1FP/594/$9f//520__ 20391/4/P 09 OSAJS/O__ Si40$ThA479'/40A1/7S __ __17 '/9I54C5P/00y'/4/4/P/$-SCP/49////$ ___/S94I7

10P/S',//S49/0P __ 5904///iEX0'CP/ý5L902/I).L'S57 __ 69/03//2445 AS0/15 $CL5 (90$7Y/P-S5'3

3-2//0IS0

9

93 '1 9/0 S'i- O IS 5'A S S//9 5 3 5 4 5 /1/S P( -9099'/ 25-A 'I2 __ _ _ 4 9/0 9 1FO - 0 9 0 22 '/ 9 __ _ _ /9 49 s/i O/S S 2 5- //'0 4 /9 9 0 9 '-F P 4 9/9 32 'L 9 __

4 - 4/ 3 '4 1- 4/ 4' -4 _____

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0502 023902 004*600 =2f0f===1j26ij12 =2)06$ -4205022 042~~yyJi353y333f3 2.50 =132153 0002 =052

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4- =0044048 =A14400 4A4404 =0A0404 _ _-4 =09104014 =A0"1140 = "l0-1014 -- 501D

=0,4404 0M4407 ______41Wsbo ______ 0024042221 _____

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AN002240 -=T______ I_______±0*$04___=U7.&7=U8"$Q8____=U9"$Q9

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440400 (440 491202 042402 102422__-01,4464 =424004 =0 20=03 4240 o2604 __

-44242 W,2404 =2402 4240 1=2=00

7M22-$4o _________ -T221.___ 022

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;T=37-$0374=0007=404W0304 =240700 =4=00--. 3 6038=427=407 3=40604=0 34 4 ------0 ----- 0340 =AL4400 - 1=0AM4340305 =-5I

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-- 0423- $023 0222Z-38023- -

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32803 2123803 33022922 ='SOS 03 =22235"$63 =803"80S2

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3803 .2883 333U 83 =023803 =2U2898038 =80838028CJ

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318057 ~ ~ ~ ~ ~ 1 $Q57803 =-7105 02383 (1~,___ 3278522803 =4538223 =802853 3255805 1.2442385B 802=03

0 0383 =0820333 20 0500=043535 =081022 802080-

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Assessment of Core lodines and Cesiums for Post-LOCA pH Determination

For this analysis it is conservative to maximize todines, which form acids, and to minimize Cesiums, which provideneutralization before Standby Liquid Control System injection of sodium pentaborate. Both End-of-Cycle

(EOC) and near Beginning-of-Cycle (BOC) conditions are modeled, with the BOC conditions limiting for pH

purposes.The non-adjusted inventories below are taken from Peach Bottom Atomic Power Station (PBAPS) AST Calculation PM-1059, Rev. 2, Attachment A.For Iodine, the inventories are then adjusted assuming the inventories are proportional to Core Thermal Power, including a 2% instrument uncertainty value,

by using a LSCS/PBAPS power ratio of 3559/3514.9.

(Long-lived isotopes, which dominate the iodine inventories below, are proportional to bumup more than power.

Since PBAPS and LSCS fuel cycles are similar in cycle length with comparable bumups, per the PM-1059 and L-003128 calculations,

this power ratio adjustment adds conservatism.)

For Cesium, a Thermal Power ratio of 1 is used for conservatism.The rounding below is used to provide additional conservatism.

100 EFPD EOC100 EFPD EOC (grams) (grams)

(grams) (grams) adjusted adjusted1-127 4.533E+03 8.040E+03 4.590E+03 8.141E+031-129 1.571E+04 2.727E+04 1.591E+04 2.761E+041-131 7.369E+02 7.615E+02 7.461E+02 7.711E+021-132 1.296E+01 1.321E+01 1.312E+01 1.338E+011-133 1.723E+02 1.699E+02 1.745E+02 1.720E+021-134 8.118E+00 7.936E+99 8.220E+00 8.036E+001-135 5.195E+01 5.140E+01 5.260E+01 5.204E+01Total 2.123E+04 3.631E+04 2.149E+04 3.677E+04

Cs-133 1.025E+05 1.678E+05 1.025E+05 1.678E+05Cs-134 1.031E+04 1.977E+04 1.031E+04 1.977E+04Cs-135 4.502E+04 7.841E+04 4.502E+04 7.841E+04Cs-137 1.087E+05 1.832E+05 1.087E+05 1.832E+05Total 2.665E+05 4.492E+05 2.665E+05 4.492E+05

100 EFPD EOC100 EFPD EOC (gm-moles) (gm-moles)

At. Mass (gm-moles) (gm-moles) adjusted adjusted Ratio1-127 126.9045 3.572E+01 6.335E+01 3.617E+01 6.415E+01 0.5641-129 128.9050 1.219E+02 2.116E+02 1.234E+02 2.142E+02 0.5761-131 130.9061 5.629E+00 5.817E+00 5.700E+00 5.890E+00 0.9681-132 131.9069 9.825E-02 1.00112-01 9.948E-02 1.014E-01 0.9811-133 132.9078 1.296E+00 1.278E+00 1.313E+00 1.294E+00 1.0141-134 133.9099 6.062E-02 5.926E-02 6.138E-02 6.001E-02 1.0231-135 134.9100 3.851E-01 3.810E-01 3.899E-01 3.858E-01 1.011Total 1.651E+02 2.825E+02 1.671E+02 2.861E+02 0.584

for conservatism, use 170 290

Cs-133 132.9054 7.712E+02 1.263E+03 7.712E÷02 1.263E+03 0.611Cs-134 133.9067 7.6998+01 1.476E+02 7.699E+01 1.476E+02 0.521Cs-135 134.9059 3.3378+02 5.812E+02 3.337E+02 5.812E+02 0.574Cs-137 136.9071 7.940E+02 1.338E+03 7.940E+02 1.3388+03 0.593Total 1.976E+03 3.330E+03 1.976E+03 3.330E+03 0.593

for conservatism, use 1900 3200

L-003064, Rev. 1, Attachment B, Page B55of B56

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Assessment of Core lodines and Cesiums for Post-LOCA pH Determination

For this analysis it isneutralization before(EOC) and near Begipurposes.The non-adjusted invFor Iodine, the inventby using a LSCS/PBA(Long-lived isotopes,Since PBAPS and LSthis power ratio adjusFor Cesium, a ThermThe rounding below i

1-1271-1291-1311-1321-1331-1341-135Total

Cs-133Cs-134Cs- 135Cs-137Total

100 EFPD(grams)

453315710736.912.96172.38.11851.95=SUM(B23:B29)

1025001031045020108700=SUM(B33:B36)

EOC(grams)

804027270761.513.21169.97.93651.4=SUM(C23:C29)

1678001977078410183200=SUM(C33:C36)

100 EFPF EOC(grams) (grams)adjusted adjusted

=(B23"3559)/3514.9 =(C23"3559)/3514.9=(B24"3559)/3514.9 =(C24"3559)y3514.9=(B25"3559)13514.9 =(C25"3559)/3514.9=(B26"3559)/3514.9 =(C26"3559)/3514.9=(B27"3559)/3514.9 =(C27"3559)13514.9=(B28"3559(/3514.9 =(C28"3559)/351 4.9

=(B29"3559)/3514.9 =)C29"3559)(13514.9

=SUM(D23:D29) =SUM(E23:E29)

=(B33"1) =(C33"1)=(834"1) =(C34"1)=(B35"1) =(C35"1)=(836"1) =(C36"1)-SUM(D33:D36) =SUM(E33:E36)

100 EFPD EOCAt. Mass (gm-moles) (gm-moles)

1-127 126.9045 =B23/H23 =C23/H231-129 128.905 =B24/H24 =C24/H241-131 130.9061 =B25/H25 =C25/H251-132 131.9069 =B26/H26 =C26/H261-133 132.9078 =B27/H27 =C27/H271-134 133.9099 =B28/H28 =C28/H281-135 134.91 =B29/H29 =C29/H29Total =SUM(I23:129) =SUM(J23:J29)

for conservatism,

100 EFPD(gm-moles)

adjusted=D23/H23=D24/H24

=D25/H25=D26/H26=D27/H27=D28/H28

=D29/H29=SUM(K23:K29)170

EOC(gm-moles)

adjusted=E23/H23=E24/H24=E25/H25

=E26/H26

=E27/H27=E28/H28=E29/H29

=SUM(L23:L29)290

Ratio=123/J23=124/J24=125/J125

-126/J126-127/J127

=128/J28=129/J29=1301J30

=133/J33=134/.134-135/J35=136/J136

=1371J37

Cs-1 33 132.9054 =B33/H33 =C33/H33 =D33/H33 =E33/H33Cs-134 133.9067 =B34/H34 =C34/H34 =D34/H34 =E34/H34Cs-135 134.9059 =B35/H35 =C35/H35 =D35/H35 =E35/H35Cs-137 136.9071 =B36/H36 =C361H36 =36/1H36 =E36/H36Total =SUM(133:I36) =SUM(J33:J36) =SUM(K33:K36) =SUM(L33:L36)

for conservatism, 1900 3200

L-003064, Rev.I, Attachment B, Page B56 ofB56

Page 112: Calculation L-003-64, 'Suppression Pool pH Calculation for ... · Exelon Reviewer: 'f"7 , ... Documents List (ADL) for the associated Configuration Change'? Do the sources of inputs

LASALLE GENERATING STATIONTRANSIENT POOL pH CALCULATION

A I B C E F G I J K L M N 0

1 LaSalle pH CALCULATION pH TRANSIENT BEGINNING OF CYCLE I Cable Data 2

2 Linear Absorption Coefficients 4 SA .y [cm2] 9,969,370 Cable Surface [trays]- Drywell + 10% contingency

3 VpooL 4.378E+06 Liters [131900+22712 additional ft] 13 Ubea air 1.980E-02 1/cm SAuE [cm]' 498,469 Cable Surface [free air]- Drywell + 10% contingency

4 4- mI 1,700E+02 Iodine inventory [g-atoms] BOC" Ubema hypalon 52.08 1/cm Ss0uY [cm') 0 Cable Surface [trays] - Supp. Pool + 10% contingency

5 mnc 1.900E+03 Cesium inventory [g-atoms] BOC'9 Ugamma air 3.75E-05 1/cm Sa.f [cm)] 0 Cable Surface [free air) -Supp. Pool + 10% contingency

6 tga 3.361E-02 Onset of Gap release [hrs] Ugamma hypalon 0.09g 1/cm

7 r aL- 1- h.DR0WELLtJ 1145.4 cm th [cm] 0.762 Hypalon JacketnThickness

8 r g-m• 1-• pthSUPP pOO AIR]' 1145.4 cm9) INTEGRATED DOSES

10 Beta+Gammala Gamma'8

Beta"8

Gamma'n Beta" From Beta From Gamma From Beta From Gamma11 TIME POOL DRYWELL DRYWELL Supp. Pool AIR Supp. Pool AIR [HI]' [HNO] [HCL]-ORYWELL [HCL] -DRYWELL6 [HCL -CONTAIN' [HCL]-CONTmNs Total [H+] 7 [CsOH[

12 Hours Deg F Mrad MeV/cm MeV/cm - MeV/cm MeV/cm' g-mols/liter g-mols/liter g-mols/liter g-mols/liter g-molsf/iter g-mols/liter g-ions/liter g-mols/liter13 0 105 10.00+00 5.012E-06 0.900E+0114 1 170 2.480E-07 5.260E-06 4.397E-O!15 2 180 1.144E-01 3.791E+12 1.658E+12 3.791E+12 1.658E+12 5.716E-07 8.348E-07 3.515E-06 2.470E-05 0.009E+00 0.000E+00 3.463E-05 9.569E-0116 2.0336 181 1.192E-01 3.949E+12 1.727E+12 3.949E+12 1.727E+12 5.824E-07 8.704E-07 3.662E-06 2.573E-05 0.OOOE+00 O.000E+00 3.585E-05 9.743E-Of17 3 185 2.465E-01 8.018E+12 3.535E+12 8.018E+12 3.535E+12 5.824E-07 1.799E-06 7.495E-06 5.224E-05 0.000E+00 0.OOOE+00 6.713E-05 9.743E-O0,18 5 196.1 4.556E-01 1.442E+13 6.513E+12 1.442&+13 6.513E+12 5.824E-07 3.326E-06 1.381E-05 9.396E-05 0.OOOE+00 0.0000E+0 1.167E-04 9.743E-0f19 12 196.1 9.473E-01 2.758E+13 1.361E+13 2.758E+13 1.361E+13 5.824E-07 6.915E-06 2.887E-05 1.797E-04 0600E+00 O.000E+00 2.2108-04 9.743E-O20 18 196.1 1.240E+00 3.444E+13 1.802E+13 3.444E+13 1.802E+13 5.824E-07 9.055E-06 3.822E-05 2.244E-04 O.00OE+O0 0.OOOE+00 2.773E-04 9.743E-0121 24 196.1 1.475E+00 3.971E+13 2.168E+13 3.971E+13 2.168E+13 5.824E-07 1.077E-05 4.597E-05 2.587E-04 0.000E+00 0.000E+00 3.211E-04 9.743E-Of,22 48 196.1 2.151E+00 5.470E+13 3.267E+13. 5.470E+13 3.267E+13 5.824E-07 1.570E-05 6.927E-05 3.564E-04 O.OOOE+00 0.000E+00 4.469E-04 9.743E-Of23 72 196.1 2.644E+00 6.589E+13 4.092E+13 6.589E+13 4.092E+13 5.824E-07 1.930E-05 8.676E-05 4.292E-04 0.OOOE+09 0.000E+00 5.409E-04 9.743E-0f24 96 196.1 3.058E+00 7.546E+13 4.781E+13 7.546E+13 4.781E+13 5.824E-07 2.232E-05 1.014E-04 4.916E-04 0.000E+00 0.009E+00 6.209E-04 9.7438-0f25 120 196.1 3.429E+00 8.408E+13 5.381E+13 8.408E+13 5.381E+13 5.824E-07 2.503E-05 1.141E-04 5.478E-04 0.000E+00 0.0O0E+00 6.925E-04 9.743E8-O26 150 196.1 3.854E+00 9.393E+13 6.041E+13 9.393E+13 6.041E+13 5.824E-07 2.813E-05 1.281E-04 6.119E-04 0.000E+00 0.00OE+00 7.738E-04 9.743E-0f27 200 196.1 4.501E+00 1.087E+14 6.971E+13 1.087E+14 6.971E+13 5.824E-07 3.286E-05 1.478E-04 7.083E-04 0.90OE+00 0.000E+00 8.946E-04 9.743E-Of28 240 196.1 4.977E+00 1.194E+14 7.599E+13 1.194E+14 7.599E+13 5.824E-07 3.633E-05 1.6118E-4 7.781E-04 0.000E+00 0.000E+00 9.811E-04 9.743E-Of29 300 196.1 5.638E+00 1.340E+14 8.390E+13 1.340E+14 8.390E+13 5.824E-07 4.116E-05 1.779E-04 8.732E-04 0.000E+00 0.000E+00 1.098E-03 9.743E-O•30 360 196.1 6.248E+00 1.473E+14 9.044E+13 1.473E+14 9.044E+13 5.824E-07 4.561E-05 1.918E-04 9.594E-04 0.0008+00 0.O.00+00 1.202E-03 9.743E8-O31 400 196.1 6.630E+00 1.555E+14 9.422E+13 1.555E+14 9.422E+13 5.824E-07 4.840E-05 1.9988-04 1.013E-03 0.008E+00 O.000E+00 1.267E-03 9.7438E-0f32 480 196.1 7.347E+00 1.707E+14 1.007E+14 1.707E+14 1.007E+14 5.824E-07 5.363E-05 2.135E-04 1.112E-03 0.000E+00 0.000E+00 1.385E-03 9.743E-0f33 600 196.1 8.330E+00 1.914E+14 1.086E+14 1.914E+14 1.086E+14 5.824E-07 6.0818-05 2.302E-04 1.247E-03 0.000E+00 0.000E+00 1.543E-03 9.743E-Oi34 700 196.1 9.088E+00 2.072E+14 1.141E+14 2.072E+14 1.141E+14 5.824E-07 6.634E-05 2.418E-04 1.350E-03 0.000E+090 0.000E+00 1.664E-03 9.743E-O•35 720

NOTES:

196.1 9.234E+00 2.102E+141 1.151E+14 2.102E+14 1.151E+141 5.824E-071 6.741E-05 2.440E-04 1.370E-03 0.000E+00 0.0001+001 1.687E-031 9.743E-Of

3'-p- ---- -

n 3-2b

17 LSCS UFSAR Rev. 17, Figure 6.2-7a, with 105 nitial Temp. per Section 6.2.1.8

I____ I I______ _________ 18J[Afttchment B [ I_____ I I_____ ______[ _____[____ I I___5 Ibid, Equation 3-3a Attachment B

6 FIbid. Equation 3-3bI______ _________ ____________

4, 7 Ibid, Equation 3-5a; Entergy Calc. XC-1 111-98013 Rev.2, Section 5.7

8 Ibid, Equation 3-5b; EntergyCalc. XC-Q1111-98013 Rev.2, Section 5-79 Ibid, Equation 3-0a; Entergy Calc. XC-01111-98013 Rev.2, Section 5-7 I I

47 10 Ibid, Equation 3-5d; Entergy Calc. XC-01 111 5-711 Ibid, Equation 3-5d; Entergy Caic. XC-Q1111 5-7

________ L _______ .1 ____

L-003064, Rev. 1, Attachment C. Page Cl of C7

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LASALLE GENERATING STATIONTRANSIENT POOL pH CALCULATION

P R S I T I U I V w X Y z AA AB

1 pH TRANSIENT BEGINNING OF CYCLE

2 Cable Data 22

3 9,063,064 Cable Surface [Trays) - DRYWELL [cm2]

4 453,153 Cable Surface [Free air] - DRYWELL [cm2] 4200.26 g. mols Na2B, 0O16*10H2O Added

21

5 0 Cable Surface [Free air] - Supp. Pool [cm2] 42002.65 g.atoms total borone21

6 0 Cable Surface [Trays] - Supp. Pool [cm21

78pH EFFECT OF ADDITION OF SODIUM PENTABORATE STANDBY LIQUID CONTROL [SLC] SOLUTION

9i10 Strongl Acid

-!.Nt [+ -p' K g-equiv. Na2B1o016*10H20 Boae Boric Acid p.pH

12gin/ie -osltrBfr L 4 Net [H+] * V1coL g-mols g-equiv.geuv lgK. 15

13 1.9.94-09 1.241E01 -3.882E-09 1.2366-04 3.9 7.427E-109 2.196E+01 4200.3 78 33624 8.89 8.52

20 9.439E-05 1.241E+01 5.254E-061 1.4798-04 3.7 1.1278-09 2.397E-02 4200.3 761 33602 8.9 8.35

21 9.7369-05 1.241E01 3.463E-05 2.2360-04 8.35 1.2784-09 91.943E-02 4200.3 7421 33602 8.9 8.32

22 9.743E-05 1.256E+01 9.7436-05 3.45671-04 8.3. 1.198-09 1.973E-02 4200.3 880 3602 8.99 8.32

23 9.743E-05 1.2416+01 6.712E-05 4.4356-04 8.35 1.276-09 14.401 E-02 4200.3 8459 33602 9.9 8.31

24 9.743E-05 1.241E01 9.7436E-05 5.9235-04 3.29 1.27E-09 28.443E+01 4200.3 6109 33687 8.9 8.29

25 9.743E-05 1.2418+01 9.743E-05 1.916E-04 3.23 1.278E-09 5.412E+02 4200.3 59 34143 8.89 8.262 9.4E0 1.4E0 9.4E0 1.9E0 3.5 12B09 7.873E+02 4200.3 763 34389 8.9 - 8.24

26 9.7436-05 1.2416.01 9.743E-5 8.7836-04 3.17 1.2786-09 9.7918E+02 4200.3 5439 34581 8.89 8.23

27 9.743E-05, 1.2416501 9.743E-05 7.4971-04 3.10 1.278-09 3.430E+03 4200.3 4911 35132 8.99 8.1823 973-5121+1973-5 .3E0 .5 128-9 1.942E+03 4200.3 649 35544 8.9 8.15

2 9.4E0 1.4E0 9.4E0 5.3E0 3.8 12809 2.292E+03 4200.3 619 35894 8.9 8.122 9.4E0 1.4E0 9.4E0 5.5E04 32.12809 2.605E+03 4200.3. 59 36207 .8. 8.102 9.4E0 1.4E0 9.4E0 6.6E0 3.7 12B09 2.961 E+03 4200.3 549 36563 8.9 8.07

27 973-5121+1973-5 791E0 .0 128-9 3.490E+03 4200.3 491 37092 8.9 8.02

29 9.7436-05 1.2416+01 9.743E-05 9.837E-04 3.05 1.2796-09 3.869E+03 4200.3 4532 37471 8.89 7.9829 9.743E-05 1.2416+01 9.7436-05 1.0006-03 3.00 1.2796-09 4.380E+03 4200.3 4020 37982 9.89 7.92

30. 9.743E-05 1.241E+01 9.743E-05 1.1056-03 2.96 1.2786-09 4.838E+031 4200.3 3563 38440 9.69 7.863 9.4E0 1.4E0 9.4E0 1.6E0 2.3 12809 5.119E+031 4200.3 322 38721 -88- 7.823 9.4E0 1.4E0 9.4E0 1.8E0 2.9 12B09 5.637E+03 4200.3 274 39239 8.9 7.74

3 9.4E0 1.4E0 9.4E0 1.4E0 2.4 12B09 6.331 E+03 4200.3 200 39933 8.9 7.6134 973-5121+1973-5 156-3 28.128-9 6.857E+03 4200.3, 14 40459 8.9 7.47

3 9.4E0 1.4E0 9.4E0 1.8E0 2.0 12B09 6.958E+03 4200.3 143 40560 8.9 7.44

36i37i38i39,40]41i42i43i44i

45--46i47i48i

1491

L-003064, Rev. 1, Attachment C, Page C2 of C7

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LASALLE GENERATING STATIONTRANSIENT POOL pH CALCULATION

A I B I C D 6 F G I K L M IN1 LaSalle pH CALCULATION PH TRANSIENT END OF CYCLE I Cable Data 21

2 Linear Absorption Coefficients 4 SA .1 [cm2] 9.969,370 Cable Surface [trays]- Drywell + 10% contingency

3 Vp°°L 4.378E+06 Liters [131900+22712 additional ft3] 13 U____ air 1.980E-02 1/cm SA.f [cm2] 498,469 Cable Surface [free air]- Drywell + 10% contingency

4 Im1 2.900E+02 Iodine inventory [g-atoms] EOC'3

Ubela hypalon 52.08 1/cm SB ,•a [cm2] 0 Cable Surface [trays] - Supp. Pool + 10% contingency

5 m 5C 3.200E+03 Cesium inventory [g-atoms] EOC'9 Ugamma air 3.75E-05 1/cm Sa.a [crm 0 Cable Surface [free air] - Supp. Pool + 10% contingency

6 tap 3.361 E-02 Onset of Gap release [hrs] Up-mo hypalon 0.099 1/cm7 r rlava •', "--LL 1145.4cm th [cm] 0.762 Hypalon Jacket Thickness

8 r t.,'ra mo-son poo. oeR 1145.4 cm9 INTEGRATED DOSES10 Beta+Gammaii Gammali Betau" Gamma'

3 Beta"

0 From Beta From Gamma From Beta From Gamma

11 TIME POOL DRYWELL DRYNELL Supp. Pool AIR Supp. Pool AIR [HI] [HNO3[ [HCL[ -DRYWELL' []HCL]-ORYWELL• [HCL] -CONTAsN [HCL) -CONTAIN' Total [H+] ' [CsOH]

12 Hours F Mrad M MeV/cm MeV/cm' g-mols/liter g-mob/liter g-mols/diter g-mols/liter g-mols/liter g-mols/liter g-ions/liter g-mols/liter13 0 105 0.O0E+00_ 5.012E-061 0.000E+0014 1 170 4.230E-07 5.435E-06 7.396E-0515 2 180 1.144E-01 3.791E+12 1.658E+12 3.791E+12 1.658E+12 9.750E-07 8.348E-07 3.515E-06 2.470E-05 0.000E+00 0.O00E+00 3.503E-05 1.609E-0416 2.0336 181 1.192E-01 3.949E+12 1.727E+12 3.949E+12 1.727E+12 9.936E-07 8.704E-07 3.662E-06 2.573E-05 0.O00E+00 0.000E+00 3.626E-05 1.638E-0417 3 185 2.465E-01 8.018E+12 3.535E+12 8.018E+12 3.535E+12 9.936E-07 1.799E-06 7.495E-06 5.224E-05 0.OO9E+00 O.OOOE+00 6.754E-05 1.638E-0418 5 196.1 4.556E-01 1.442E+13 6.513E+12 1.442E+13 6.513E+12 9.936E-07 3.326E-06 1.381E-05 9.396E-05 0.OOOE+00 0.00OE+00 1.171E-04 1.638E-0419 12 196.1 9.473E-01 2.758E+13 1.361E+13 2.758E+13 1.361E+13 9.936E-07 6.915E-06 2.887E-05 1.797E-04 0.OOOE+00 0.OOOE+00 2.215E-04 1.638E-0420 18 196.1 1.240E+00 3.444E+13 1.802E+13 3.444E+13 1.802E+13 9.936E-07 9.055E-06 3.822E-05 2.244E-04 0.0006+00 O.OOOE+O0 2.777E-04 1.638E-0421 24 196.1 1.475E+00 3.971E+13 2.168E+13 3.971E+13 2.168E+13 9.936E-07 1.077E-05 4.597E-05 2.587E-04 O.006E+00 0.OOOE+00 3.215E-04 1.638E-0422 48 196.1 2.151E+00 5.470E+13 3.267E+13 5.470E+13 3.267E+13 9.936E-07 1.570E-05 6.927E-05 3.564E-04 0.OOOE+O0 O.O0OE+00 4.473E-04 1.638E-0423 72 196.1 2.644E+00 6.589E+13 4.092E+13 6.589E+13 4.092E+13 9.936E-07 1.930E-05 8.676E-05 4.292E-04 0.000E+00 0.000E+00 5.413E-04 1.638E-0424 96 196.1 3.058E+00 7.546E+13 4.781E+13 7.546E+13 4.781E+13 9.936E-07 2.232E-05 1.014E-04 4.916E-04 0.000E+00 0.000E+00 6.213E-04 1.638E-0425 120 196.1 3.429E+00 8.408E+13 5.381E+13 8.408E+13 5.381E+13 9.936E-07 2.503E-05 1.141E-04 5.478E-04 0.0OOE+09 0.OOOE+00 6.929E-04 1.638E-0426 150 196.1 3.854E+00 9.393E+13 6.041E+13 9.393E+13 6.041E+13 9.936E-07 2.813E-05 1.281E-04 6.119E-04 O.00OE+09 0.OOOE+00 7.742E-04 1.638E-0427 200 196.1 4.501E+00 1.087E+14 6.971E+13 1.087E+14 6.971E+13 9.936E-07 3.286E-05 1.478E-04 7.083E-04 0.000E+00 0.000E+00 8.950E-04 1.638E-0428 240 196.1 4.977E+00 1.194E+14 7.599E+13 1.194E+14 7.599E+13 9.936E-07 3.633E-05 1.611E-04 7.781E-04 0.0006+00 0.000E+00 9.815E-04 1.638E-0429 300 196.1 5.638E+00 1.340E+14 8.390E+13 1.340E+14 8.390E+13 9.936E-07 4.116E-05 1.779E-04 8.732E-04 0.O00E+00 0.000E+00 1.098E-03 1.638E-0430 360 196.1 6.248E+00 1.473E+14 9.044E+13 1.473E+14 9.044E+13 9.936E-07 4.561E-05 1.918E-04 9.594E-04 0.006E+00 0.O00E+00 1.203E-03 1.638E-0431 400 196.1 6.630E+00 1.555E+14 9.422E+13 1.555E+14 9.422E+13 9.936E-07 4.840E-05 1.998E-04 1.013E-03 0.000E+00 0.O00E+00 1.267E-03 1.638E-0432 480 196.1 7.347E+00 1.707E+14 1.007E+14 1.707E+14 1.007E+14 9.936E-07 5.363E-05 2.135E-04 1.112E-03 O.00OE+00 0.000E+00 1.385E-03 1.639E-0433 600 196.1 8.330E+00 1.914E+14 1.086E+14 1.914E+14 1.086E+14 9.936E-07 6.081E-05 2.3026-04 1.2476-03 0.0006+00 0.0006+00 1.5446-03 1.6386-0434 700 196.1 9.088E+00 2.072E+14 1.141E+14 2.072E+14 1.141E+14 9.936E-07 6.634E-05 2.4186-04 1.3506-03 0.000E+O0 0.O00E+00 1.664E-03 1.638E-0435 720 196.1 9.234E+00 2.102E+14 1.161E+14 2.102E+14 1.151E+14 9.936E-07 6.741E-05 2.440E-04 1.370E-03 0.000E+00 0.000E+00 1.687E-03 1.638E-0436 1 137 NOTES: 14 Acid dissociation constant from: Entergy Eng. Report GGNS-98-0039 Rev.3, Sect.6.1,p.2138 1 Entergy Eng. Report GGNS-98-0039 Rev.3, Equation 3-1d [30+90 min release duration] 15 Entergy Caic. XC-C1111-98013 Rev.2, Section 5.739 2 Ibid, Equation 3-2b 16 See attachment B for gamma free paths40 3 Ibid, Equation 3-4d [30+90 rain release duration] 17 LSCS UFSAR Rev. 17, Figure 6.2-7a, with 105 initial Temp. per Section 6.2.1.8

41 4 bi, able A--1 18 Attachment B

42, 5,Ibid, Equation 3-3a 19 Attachment B

43 6 Ibid, E uation 3-3b 20 USNRC Reg. Guide 1.18344 7 Ibid, Equation 3-5a; Entargy Calc. XC-Q1 111-98013 Rev.2, Section 5.7 21 Page C6 of this attachment

45 8 Ibid, Equation 3-5b; Entargy Calc. XC-Q1 111-98013 Rev.2, Section 5-7 22 Cable Data from Attachment A.46 9 Ibid, Equation 3-0a; Entergy Calc. XC-Q1 111-98013 Rev.2, Section 5-747 10 Ibid, Equation 3-5d; Entergy Catc. XC-Q1 111-98013 Rev.2, Section 5-748 11 Ibid, Equation 3-5d; Entergy Calc. XC-Q1 111-98013 Rev.2, Section 5-749 121 bid, Equation 3-5e; Entergy Calc. XC-Q1 111-98013 Rev.2, Section 5-750 131VMax. Suppression Pool volume from LSCS Tech. Spec. Bases B 3.6.2.2 plus the 22712 from UFSAR Table 6.2-3 Total Reactor Coolant Volume

L-003064, Rev. 1, Attachment C, Page C3 of C7

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LASALLE GENERATING STATIONTRANSIENT POOL pH CALCULATION

P 0 R S I T I U I V W X _Z AA A

1 pH TRANSIENT END OF CYCLE

2 Cable Data 22

3 9,063,064 Cable Surface [Trays] - DRYWELL [cre2

4 453,153 Cable Surface [Free air] - DRYWELL ,cm2] 4200.26 g. mols Na 2BO,5*10H20 Added

5 0 Cable Surface [Free air] - Supp. Pool [cm2] 42002.65 g.atoms total boron

6 0 Cable Surface [Trays] - Supp. Pool [cm2]i

7 I ,8 pH EFFECT OF ADDITION OF SODIUM PENTABORATE STANDBY LIQUID CONTROL [SLC] SOLUTION

9I

10 Strong Acid

11 TotalOH+] -LOOG(Kw) •1 Root x • jNetHsl [F g-equiv. Na2BroO16*lH20 Borate Boric Add pK. pH

12 g-ioeolliter g-ions/liter Before SLC .. .Net [H+] * V ý g-mols g-eddy. 9-eq . og, K,

13 1.995E-09 1.353E601 -3.882E-09 5.016E-06 5.30 7.452E-10 2.196E+01 4200.3 8379 33624 9.13 8.5214 7.396E-05 1.267E+01 5.432E-06 3.094E-09 8.51 1.125E-09 1.355E-02 4200.3 8401 33602 8.95 8.3515 1.609E-04 1.257E+01 3.503E-05 2.153E-09 6.67 1.194E-09 9.426E-03 4200.3 8401 33602 8.93 8.3216 1.639E-04 1.256E+01 3.626E-05 2.175E-09 6.66 1.190E-09 9.524E-03 4200.3 8401 33602 8.92 8.32

17 1.639E-04 1.252E+01 6.753E-05 3.164E-09 8.50 1.213E-09 1.385E-02 4200.3 8401 33602 8.92 8.3116 1.639E-04 1.241E+01 1.171E-04 8.335E-09 6.06 1.2780-09 3.649E-02 4200.3 8400 336021 8.89 8.2919 1.639E-04 1.241E+01 1.638E-04 5.761E-05 4.24 1.278E-09 2.522E+02 4200.3 8148 33854 8.89 8.27

20 1.639E-04 1.241E+01 1.638E-04 1.138E-04 3.94 1.278E-09 4.983E+02 4200.3 7902 34100 8.89 8.2621 1.639E-04 1.241E+01 1.638E-04 1.576E-04 3.80 1.278E-09 6.901E+02 4200.3 7710 34292 8.89 8.2522 1.639E-04 1.241E+01 1.638E-04 2.835E-04 3.55 1.2786-09 1.241E+03 4200.3 7159 34843 8.89 8.2123 1.639E-04 1.241E+01 1.638E-04 3.775E-04 3.42 1.278E-09 1.653E+03 4200.3 6748 35255 8.89 8.18

24 1.636-04 1.241E+01 1.639E-04 4.575E-04 3.34 1.2786-09 2.003E+03 4200.3 5398 35605 8.89 8.1525 1.6396-04 1.241E+01 1.639E-04 5.290E-04 3.28 1.2786-09 2.316E+03 4200.3 6084 35918 8.89 8.1226 1.6396-04 1.241E+01 1.639E-04 6.103E-04 3.21 1.278E-09 2.672E+03 4200.3 5728 36274 8.89 8.09

27 1.639E-04 1.241E+01 1.639E-04 7.311E-04 3.14 1.2786-09 3.201E+03 4200.3 5200 36803 8.89 8.0428 1.6396-04 1.241E+01 1.639E-04 8.177E-04 3.09 1.2786-09 3.580E+03 4200.3 4821 37182 8.89 8.0129 1.639E-04 1.241E+01 1.639E-04 9.345E-04 3.03 1.278E-09 4.091E+03 4200.3 4309 37693 8.89 7.9530 1.6396-04 1.241E+01 1.639E-04 1.039E-03 2.98 1.278E-09 4.5496+03 4200.3 3852 38151 8.89 7.9031 1.639-04 1.241E+01 1.639E-04 1.103E-03 2.96 1.278E-09 4.830E+03 4200.3 3571 38432 8.89 7.8632 1.639E-04 1.241E+01 1.639E-04 1.221E-03 2.91 1.278E-09 5.348E+03 4200.3 3053 38950 8.89 7.7933 1.639E-04 1.241E+01 1.639E-04 1.380E-03 2.86 1.2786-09 6.042E+03 4200.3 2359 39644 8.89 7.6734 1.639E-04 1.241E+01 1.639E-04 1.500E-03 2.82 1.278E-09 6.568E+03 4200.3 1833 40170 8.89 7.5535 1.639E-04 1.241E+01 1.639E-04 1.523E-03 2.82 1.278E-09 6.669E+03 4200.3 1732 40271 8.89 7.53

36 ______

37 ______

3839.______4041424344

4647

N1491i150 i 1 i

L-003064, Rev. 1, Attachment C, Page C4 of C7

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LASALLE GENERATING STATION TRANSIENT POOL pH CALCULATION

Weight % Sodium Pentaborate in Solution vs. Specific Gravity @ 80 F

1.075

y 0 .5x + 0.998

1.07

1.065

ILQco

@) 1.06

(U Data between 11 wt% and14.3wt% is from Limerick

O1.055 Generating-Station* Procedure No.-CH-C-314,

U. •Rev. 3, Table 2

1.05

1.045

1.04 -10.00% 11.00% 12.00% 13.00% 14.00% 15.00%

Weight % Sodium Pentaborate in Solution

L-003064, Rev. 1, Attachment C, Page C-5 of C-7

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LASALLE GENERATING STATIONTRANSIENT POOL pH CALCULATION

AI C I D E F G1 Available Boron Calculation23 3734985.924 Quantity Volume Basis56 Volume of Solution (gal)= 4.5870E+03 LSCS Technical Specification figure 3.1.7-17 wt% of Na2B, 0O,6*10H20= 13.4% LSCS Technical Specification figure 3.1.5-18 Specific Gravity (gm/cm3)= 1.0655 Ref. 5.10 Table CH-C-105-3 and Attachment C, Page C-59 Conversion Factor (cm3igal)= 3785.4110 __ Conversion Factor (Ibs•gm)= 0.00221112 Total Mass of Solution (lbs)= 4.0788E+0413 Total Na2B,,OO*10H20 (lbs)= 5.4656E+0314 Total Na2B10Oi*10HO (gm)= 2.4791E+0615 Total Na2B, 0O, 0*10H2O (gmn-moles)= 4.2003E+0316 Total Boron (gm-moles)= 4.2003E,041718

19 Total Available Boron (lbs)= 1.0011E+0320 Total Available Boron (moles)= 4.2003E+042122 B-10 Enrichment= 19.90%2324 Molar Mass Total Molar Mass of25 (gmlmole) Na2Bl0O a __*_10H20

26 Sodium 22.99 590.233027 Boron 10.811028 Oxygen 16.0029 Hydrogen 1.0130 Boron-10 10.012931 Boron-11 11.00933233 Percentage of Total Boron= 18.3165%

L-003064, Rev. 1 Attachment C, Page C6 of C7

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CH-C-314, Rev. 3

CH-C-314 TABLE 2

WeiQht % Sodium nentaborate vs Snecific Gravity at 80 dearees C

LGS ONLY

Weight Weight% Sodium Specific % Sodium Specific

pentaborate Gravity pentaborate Gravityin Solution @ 80 OF in Solution @ 80 °F

11.0 1.0535 12.7 1.0620

1.0540 12.8 1.0625

.. .. .. . ! •. .... .. . .. .. ... .. .. .1 .. 0 5 .4 5 . ... . .. .. .. . ..1 2 ..9 . .. . . . .. ..1 -. 0 6 3 0 . . . .

11.3 1.0550 13.0 1.0635

11.4 1.0555 13.1 1.0640

11.5 1.0560 13.2 1.0645

11.6 1.0565 13.3 1.0650

11.7 1.0570 13.4 1.0655

11.8 1.0575 13.5 1.0660

11.9 1.0580 13.6 1.0665

\ 12.0 1.0585 13.7 1.0670

12.1 1.0590 13.8 1.0675

12.2 1.0595 13.9 1.0680

12.3 1.0600 14.0 1.0685

12.4 1.0605 14.1 1.0690

12.5 1.0610 14.2 1.0695

12.6 1.0615 14.3 1.0700

L-003064, Rev. 1, Attachment C, Page C7 of C7

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LASALLE GENERATING STATIONTRANSIENT POOL pH CALCULATION

A B C D E F G H

1 LaSalle pl- PH TRANSIENT BEGINNING OF CYCLE

2 Linear Absorption C,

3 VpooL =(131900,22712)'21 Liters [131900+22712 1Uta ai0 0.0198 1/cm

4 mI =170 Iodine inventory [g-atol U vta hypalon 52.08 1/cm

5 mnc =1900 Cesium inventory [g-ato Ugamma iur 0.0000375 1/cm

6 tgp =121/3600 Onset of Gap release [t Ugam-a hypalm 0.099 1/cm

7 r [g-mbr mpt-OlOWELLI 1145.4 cm

8 r I . ff•p8.SLPP POOL Al 1145.4 cm9 INTEGRATED

10 Beta+Gammal Gamma"8

Beta"8

Gamma`8

Beta"8

11 TIME POOL Temp POOL DRYWELL DRYWELL Supp Pool AIR Supp Pool AIR . [HI] 8 [HNO] 2_

12 Hours Deg F Mrad MeV/cm' MeV/cm3 g-mos/titer g-mols/liter

13 0 80 014 1 175 =$B$4/(120*$B$3)-($A14-(0.5+$B$6))+$B$4/(400*$B$3)15 2 187 0.114350690881495 3790880503691 1657791983720.3 3790880503691 1657791983720.3 =$B$4/(120*$B$3)*($A15-(0.5+$B$6))+$B$4/(400*$B$3) =0.0000073"$C1516 =0.5+1.5+86 188 0.119239216805713 3948701086072.37 1726980020148.44 3948701086072.37 1726980020148.44 =$B$4/(120*$B$3)*($A16-(0.5+$B$6))+$B$4/1(400*$B$3) =0.0000073"$C1617 3 192 0.246503758693045 8018164351599.42 3534749118108.12 8018164351599.42 3534749118108.12 =H$16 =0.0000073$C1718 5 196.1 0.455565662635391 14422612584938.7 6513016665673.48 14422612584938.7 6513016665673.48 =H$16 =0.0000073$C1819 12 196.1 0.947321614636899 27577220707280.2 13614438264713.9 27577220707280.2 13614438264713.9 =H$16 =0.0000073$C1920 18 196.1 1.24035312656345 34442170719290.2 18024890934106.9 34442170719290.2 18024890934106.9 =H$16 =0.0000073*$C2021 24 196.1 1.47540965485085 39713693242271.1 21681328090223.4 39713693242271.1 21681328090223.4 =H$16 =0.0000073"$C2122 48 196.1 2.15094766131462 54698635664437.7 32668988446125.1 54698635664437.7 32668988446125.1 =H$16 0.0000073"$C22

23 72 196.1 2.64394690696364 65885535777661.8 40916807890604.8 65885535777661.8 40916807890604.8 =H$16 =0.0000073*$C2324 96 196.1 3.05810702190641 75459953398150.9 47805167716688.5 75459953398150.9 47805167716688.5 =H$16 =0.0000073S$C24

25 120 196.1 3.4287336546583 84077551764018.3 53810095454120.1 84077551764018.3 53810095454120.1 =H$16 =0.0000073$C2526 150 196.1 3.85395425802565 . 93929699467813.7 60406887098065.2 93929699467813.7 60406887098065.2 =H$16 =0.0000073$C2627 200 196.1 4.50070070908295 108719574927709 69714909824775.2 108719574927709 69714909824775.2 =H$16 =0.0000073"$C2728 240 196.1 4.97707764028497 119428235673629 75986070859729.3 119428235673629 75986070859729.3 =H$16 =0.0000073"$C2829 300 196.1 5.63835110881547 134037703829197 83899590931009.8 134037703829197 83899590931009.8 =H$16 =0.0000073*$C2930 360 196.1 6.2475454026586 147264238135522 90440778258257.2 147264238135522 90440778258257.2 =H$16 =O.0000073"$C3031 400 196.1 6.62970632166082 155465936395942 94215137770998.6 155465936395942 94215137770998.6 =H$16 =0.0000073"$C31

32 480 196.1 7.34682314059028 170699608182561 100703356872217 170699608182561 100703356872217 =H$16 =0.0000073*$C3233 600 196.1 8.33040031237555 191367734998598 108581147160701 191367734998598 108581147160701 =H$16 =0.0000073"$C3334 700 196.1 9.08760106603799 207188024321776 114050181194301 207188024321776 114050181194301 =H$16 =0.0000073"$C34

35 720 196.1 9.23367503333038 210236350018260 115059763356440 210236350018260 115059763356440 =H$16 =0.0000973$C353637 NOTES: 14 Acid dissociation constant from: Entergy Eng. Report GGNS-938 1 Entergy Eng. Report is Entergy Calc. XC-_1_111-98013 Rev.2_ Section 5.739 2 Ibid, Equation 3-2b 16 - ee attachment B for gamma free paths

40 3 Ibid, Equation 3-4d [1 17 LSCS UFSAR Rev. 17, Figure 6.2-7a, with 105 initial Temp. p41 4 Ibid, Table A-1 18 ittachment B42 5 Ibid, Equation 3-3a 19 Attachment B

43 5 Ibid, Equation 3-3b 20 JSNRC Req. Guide 1.183

Ibid, Equation 3-5a; 1E

4691Ibi13, •::quation 3-5b; •-

I47 10

L-003064, Rev. 1, Attachment D, Page D1 of D13

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LASALLE GENERATING STATIONTRANSIENT POOL pH CALCULATION

J K L

1 Cable Data 2

2 SA uy [cm2] =$P$3*1.1 Cable Surface [trays]- Drywlel ÷ 10% contingency

3 SA. [cm2] =$P$4"1.1 Cable Surface [free air]- Drywell + 10% contingency

4 Sey [cm2] =$P$6"0.95"1.1 Cable Surface [trays] - Supp. Pool + 10% contingency

5 Sa' [cm2] =P6 "1.1"0.05 Cable Surface [free air] - Supp. Pool + 10% continge nr

6

7 th [cm] 0.61173 Hypalon Jacket Thickness81

10 From Beta From Gamma From Beta11 [HCL] -DRYWELL [HCL[ -ORYWELL [HCL[ -CONTAIN'

g12 g-molsliter g-molsfitem g-mols/litem

14

15 =3.512E-20/5B$3*($K$2*0.95/2+$K$3)/SH$3*$E15 =3.512E-20/$B$3*($K$2*0.95+$K$3)*(1-EXP(-$H$55$H$7))$H$5*(1-EXP(-$H$6*$K$7))*$D15 =3.512E-20/5B$3*($K$4*O.9512+$K$5)I$H$3*$E1 516 =3.512E-20/$B$3*($K$2*0.9512+$K$3)/$H$3*$E16 =3.512E-20/$B$3*$K$2*O.95+$K$3( -EXP(-$H$5$H$7)$H$5* 1-EXP(-$H$6$K$7)*D16 =3.512E-201$B$3*($K$4*0.9512÷$K$5)/$H$3*$E1617 =3.512E-20I$B$3*($K$2*0.95/2+$K$3)I$H$3*$E17 =3.512E-20/$B$3*($K$2O.95$K$3)(1-EXP(-$H$5$H$7)/$H$5 1-EXP(-$H$6$K$7))$D17 =3.512E-201$B$3*($K$4*0.9512+$K$5)I$H$3*$E1718 =3.512E-201$B$3*($K$2*0.9512+$K$3)/IH$3*$E18 =3.512E-20/$B$3*($K$2*0.95+$K$3)*(1-EXP(-$H$5*$H$7)5$H$5*(1-EXP(-$H$6*$K$7))'$D18 =3.512E-20/5B$3*($K$4*0.95f2+$K$5)I$H$3*$E1819 =3.512E-20O$f$3*($K$2*0.9512+$K$3)/$H$3*$E19 =3.512E-20/$B$3*($K$2*0.95+$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D1 9 =3.512E-2015B$3"($K$4*o.95f2+$K$5)I$H$3*$E1920 =3.512E-20f5B$3"($K$2"0.95/2+$K$3)/$H$3*$E20 =3.512E-20/$B$3*($K$2*0.95+$K$3)*(1-EXP(-$H$5*$H$7))$H$5*(1-EXP(-$H$6*$K$7))*$D20 =3.512E-20I$B$3*($K$4*0.95/2+$K$5)/$H$3"$E2021 =3.512E-20/$B$3*($K$2"0.95/2+$K$3)/$H$3$E21 =3.512E-20/$B$3*($K$2*0.95+$K$3)*(1-EXP(-$H$5*$H$7)/$H$5*(1-EXP(-$H$6*$K$7))*$D21 =3.512E-201$B$3*($K$4*0.95/2+$K$5)/$H$3"$E2122 =3.512E-20/$B$3*($K$2*0.95/2÷$K$3)$H$3*$E22 =3.512E-20/$B$3*($K$2*0.95+$K$3)*(1-EXP(-$H$5*$H$7))$H$5*(1-EXP(-$H$6*$K$7))*$D22 =3.512E-20/$B$3*($K$4*0.95/2÷$K$5)I$H$3*$E2223 =3.512E-2015B$3*($K$2*0.95/2+$K$3)S$H$3*$E23 =3.512E-201$B$3*($K$2*0.95+$K$3)( 1-EXP(-$H$5*$H$7))$H$5*( 1-EXP(-$H$6*$K$7))*$D23 =3.512E-2015B$3 ($K$4"0.9512+$K$5Y$H$3*$E2324 =3.512E-201$B$3*($K$2*0.9512+$K$3)/$H$3*$E24 =3.512E-20/$B$3*($K$2*0.95+$K$3)*( 1-EXP(-$H$5*$H$7))I$H$5*(1-EXP(-$H$6*$K$7))*$D24 =3.512E-20/$B$3*($K$4"0.95/2+$K$5)/$H$3*$E2420 -3.51 2E-201$5$3*($K$2*O.9512÷$K$3)ISH$3°$E25 =3.512E-20/$B$3[($K$2°95+$K$3)•(1 -EXP(-$H$5•$H$7))1$H$55(1-ExP(-$H$61$K$7))*$D25 =3.512E-2015B$3*($K$4*O.9512n$K$5)I$H$3*$E2526 =3.512E-201$B$3*($K$2*0.95/2+$K$3)/$H$3*$E26 =3.512E-20/$B$3*($K$2*0.95+$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D26 =3.512E-20/$B$3"($K$4*0.95/2÷$K$5)/$H$3"$E26

27 =3.512E-20/$B$3*($K$2*0.95/2+$K$3)J$H$3*$E27 =3.512E-20/$B$3*($K$2"0.95+$K$3)*(1-EXP(-$H$5"$H$7))$H$5*(1-EXP(-$H$6"$K$7))*$D27 =3.512E-20/$B$3*($K$4*0.95i2+$K$5/$H$3*$E2728 =3.512E-201$B$3*($K$2*0.95/2+$K$3)I$H$3*$E28 =3.512E-20/$B$3*($K$2*0.95+$K$3)*(1-EXP(-$H$5*$H$7)y$H$55(1-EXP(-$H$61$K$7))*$D28 =3.512E-20/$B$3*($K$4*0.95/2+$K$5)/$H$3*$E2829 =3.512E-20/$B$3"($K$2*0.95/2+$K$3)/$H$3"$E29 =3.512E-20/$B$3*($K$2*0.95+$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D29 =3.512E-20/$B$3*($K$4*0.95f2+$K$5)I$H$3*$E2930 =3.512E-201$B$3($K$2O.9512+$K$3)f$H$3$E30 =3.512E-20/$B$3*($K$2*0.95+$K$3)*(1 EXP(-$H$5$H$0H$6$K$7))*$D30 =3.512E-20/$B$3"($K$4*O.95/2+$K$5)/$H$3*$E3031 =3.512E-20/$B$3"($K$2"0.95/2+$K$3)/$H$3*$E31 -3.512E-20/$B$3*$K$2*0.95+$K$3)*(1-EXP(-$H$5*H$7))/$H$5(1-EXP(-$H$6*K$7))$D31 =3.512E-201$B$3*($K$4*0.95f2+$K$5)/$H$3*$E3132 =3.512E-20/$B$3*($K$2*0.95/2+$K$3)I$H$3*$E32 =3.512E-20/$B$3-($K$2*0.95+$K$3)y(1-EXP(-$H$5*$H$7)Y$H$5*(1-EXP(-$H$61$K$7))*$D32 =3.512E-2015B$3"($K$4*O.9512+$K$5)I$H$3*$E3233 =3.512E-20/$B$3*($K$2*0.95/2+$K$3)I$H$3*$E33 =3.512E-20/$B$3"($K$2*0.95+$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D33 =3.512E-20I$B$3*($K$4°0.95f2÷$K$5)/$H$3*$E3334 =3.512E-201$B$3"($K$2*0.95I2+$K$3)/$H$3*$E34 =3.512E-20/$B$3*($K$2*0.95$K$3)*(1-EXP(-$H$5*$H$7))/$H$$*(1-EXP(-$H$6*$K$7))*$D34 =3.512E-20/$B$3*($K$4*0.95/2+$K$5)I$H$3*$E3435 =3.512E-20/5B$3*($K$2*0.95I2+$K$3)I$H$3*$E35 =3.512E-20/$B$3*($K$2*0.95+$K$3)*(1-EXP(-$H$5*$H$7))-$H$5*(1-EXP(-$H$6*$K$7))*$D35 =3.512E-20/$B$3*($K$4*0.95/2+$K$5)/$H$3*$E3536373839404142434445

46,

47

48 ___________

L-003064, Rev. 1, Attachment 0, Page D2 of C13

Page 121: Calculation L-003-64, 'Suppression Pool pH Calculation for ... · Exelon Reviewer: 'f"7 , ... Documents List (ADL) for the associated Configuration Change'? Do the sources of inputs

LASALLE GENERATING STATIONTRANSIENT POOL pH CALCULATION

M N 0

3

4

5

6

7

89

10 From Gamma11 [HCL]-CONTAINo Total [H+] [CsOH]

12 g-mols/liter g-ions/liter g-mol!!liter13 =POWER(10,-$T$13)+$H13+$113+$J13+$K13+$L13+$M13 014 =POWER(10,-$T$1 3)+$H14+$114.$J14+$K14+r$L14+$M14 =(.*B5045$$)(*B3*$1-0.+B6)(.5$$-.45$$)$$

15 =3.512E-20/$B$3*($K$4*0,95+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*(1-EXP(-$H$6*$K$7))*$D15 =POWER(10,-$T$13)+$H 15+$115+$J 15+$Kl5+$L15+$Mi5 =(0.4*$B$5-O.475*$B$4)/(3*$B$3)*($A15-(0.5+$B$6))+(0.05*$B$5-O.0475*$B$4)/$B$316 =3.512E-20/$B$3*($K$4*0.95+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5-(1-EXP(-$H$6*$K$7))*$D16 =POWER(10,-$T$13)+$H16+$116+$J 16+$K16+$L16+$M 16 =(0.4*$B$5-0.475*$B$4)/(3*$B$3)*($A16-(0.5+$B$6))+(0.05*$B$5-0.0475*$B$4)/$B$317 =3.512E-20/$B$3*($K$4*0.95+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*(1-EXP(-$H$6*$K$7))*$D17 =POWER(10,-$T$13)+$H 17+$117+$J 17+$K17+$L17+$M 17 =$O$1618 =3.512E-2O/$B$3-($K$4*0.95+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*(1l-EXP(-$H$6*$K$7))*$D18 =POWER(10,-$T$13)+$H18+$118+$J 18+$K18+$L18+$M 18 =$O$1619 =3.512E-20/$B$3*($K$4*0.95+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*(1-EXP(-$H$6*$K$7))*$019 =POWER(10,-$T$13)+$H19+$119+$J1 9+$K19+$L19+$M 19 =$O$1620 =3.512E-20/$B$3*($K$4*0.95+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*(1-EXP(-$H$6*$K$7))*$D2O =POWER(10,-$T$13)+$H20+$120+$J20+$K20+$L20+$M20 =$O$1621 =3.512E-20/$B$3*($K$4*0.95+$K$5)*(-EXP(-$H$5*$H$8))/$H$5*(-EXP(-$H$6*$K$7))*$D21 =POWER(10,-$T$13)+$H2 $121$J21K21$L21$M21 =$O$1622 =3.512E-20/$B$3*($K$4*0.96+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*(1-EXP(-$H$6*$K$7))*$D22 =POWER(1l,-$T$13)+$H22+$122÷$J22+$K22+$L22+$M22 =$O51623 =3.512E-20/$B$3*($K$4*0.95+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*(1-EXP(-$H$6*$K$7))*$D23 =POWER( 10,-$T$13)+$H23+$123+$J23+$K23+$L23÷$M23 =$O51624 =3.512E-20/$B$3*($K$4*0.95+$K$5)*(1-EXP(-$H$5*$H$8))S$H$5*(1-EXP(-$H$6*$K$7))*$024 =POWER(10,-$T$13)+$H24+$124+$J24+$K24+$L24+$M24 =$O51625 =3.512E-20/$B$3*($K$4*0.95+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*(1-EXP(-$H$6*$K$7))*$D25 =POWER(10,-$T$13)+$H25+$125+$J25+$K25+$L25+$M25 =$O51626 =3.512E-20/$B$3*($K$4*0.95+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*(1 -EXP(-$H$6*$K$7))*$D26 =POWER(10,-$T$13)+$H26+$126+$J26+$K26+$L26+$M26 =$O51627 =3.512E-20/$B$3*($K$4*0.95+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*(1-EXP(-$H$6*$K$7))*$D27 =POWER(10,-$T$13)+$H27+$127+$J27+$K27+$L27+$M27 =$O51628 =3.512E-20/$B$3*($K$4*0.95+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*(1-EXP(-$H$6*$K$7))*$D28 =POWER(10,-$T$13)+$H28+$128+$J28+$K28+$L28+$M28 =$O51629 =3.512E-20/$B $3($K$4*0.95+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*(1-EXP(-$H$6*$K$7))*$D29 =POWER( 10,-$T$1 3)+$H29+$129+$J29+$K29+$L29+$M29 =$O51630 =3.512E-20/$B$3*($K$4 0.95+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*(1-EXP(-$H$6*$K$7))*$D30 =POWER(10,-$T$13)+$H30+$130+$J30+$K30+$L30+$M30 =$O51631 !=3.512E-20/$B $3*($K$4*0.95+$K$5)* If-ExP(-$ H$5*$ H$8))/$H$ 5*(1 -ExP(-$ H$6*$K$7))*$D31 =POWER(1 0, -$T$13)+$ H31+$131+$J 31+$K31+$L31+$M 31 =$O$1632 =3.512E-20/$B$3*($K$4 *0.95+$K$5)*(1 -ExP(-$H $5*$H$8))/$ H$ 5*(1 -ExP(-$ H$6*$K$7))* $032 =POWER(l0, -$T$13)+$ H32+$132+$J 32+$K32+$L32+$M 32 =$O$1633 =3.512E-20/$B $3*($K$4 *0.95+$K$5)*(1 -ExP(-$H $5*$H$8))/$ H$5*(1 -ExP(-$ H$6*$K$7))*$033 =POWER(lO0,-$T$1 3)+$ H33+$133+$J 33+$K33+$L33+$M 33 =$O$1634 =3.512E-20/$B$3*($K$4 *0.95+$K$5)*(1 -ExP(-$H $5*$H$8))/$H$5*(1 -ExP(-$ H$6*$K$7))*$D34 =POWER(1 0,-$T$13)+$H34+$134+$J34 +$K34+$L34+$M34 =$O$1635 =3.512E-20/$B$3*($K$4 *0.95+$K$5)*(1 -ExP(-$H $5*$H$8))/$H$5*(1 -ExP(-$ H$6*$K$7))* $D35 =POWER(1 0,-$T$13)+$H35+$135+$J35+$K35+$L35+$M35 =$O$16

3637

39

40

46

4243

4445

4647,48

4950

L-003064, Rev. 1, Attachment D, Page D3 of 013

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LASALLE GENERATING STATIONTRANSIENT POOL pH CALCULATION

P Q R S T U1 pH TRANSIEP BEGINNING OF CYCLE

2 Cable Data '2

3 9063064 Cable Surface [Trays] - DRYWELL [cm2]

4 =$P$3"0.05 Cable Surface [Free air] - DRYWELL [cm2]

5 =P6"0.05 Cable Surface [Free air] - Supp. Pool [cm2]

6 0 Cable Surface [Trays] - Supp. Pool [cm2j7

8 pH EFFECT

9

10

11 Total [OH+] -LOG(Kw) Root x uet [H+j pH Ka12 g-ions/liter g-ions/liter Before SLC C 4

13 =POWER(10,-14)/POWER(10,-$T$13)+$O13 =15.5129-0.0224*$B13+0.00003352*POWER(613,2) =(N13+P13-SQRT(POWER(($N13+$P13),2)-(4*(N13*P13-POWER(10,-$Q13)))))/2 =$N13-$Ri3 5.3 =(0.0585"B13+1.309)/1000000000014 =POWER( 10,-14)/POWER(10,-$T$13)+$014 =15.5129-0.0224"$B14+0.00003352*POWER(B14,2) =)Nl4rPi4-SORT(POWER(($Nl4.$Pl4).2)-(4*)Nl4*Pl4-POWER(i 0.-$Q14)))))/2 =$N14-$R14 1=-LOGO($Sl4) I=)0.0585*B14+i .309)/10000000000

15 I=POWER)10,-i4)POWER(i 0,-$T$i 3)s$i ] 1 5.S29-02 24? B51 00352PWRB52 V 5)N SP15-116 1-'POWER)1,-4)IPOWER)10,- $ 2.13)$16 N51=1 SS29HO.224*$Bl +0.00003352 PWR)Bi62) J =)N16cP16-17 j=POWER)10,-14)/POWER)10,.$T$1 3)u$017 1 =15.5i29-0.0224*$Bi7r0.00003352*POWER(B17,2) 1 =(N17+Pl 7-,'

'15),2)-(4*(N15P15-POWER(10,-$Q15)))))/2 I$N 5-$R1 =-LOG10($S1 5) =(0.0585"B155+1.309)/10000000000P 16),2)-(4"(N16*P16-POWER(10,-$Q16)))))/2 =$N16-$R6 S I=-LOG 1O0$S1i6) I[=)0.0585*Bl 6+i .309)/10000000000P1 7),2)-(4-)Nl7*P7-POWER)1 0,-$Q17)))))12 1=$N17-$R1 7]L-~i~57 =).561Bi7+i.309)/i

18 I=POWER)10,-14)/POWER)10,-$T$i 3)+$018 1=15.5129-0.0224*$Bi9.0.00003352*POWER)B18,2) =(N18+P1 P 18)2)-(4"(N18*P18-POWER( 10.-$Q18)))))/219 =POWER(10,-14)/POWER(10,-$T$13)+$019 3 =15.5129-0.0224"$B3120 =POWER(10,-14)/POWER(lO,-$T$13)+$O20 =15.5129-0.0224"$B2C

21 =POWER(10,-14)/POWER(10,-$T$13)+$021 =15.5129-0.0224"$B2122 =POWER(10,-14)/POWER(10,-$T$13)+$022 =15.5129-0.0224"$B2223 =POWER(10,-14)/POWER(10,-$T$13)+$023 =15.5129-0.0224"$B2324 =POWER(10,-14)/POWER(10,-$T$13)+$024 =15.5129-0.0224'$B2425 =POWER(10,-14)/POWER(10,-$T$13)+$025 =15.5129-0.0224"$B2526 =POWER(10,-14)/POWER(10,-$T$13)+$326 =15.5129-9.0224"$B2E27 =POWER(lO,-14)IPOWER(lO,-$T$13)+$027 =15.5129-0.0224"$B2728 =POWER(10,-14)/POWER(10,-$T$13)+$O28 =15.5129-0.0224"$B2E29 =POWER(10,-14)/POWER(10,-$T$13)+$O29 =15.5129-0.0224"$B2E30 =POWER(10,-14)/POWER(10,-$T$13)+$O30 =15.5129-0.0224"$B3(•31 =POWER(10,-14)/POWER(1O,-$T$13)÷$O31 =15.5129-0.0224"$B3132 =POWER(10,-14)/POWER(10,-$T$13)+$O32 =15.5129-0.0224-$B3233 =POWER(10,-14)/POWER(10,-$T$13)+$O33 =15.5129-0.0224"$B3334 =POWER(10,-14)/POWER(10,-$T$13)+$O34 =15.5129-0.0224*$B3435 =POWER(10,-14)/POWER(10,-$T$13)+$O35 =15.5129-0.0224"$B35

3637

39

,F=$N18-$R18 =-LO1 0$S18) =(0.0585"B18+1.309)/i=$N19-$R1 9 ~=-LOG10($S19) =0.0585B19+1.309)/i=$N20-$R20 I =-LOG1 0$S20) =)0.0585"B20+1.309)/1

,,-$Q23)))))/2 =$N23-$R23 [=-L

_$1,-502)NI))2 U$N24-$R24 1==)0.0585*B25+i .3=(0.0585*B26+i .3

)-(4*(N25'P25-POWER(10)-)4')N26-P26-POWER(i0,-$Q26)))))/2 1N5$2 =)-(4*(N27*P27-POWER(10,-$Q27)))))/2 =$N27-$R27 l-LOGO(O$S27) I=)0.0585*B27.i .309)/10000000000)-)4)(N28*P28-POWER(i0,.$028)))))/2 1=$N28-$R28 I-LOG10)$S28)1=)0-0585*B298i .309)/i0000000000

=)N29vP29-SQRT(POWER(($N29.$P29),2)-)4*N29*P29-POWER(10,-$Q29)))))/2 =$N29-$R29 =LOG10($S29) =(0.0585"B29+1.309)/100000000001=)N30vP30-SQRT(POWER))sN30+$P30),2)-)4*(N30*P3o-POWER(10,-$Q30)))))/2 I=$N30-$R30 I=-LOGiO)$530)1=)0.0585*B3051 .309)/i 0000000000

1,2) =)N31 .P31 -SORT(POWER(($N31+$P31 ),2)-(4)(N31*P31-POWER(i0,-$031 )))))/2 =$N3i-$R31 I =LOG10)$S31)1I)0.0585*B31i .309)/10000000000.2) --)N32.P32-SQRT(POWER(($N32.8P32),2)-)4*(N32*P32-POWER)10,-$Q32)))))/2 1=$N32-$R32 LOi$32=00652i.0)/

3,2) =)N33+P33-SORT)POWER~$N33r$P33),2)-)4')N33'P33-POWER)i0,-$O33)))))/2 =$N33-$R33 1=-LOG10($S33)9,2) --)N34ý+P34-SORT(POWER(($N34.$P34),2H(4*)N34'P34-POWER)1 0,-$Q34)))))/2 1=$N34-$R34 1-LOGiO $S34 1=

(0.0585"B33+1.309)/i(0.0585"B34+ 1.309)/i(0.0585"B35+1.309)/i5,2) =(N35.P35-SORT(POWER(($N35v$P35),2)-)4*(N35*P35-POWER(i 0,-$Q35)))))12 =$N35-$R35 =-LOG10($S35) z

404142

4344

45464748

L-003064, Rev. 1, Attachment D, Page D4 of D13

Page 123: Calculation L-003-64, 'Suppression Pool pH Calculation for ... · Exelon Reviewer: 'f"7 , ... Documents List (ADL) for the associated Configuration Change'? Do the sources of inputs

LASALLE GENERATING STATIONTRANSIENT POOL pH CALCULATION

V X y Z AA

1

2

3

4 ='Available B g. mols

5 =Available B g.atom:

6

7a OF ADDITION OF SODIUM PENTABORATE STANDBY LIQUID CONTROL [SLC] SOLUTION9

10 Strong Acid11 g-equiv. oO,6*1 Borate Boric Acid pK. pH12 et [H+]* Vpo, g-mols g-equiv. g-equiv. -IogloK. 113 =S13"$B$3 =$V$4 =W13*2-V13 =W13*8+V13 =-LO =1O(U13) =Z13+LOG10((X13/$B$3)I(Y13/$B$3))14 =S14"$B$3 =$V$4 =W14*24V14 =W14'8+VI4 =-LOG1O(U14) =Z14+LOG10((XI41$B$3)/(Y14/$B$3))15 =S15"$B$3 =$V$4 =W15*2V15 =W15*8+V15 =-LOG10(U15) =Z15+LOG10((X151SB$3)I(Yl51$B$3))16 =S6"$B$3 =$V$4 =W16*2-V16 =W16*8+V16 =-LOG10(U16) =Z16+LOG10((X16I5B$3)I(Yl61$B$3))17 =S17"$B$3 =$V$4 =W17*2-V17 =W17*8+VI7 =-LOGO1(U17) =Z17+LOG10((XI715B$3)/(Y17(5B$3))18 =$i8"$B$3 =$V$4 =W18*2-V18 =W18*8+V18 =-LOG10(U18) =ZI+LOG1O((X1$ISB$3)f(Y18f$B$3))19 =S19"$B$3 =$V$4 =W19*2-Vl9 =W19*8+Vl9 =-LOG10(U19) =Z19+LOG10((X191$B$3)I(Y19I$B$3))20 =S20"$B$3 =$V$4 =W20*2-V20 =W208-+V20 =-LOG10(U20) =Z20+LOG1I((X2I/SB$3)I(Y20O$B$3))21 =S21"$B$3 =$V$4 =W21*2-V21 =W21*8+V21 =-LOG10(U21) =Z21+LOG10((X21/$B$3)I(Y211$B$3))22 =S22"$B$3 =$V$4 =W22*2-V22 =W22"8+V22 =-LOG10(U22) =Z22÷LOG10((X22/$B$3)/(Y22/$B$3))23 =S23"$B$3 =$V$4 =W23*2-V23 =W23*8+V23 =-LOG10(U23) =Z23+LOG10((X2315B$3)I(Y231$B$3))24 =S24"$B$3 =$V$4 =W24*2-V24 =W24*8+V24 =-LOG10(U24) =Z24+LOG10((X24/$B$3)/(Y241$B$3))25 =$25"$B$3 =$V$4 =W25*2-V25 =W25*8+V25 =-LOG10(U25) =Z25+LOG10((X2515B$3)I(Y251$B$3))26 =$26"$B$3 =$V$4 =W26*2-V26 =W26*8+V26 =-LOG10(U26) =Z26+LOG10( X261$5B$3)I(Y261$B$3))27 =$27"$B$3 =$V$4 W27*2-V27 =W278+V27 =-LOG10(U27) =Z27÷LOG10((X27I$B$3)t(Y271$B$3))28 =$28"$B$3 =$V$4 W28*2-V28 =W28*8+V28 =-LOG10(U28) =Z28+LOG10((X2815B$3)I(Y28I$B$3))29 =$29"$B$3 =$V$4 =W29*2-V29 =W29*8+V29 =-LOGO1(U29) =Z29+LOG10((X29/5B$3)I(Y29I$B$3))30 =S30"$B$3 =$V$4 =W30*2-V30 =W30*8+V30 =-LOG10(U30) =Z30+LOGIO((X30O$B$3)/(Y30O$B$3))31 =$31"$B$3 =$V$4 =W31*2-V31 =W31*8+V31 =-LOG10(U31) =Z31÷LOG10((X311$B$3)I(Y311$B$3))32 =$32"$B$3 =$V$4 =W32*2-V32 =W32*8+V32 =-LOG10(U32) =Z32+LOG10((X32/$B$3)/(Y32/$B$3))33 =$33"$B$3 =$V$4 =W33*2-V33 =W33*8÷V33 =-LOG10(U33) =Z33+LOG1O((X3315B$3)I(Y331$B$3))34 =S34"$B$3 =$V$4 =W34*2-V34 =W34*8+V34 =-LOG10(U34) =Z34+LOG10((X34/$B$3)I(Y341$B$3))35 =$35"$B$3 =$V$4 =W35*2-V35 =W35*8+V35 =-LOG10(U35) =Z35+LOG1O((X3515B$3)I(Y35/$B$3))363738394041 ____

42434445464748

501O

L-003064, Rev. 1, Attachment D, Page D5 of D13

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LASALLE GENERATING STATIONTRANSIENT POOL pH CALCULATION

A B C D E

1 LaSalle pH CALCULATION

2

3 VPOOL =(131900+22712)'28.3168 Liters [131900+22712 ft3] 13

4 m, =290 Iodine inventory [g-atoms] EOC'0

5 mc =3200 Cesium inventory [g-atoms] EOC"

6 t6ap =121/3600 Onset of Gap release [hrs] o

7"8

9 INTEGRATED DOSES

10 Beta+Gammala Gamma'8 Beta"s

11 TIME POOL Temp POOL DRYWELL DRYWELL

12 Hours Deg F Mrad MeV/cm3 - feýV/cm

13 0 8014 117515 2 187 0.114350690881495 3790880503691 1657791983720.3

16 =0.5+1.5+B6 188 0.119239216805713 3948701086072.37 1726980020148.44

17 3 192 0.246503758693045 8018164351599.42 3534749118108.12

18 5 196.1 0.455565662635391 14422612584938.7 6513016665673.48

19 12 196.1 0.947321614636899 27577220707280.2 13614438264713.920 18 196.1 1.24035312656345 34442170719290.2 18024890934106.9

21 24 196.1 1.47540965485085 39713693242271.1 21681328090223.4

22 48 196.1 2.15094766131462 54698635664437.7 32668988446125.123 72 196.1 2.64394690696364 65885535777661.8 40916807890604.8

24 96 196.1 3.05810702190641 75459953398150.9 47805167716688.525 120 196.1 3.4287336546583 84077551764018.3 53810095454120.126 150 196.1 3.85395425802565 93929699467813.7 60406887098065.227 200 196.1 4.50070070908295 108719574927709 69714909824775.228 240 196.1 4.97707764028497 119428235673629 75986070859729.3

29 300 196.1 5.63835110881547 134037703829197 83899590931009.830 360 196.1 6.2475454026586 147264238135522 90440778258257.231 400 196.1 6.62970632166082 155465936395942 94215137770998.632 480 196.1 7.34682314059028 170699608182561 10070335687221733 600 196.1 8.33040031237555 191367734998598 10858114716070134 700 196.1 9.08760106603799 207188024321776 11405018119430135 720 196.1 9.23367503333038 210236350018260 115059763356440

36137 NOTES:38 1 Entergy Eng. Report GGNS-98-0039 Rev.3, Equation 3-1d [30+90 min release duration]39 2 Ibid, Equation 3-2b40 3 Ibid, Equation 3-4d [30+90 min release duration]41 4 Ibid, Table A-1

42 5 Ibid, Equation 3-3a

:4347

3-3b3-5a; Enteroy Calc. XC-Q1111-98013 Rev.2, Section 5.7

458 Ibid, Equation 3-5b; Entergy Calc. XC-Q1111-98013 Rev.2, Section 5-7469 Ibid. Equation 3-0a; Enteroy CaIc. XC-Q1111-98013 Rev.2. Section 5-7

!, Section 5-7

I..Section 5-7bid,. Equation 3-, ,.2, Section 5-7

Bases B 3.6.2.2 clus the 22712 fros___c1r~. ~

L-003064, Rev. 1, Attachment D, Page D6 of D13

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LASALLE GENERATING STATIONTRANSIENT POOL pH CALCULATION

F G

1 PH TRANSIENT END OF CYCLE

2 Linear Absorption Coefficients 4

3 Ueta air

4 Ubeta hypaln

5 Uga iaar

6 Uga-ma hypalor

7 r -aa pfratRY-ORWELL1

8 r [ga ma f- ra-UPP POOL AIR] 16

10 Gamma"8

Beta"11 Supp Pool AIR Supp Pool AIR12 MeV~cm3 MeV/cm'131415 3790880503691 1657791983720.316 3948701086072.37 1726980020148.4417 8018164351599.42 3534749118108.1218 14422612584938.7 6513016665673.4819 27577220707280.2 13614438264713.920 34442170719290.2 18024890934106.921 39713693242271.1 21681328090223.422 54698635664437.7 32668988446125.123 65885535777661.8 40916807890604.824 75459953398150.9 47805167716688.525 84077551764018.3 53810095454120.126 93929699467813.7 60406887098065.227 108719574927709 69714909824775.228 119428235673629 75986070859729.329 134037703829197 83899590931009.830 147264238135522 90440778258257.231 155465936395942 94215137770998.632 170699608182561 10070335687221733 191367734998598 10858114716070134 207188024321776 11405018119430135 210236350018260 11505976335644036

37 1438 " 1539 1640 1741 1842 1943 2044 2145 2246-4748

50

L-003064, Rev. 1, Attachment D, Page D7 of D13

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LASALLE GENERATING STATIONTRANSIENT POOL pH CALCULATION

H

2 SA., [cm2

]

3 0.0198 1/cm SA. [cm2

]

4 52.08 1/cm S. .a [cm)]

5 0.0000375 1/cm Sef. [cm2]

6 0.099 V/cm

7 1145.4 cm th (cm]

8 1145.4 cm

9

10 From Beta

11 [HI} [HNO3] 2 [HCL] -DRYWELL

12 g-mols/liter g-moo/liter g-mols/liter

13 014 =$B$4/(120"$B$3)*($A14-(0.5+$B$6))÷$B$4/(400*$B$3)15 =$B$4/(120*$B$3)*($A15-(0.5+$B$6))+$B$4/(400 $B$3) =0.0000073"$C15 =3.512E-20/$B$3*($K$2-0.95/2+$K$3)/$H$3-$E15

16 =$B$41(120*$B$3)*($A16-(0.5+$B$6))+$B$41(400:$B$3) =0.0000073"$C16 =3.512E-20/$B$3*($K$2*0.95/2+$K$3)/$H$3*$E1617 =H$16 =0.0000073"$C17 =3.512E-20/$B$3*($K$2"0.95/2+$K$3)/$H$3*$E1718 =H$16 =0.0000073*$C18 =3.512E-20/$B$3*($K$2*0.95/2+$K$3)/$H$3*$E1819 =H$16 =0.0000073*$C19 =3.512E-20/$B$3*($K$2*0.95/2+$K$3)/$H$3*$E19

20 =H$16 =0.0000073"$C20 =3.512E-20/$B$3*($K$2*0.95/2+$K$3)/$H$3*$E2021 =H$16 =0.0000073$C21 =3.512E-20/$B$3*($K$2*0.95/2+$K$3)/$H$3*$E2122 =H$16 =0.0000073"$C22 =3.512E-20/5B$3*($K$2O.95/2+$K$3)/$H$3$E22

23 =H$16 =0.0000073"$C23 =3.512E-2015B$3*($K$2O.95/2+$K$3)/$H$3$E2324 =H$16 =0.0000073*$C24 =3.512E-20/$B$3*($K$2*0.95/2+$K$3)/$H$3*$E2425 =H$16 =0.0000073*$C25 =3.512E-20/5B$3*($K$2*0.95/2+$K$3)/$H$3*$E2526 =H$16 =0.0000073S$C26 =3.512E-20/$B$3*($K$2*0.95/2+$K$3)/$H$3*$E2627 =H$16 =0.0000073$C27 =3.512E-20/5B$3($K$2O.95/2+$K$3)/$H$3*$E2728 =H$16 =0.0000073"$C28 =3.512E-20/5B$3*($K$2*O.95/2+$K$3)/$H$3*$E2829 =H$16 =0.0000073"$C29 =3.512E-20/$B$3*($K$2"0.95/2+$K$3)/$H$3*$E2930 =H$16 =0.0000073"$C30 =3.512E-20/$B$3*($K$2*0.95/2+$K$3)/$H$3*$E3031 =H$16 =0.0000073S$C31 =3.512E-20/$B$3*($K$2*0.95/2+$K$3)/$H$3*$E3132 =H$16 =0.0000073"$C32 =3.512E-201$B$3*($K$2*0.95/2+$K$3)/$H$3*$E3233 =H$16 =0.0000073*$C33 =3.512E-20/$B$3*($K$2*0.95/2+$K$3)/$H$3*$E3334 =H$16 =0.0000073"$C34 =3.512E-20/$B$3*($K$2*0.95/2+$K$3)/$H$3*$E3435 =H$16 =0.0000073*$C35 =3.512E-20/$B$3*($K$2*0.95/2+$K$3)/$H$3*$E35

3637 Acid dissociation constant from: Entergy Eng. Report GGNS-98-0039 Rev.3, Sect.6.1,p.21

38 Entergy CaIc. XC-O 1111-98013 Rev.2, Section 5.739 See attachment B for gamma free paths40 LSCS UFSAR Rev. 17, Figure 6.2-7a, with 105 initial Temp. per Section 6.2.1.8

41 Attachment B42 Attachment B43 USNRC Reg. Guide 1.183

44 Page C6 of this attachment45 Cable Data from Attachment A.

4647

49

50O

L-003064, Rev. 1, Attachment D, Page D8 of D13

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LASALLE GENERATING STATIONTRANSIENT POOL pH CALCULATION

K L M

1 Cable Data z

2 =$P$3-1.1 Cable Surface [trays]- Drywell + 10% contingency

3 =$P$4"1.1 Cable Surface [free air]- Drywell A 10% contingency

4 =$P$6"0.95"1.1 Cable Surface [trays] - Supp. Pool + 10% contingency

5 =P6"1.1"0.05 Cable Surface [free air] - Supp. Pool + 10% contingency

67 0.61173 Hypalon Jacket Thickness

89

10 From Gamma From Beta From Gamma11 [HCL] -DRYWELL' [HCL] -CONTAIN [HCL] -CONTAIN'

12 g-molslliter g-mols/liter g-mols/liter131415 =3.512E-20/$B$3*($K$2*0.95+$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D15 =3.512E-20I5B$3*($K$4*0.95I2+$K$5)/$H$3*$E15 =3.512E-20/$B$3*($K$4*0.95+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*(1-EXP(-$H$6-$K$7))-$D1516 =3.512E-20/$B$3*($K$2*0.95+$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D 16 =3.512E-201$B$3*($K$4*0.95/2+$K$5)I$H$3*$E16 =3.512E-20/$B$3*($K$4*0.95+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*(1-EXP(-$H$6*$K$7))*$D1617 =3.512E-20/$B$3*($K$2*0.95+$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D17 =3.512E-20/$B$3*($K$4*0.95/2+$K$5)/$H$3*$E17 =3.512E-20/$B$3*($K$4*0.95+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*(1-EXP(-$H$6*$K$7))*$D1718 =3.512E-20/$B$3*($K$2*0.95+$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D18 =3.512E-2015B$3*($K$4*O.9512+$K$5)/$H$3*$E18 =3.512E-20/$B$3*($K$4*O.95$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*(1-EXP(-$H$6*$K$7))*$D1819 =352••$$*$$*•5$$)(-•($H5$$)/H5(•x($$*K7)$1 =3.512E-20/$B$3*($K$4*0.95/2+$K$5)/$H$3*$E19 =3.512E-20/$B$3*($K$4*O.95+$K$5)*(1-EXP(-$H$5'$H$8))/$H$5*(1-EXP(-$H$6$K$7))*$D1 9

20 =3.512E-20/$B$3*($K$2*0.95+$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D20 =3.512E-20/$B$3*($K$4*0.95/2+$K$5)/$H$3*$E20 =3.512E-20/$B$3*($K$4*0.95+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*( -EXP(-$H$6*$K$7))*$D2021 =3.512E-20/$B$3*($K$2*0.95+$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$021 =3.512E-20/$B$3*($K$4*0.95/2+$K$5)/$H$3*$E21 =3.512E-20/$B$3*($K$4*0.95+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*(1-EXP(-$H$6*$K$7))*$D2122 =3.512E-20/$B$3*( K$2*0.95+$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$t22 =3.512E-20/$B$3*($K$4*0.95/2+$K$5)/$H$3*$E22 =3.512E-20/$B$3*($K$4*0.95+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*(1-EXP(-$H$6*$K$7))*$D2223 =3.51 2E-20/$B$3*($K$2*0.95+$K$3)*(1-ExP(-$H$5*$H$7))/$H$5*(1-ExP(-$H$6*$K$7))*$024 =3.512E-20/5B$3*($K$4*O.9512+$K$5)/$H$3*$E24 =3`5120-20/$B$3*($K$4*.95+$K$5)*(1 -ExP(-$H$5*$H$8))/$H$5*(1-ExP(-$H$6*$K$7))*$D2424 =3.512E-20/$B$3*($K$2*0.95+$K$3)*(1-ExP(-$H$5*$H$7 ))$H$5*(1-•ExP(-$H$6*$K$7))*$D25 =3.512E-2015B$3*($K$4*O.95/2+$K$5)/$H$3*$E25 =3.5126-20/$B$3*($K$4*O.95+I$K$5)(1 1-EXP(-$H$5*$H$8))/$H$5*( 1-EXP(-$H$6*$K$7))*$D2525 =3.512E-20/$B$3*($K$2*0.95+$K$3)•(1-ExP(-$H$5*$H$7))/$H$5*(1-ExP(-$H$61$K$7))*$D26 =3.51 2E-20/5$S3*($K$4*O.95/2+$K$5)/$H$3*$E26 =3.5120-20/$B$3*($K$4*0.95+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*(1-EXP(-$H$6*$K$7))*$D2526 =3.512E-20/$6$3*($K$2*0.65+$K$3)*( 1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D27 =3.51 2E-2015B$3*($K$4*O.9512+$K$5)/$H$3*$E27 =3 512E-20/$B$3*($K$4*.95+$K$5)*(1-ExP(-$H$5S$H$8))/$H$5*(1-ExP(-$H$6*$K$7))*$D26

27 =3.512E-20/$B$3*$K$2*0.95+$K$3)( 1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D28 =3.51 2E-2015B$3*($K$4*O.9512+$K$5)/$H$3*$E28 =3.512E-20/5653*($K$4*0.95+$K$5)*( 1-EXP(-$H$5*$H$8))/$H$5*( 1-EXP(-$H$6*$K$7))*$D2728 =3.512E-20/$B$3*($K$2*0.95+$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D28 =3.51 2E-20/5B$3($K$4O.9512÷$K$5)/$H$3*$E2 =3.512E-20/$B$3*($K$4*0.95+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*(1-EXP(-$H$6*$K$7))*$D2829 =3.512E-20/$B$3*($K$2*0.95+$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D32 =3.512E-20/5B$3*($K$4*0.95/2+$K$5)/$H$3*$E27 =3.512E-20/$B$3*($K$4*0.95+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*(1-EXP(-$H$6*$K$7))*$D272 30 5 =.51 2-20/B$3($$4K$95/2*K$5)$HS3130 3512E 0/$B3 ($K'PO.5rSK$)(1 EXP(-H$5$S8))/H$5(-EXP($H$65K$7f$$D3

31 =3.512E-20/$B$3*($K$2*0.95+$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D31 =3.512E-20/$B$3*($K$4*0.95I2+$K$5)/$H$3*$E33 =3.512E-20/$B$3*($K$4*0.95+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*(1-EXP(-$H$6*$K$7))*$D33

34 =3.512E-20/$B$3*($K$2*0.95+$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*( 1-EXP(-$H$6*$K$7))*$D34 =3.512E-201$B$3*($K$4*0.9512+$K$5)/$H$3*$E34 =3.512E-20/$B$3*($K$4*0.95+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*(1-EXP(-$H$6*$K$7))*$D34

35 =3.512E-20/$B$3*($K$2*0.95+$K$3)*(1-EXP(-$H$5*$H$7))I$H$5*(1-EXP(-$H$6*$K$7))*$D35 =3.512E-20/$B$3*($K$4*0.95/2+$K$5)I$H$3*$E35 =3.512E-20/$B$3*($K$4*0.95+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*(1-EXP(-$H$6*$K$7))*$D35363738

39404142434445464748491501

L-003064, Rev. 1, Attachment D, Page D9 of D13

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LASALLE GENERATING STATIONTRANSIENT POOL pH CALCULATION

1N 0 P

2 Cable Data

3 9063064 Cable Surface [Trays] - DRYWELL [cm2l

4 =$P$3*0.05 Cable Surface [Free air] - DRYWELL [cm2]

5 =P6*0.05 Cable Surface [Free air] - TORUS [cm2]

6 0 Cable Surface [Trays] - TORUS [cm2]

78

1 0

11 Total [H+] [CsOH] Total [OH+I -LOG(Kw)

12 g-ions/liter g-mols/liter g-ions/liter13 =POWER(10,-$T$13 )+$H13+$113+$J13+$K13+$L13+$M13 0 =POWER(10,-14)/POWER(10,-$T$13)+$013 =15.5129-0.0224*$B13+0.00003352*POWER(B i3,2)14 =POWER(10,-$T$13)÷$H14+$114+$J14+$K14+$L14+$M14 =(0.4*$B$5-0.475*$B$4)/(3*$B$3)*($A14-(0.5+$B$6))+(0.O5*$B$5-0.0475*$B$4)/$B$3 =POWER(10,-14)/POWER(10,-$T$13)+$O14 =15.5129-0.0224"$B 14+0.00003352*POWERIB 14,2)15 =POWER(l 0,-$T$13)+$H1 5+$115+$JI5+$K1 5+$L1 5+$M15 =(0.4*$B$5-0.475*$B$4)/(3*$B$3)*($A15-(0.5+$B$6))+(0.05*$B$5-0.0475*$B$4)/$B$3 =POWER(10,-14)/POWER(10,-$T$13)+$015 =15.5129-0.0224*$B15+0.00003352*POWER(B1 5,2)16 =POWER(10,-$T$13)+ $H1 6+$116+$JS16+$K1 6+$L16+$M16 =(0.4*$B$5-0.475*$R$4)/(3*$B$3)*($A16-(0.5+$B$6))+(0.05*$B$5-0.0475*$B$4)/$B$3 =POWER(10,-14)/POWER(10,-$T$13)+$016 =15.5129-0.0224*$B1860.00003352*POWER(B16,2)17 =POWER( 10,-$T$13)÷$H 17+$117+$J17+$K17+$L17+$M 17 =$O$16 =POWER(10,.-14)/POWER(10,-$T$13)+$017 =15.5129-0.0224*$B17c0.00003352*POWER(B 17,2)18 =POWER(10,-$T$13)+$H 18+$118+$J18+$K18+$L18+$M 18 =$O$16 =POWER(10,-14)/POWER(10,-$T$13)+$018 =15.5129-0.0224*$B18+O.00003352'POWER(B 18,2)19 =POWER(10,-$T$13)+$H 19+$119+$J19+$K19+$L19+$M 19 =$O$16 =POWER(10,-14)/POWER(10,-$T$13)+$019 =15.5129-0.0224*$B19+O.00003352*POWER(B 19,2)20 =POWER(10,-$T$13)+$H20+$120+$J20+$K20+$L20+$M20 =$O$16 =POWER(10,-14)/POWER(10,-$T$13)+$020 =15.5129-.0224*$B20O+0.003352*POWER(620,2)21 =POWER(10,-$T$13)+$H21+$121+$J21+$K21+$L21+$M21 =$O$16 =POWER(10,-14)/POWER(10,-$T$13)+$021 =15.5129-0.0224*$B21+0.00003352*POWER(B21,2)22 =POWER(10,-$T$13)c$H22+$122+$J22+$K22+$L22+$M22 =$O$16 =POWER(10,-14)/POWER(10,-$T$13)+$022 =15.5129-0.0224"$B22÷0.00003352"POWER(B22,2)23 =POWER(10,-$T$13)+$H23+$123+$J23÷$K23+$L23+$M23 =$O$16 =POWER(10,-14)/POWER(10,-$T$13)+$023 =15.5129-0.0224*$B23+0.00003352*POWER(B23,2)24 =POWER(10,-$T$13)+$H24+$124+$J24+$K24+$L24a$M24 =$O$16 =POWER(10,-14)/POWER(10,-$T$13)+$024 =15.5129-0.0224*$B24s0.00003352*POWER(B24,2)25 =POWER(10,-$T$13)+$H25+$125+$J25+$K25+$L25+$M25 =$O$16 =POWER(10,-14)/POWER(10,-$T$13)+$025 =15.5129-0.02241$B25÷0.00003352*POWER(B25,2)26 =POWER(10,-$T$13)+$H26+$126+$J26+$K26+$L26+$M26 =$O$16 =POWER(10,-14)/POWER(10,-$T$13)+$026 =15.5129-0.0224*$B26=0.00003352"POWER(B26,2)27 =POWER( 10,-$T$13)+$H27+$127+$J27+$K27+$L27+$M27 =$O$16 NPOWER10,-14)/POWER(10,-$T$13)+$027 15.5129-0.0224*$27+.00003352*POWER(B27,228 =POWER(10,-$T$13)+$H28+$128+$J28+$K28+$L28+$M28 =$O$16 =POWER)10,-14)IPOWER(10,-$T$13)+$028 =15.5129-0.0224*B28.0.00003352POWER(628,2)29 =POWER(10,-$T$13)+$H29+$129+$J29+$K29+$L29+$M29 =$O$16 I=POWER(10,-14)/POWER(10,-$T$13)+$029 =15.5129-0.0224*$B29c0.00003352*POWER(B29,2)30 =POWER(10,-$T$13)+$H30+$130+$J30+$K30+$L30+$M30 =$O$16 I=POWER(10,-14)POWER(10,-$T$13)+$030 =15.5129-0.0224*$B30+0.00003352*POWER(B30,2)31 =POWER(10,-$T$13)+$H31+$131+$J31+$K31+$L31+$M31 =$O$16 IPOWER10,-14)IPOWER(10,-$T$13)+$031 =15.5129-0.0224"$B31 0.00003352"POWER(B31,2)32 =POWER(R10,-$T$13)+$H32R$132+$J32+$K32+$L32+$M32 =O32,2)33 =POWER(,-$T$13)+$H33+$133+$J33+$K33+$L33+$M33 =$O$16 =POWER(10,-14POWER(10,-$T$13)+$33 29.022433O.00003352PWER33,2)34 =POWER(10,-$T$13)+$H34+$34+$J34+$K34+$L34+$M34 =$O16 =POWER10,-14)YPOWER(10,-$T$13)+$O34 =15.5129-O.0224*$B34+0.00003352*POWER(B34,2)35 =POWER(10,-$T$13)+$H35+$t35+$J35+$K35÷$L35+$M35 =$O516 =POWER( 10,-14)IPOWER(10,-$T$13)+$035 =15.5129-0.0224*$B35+O.00003352*POWER(B35,2)363738391

40

4142434445464748

149

1501

L-003064, Rev. 1, Attachment D, Page D10 of D13

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LASALLE GENERATING STATIONTRANSIENT POOL pH CALCULATION

R S T U V W X Y

1 ~~~~~~~~pH TRANSIENT END OF CYCLE________ ________ ____ _________

2

3

4 ='Available Boron'ICiS g. mols Na2B,oO,6*10H20 Added

5~~ ='Available Boront!C20 g~atoms total boron

67 ______________

8 ~pH EFFECT OF ADDITION OF SODIUM PENTABORATE STANDBY LIQUID4

10 Strong Acid11 Roots N u1 et ý[Hfl pH K9 -eqoiv. Na2BlOl,*lH0H, Borate Boric Acid12 g-ions/Iiter Before SLC Net [H+] WOO g-mols g-equiv. g-eqaiv.13 =(N 13.P13-SQRT(POWER(($Nl 3.$Pl 3),2)-(4*(N13*P13-POWER(10,-$Q13)))))/2 =$N13-$R13 5.3 =(0.0585*Bl301.309)110000000000 =S$3B$ V$4 -Wi Y2V1 3 =W1 3*8+Vl 314 =(N 1 4P1 4-SQRT(POWER(($N 1 4+$P 14),2)-(4(N 1 4*P1 4-POWER(1 0,-$Q 14)))))/2 =$N14-$R14 =-LOG10($S14) =I0.0585*B14+1 .309)/l10000000000 =54B3=$V$4 -Wi 4*2-14 =Wl4*8+V1415 =(N 1 5.-P1 5-SQRT(POWER(($N 1 5$P1 5),2)-(4*(N 1 5P1 5-POWER(l 0,-$Ql 5)))))/2 =$N1S-$R1S =-LOG1O($5`15) =(0.05BS5B1 5+1 .309)/10000000000 =S$5B$ V$4-W 2V1S W 8+S16 =(N 6.P16-SQRT(POWER(($N16+$Pl6),2)-(4*(N16*P1B-POWER(10,-$O1B)))))/2 =$N16-$Rl6 =-LOGIO($S`16) =(0.0585*B16+1 .309)/10000000000 =S 'B3=$V$4 WE-18=1~+117 =(N1 7cP17.SQRT(POWER(($N17c$P 7),2)-(4*(Nl7*Pl7-POWER(10,-$Ql7)))))I2 =$N17-$R17 =-LOG1O($517) =(0.0585*B17+1 .309)/10000000000 =S1 7*$B$3 =V4=W17*2-V1 7 I=Wl7*+V1718 =(Nl1 +PlB-SQRT(POWER(($Nl8r$P1 B),2)-(4*(N18*P18-POWER(10,-$O18)))))/2 =$4N18l-$R18 =-LOG1O($S18) =(0.0585*B18.1 .309)/10000000000 =S1&*$B$3 =$V$4- W8-18 W18+819 =(Nl19.P19-SQRT(POWER(($N19r-$P1 9),2)-(4*(N19*Plg-POWER(10,-$Q19)))))/2 =$N19-$R19 =-L0010($519) =(O.0585*B1901.309)/10000000000 =Sl9*$BS3 =$V$4 ~12V9 =1~c120 =(N20rP20-SORT(POWER(($N20r$P20),2)-(4*(N20*P20-POWER(10,-$Q20)))))/2 =N0$0 =LO1(2) =0.BB0+.3)/0000000000 =S20*$B$3 =$V$4 =W20*2-V20 =W20*8+V2021 =(N21+P21-SQRT(POWER(($N21 +$P21 ),2)-(4*(N21*P21-POWER(10,-$Q21 )))))/2 =$N21-$R21 =-O1(51 (.052 139/00000 S1~B3=$V$4 =W21 *2-V21 =W21 *8+V2122 =(N22.P22-SORT(POWER(($N22r$P22),2)-(4*(N22*P22-POWER(10,-$Q22)))))/2 =$N22-$R22 =L01C52 (0.0585*B22.1.309)/100000000O00 =S22*$B$3 =V4 . W22*2-V22 =W22*8+V2223 =(N23rP23-SORT(POWER(($N23+$P23),2)-(4*(N23*P23-POWER(I 0,-$Q23)))))/2 =$N23-$R23 =-LOG1O($S23) =(O05085*B23n1 .309)/10000000000 =S23*$B$3 =$V$4 =2~-2 W3.224 =(N24.P24-SORT(POWER(($N24+$P24),2)-(4*(N24*P24-POWER(10,-$Q24)))))/2 =$N24-$R24 =-L0010($524) =(0.0585*B24+1 .309)/10000000000 =S24*$B$3 =$V$4 W4-V4 =28e425 =(N25rP25-SORT(POWER(($N25r$P25),2)-(4*(N25*P25-POWER(10,-$025)))))/2 =$N25-$R25 =-LOG`1O($S25) .=(0.0585*B25r1.309)/10000000O00 =S25*$B$3 =$V$4 . =W25*2-V25 =W25*8+V2528 =(N26+P26-SQRT(POWER(($N26+$P26),2)-(4*(N26*P26-POWER(10,-$Q26)))))/2 =$N26-$R26 -O1(5E (.552+ 39/00000 S6$$ =$V$4 =W26*2-V26 =W2688rV2627 =(N27rP27-SQRT(POWER(($N27.r$P27),2)ý(4(N27*P27-POWER(10,-$O27)))))/2 =$N27-$R27 =-LOG10(SS27) =(0.0585*B27r1.309)/10000000000 =527*$B$3 $$ W7-2 W7+28 =(N28.P28-SORT(POWER(($N28+$P28),2)-(4*(N28*P28-POWER(10,-$028)))))/2 =$N28-$R28 =-LOG1O($S28) =(0.0585*B28r1 .309)/1 0000000000 =S28*$B$3 =V4=22V8 =2'.229 =(N29+P29-SORT(POW ER(($N29+$P29),2)-(4*(N29*P29-POWER(1 0,-$Q29)))) Y2 =$N29-$R29 =-LOO1O($S29) = (O.0585*B29r1.309)/1 0000000000 =529*$863 =$V$4 =W29*2-V29 =W29*8rV2930. =(N30+ P30-SQRT(POWE R(($N30+$P30),2)-(4*(N30*P30-POWER(10,-$030)))))/2 =$130-$R30 =-LOG1O($S30) = (0.0585*B30r1.309)/1 0000000000 =530*$863 =V4=3~-3 W0r

436

44

48

47

L-003064, Rev. 1, Attachment 0, Page D11 of D13

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LASALLE GENERATING STATIONTRANSIENT POOL pH CALCULATION

__ _ AA AS

2

3

4

5

67_

23 =-LOG10(Ul3) =Z13+LOG10((XI3/$B$3)/(Yl3/$B$3))214 =-LOG10(Ul4) =Zl4+LOG1O((Xl4/$B$3)/(Y24I$B$3))2L5 =-LOG10(Ul5) =ZI5.LOG1O((XI5/$B$3)/(Y251$B$3))2L6 =-LOG10(Ul6) =Zl6.LOGIO((X26/$6S3)/(Y261$B$3))27 1=-LOG10(Ul7) I=Zl7.LOGIO((Xl?/$B$3)/(Y271$B$3))28 1=-LOG10(Ul8) I=Z28.LOG1O((X281$BS3)/(Y281$B$3))29 1-LOG10(Ul9) I=Zl9.LOGIO((Xlg/$B$3)/(Y29I$B$3))20 1=-LOG10(U20) I=Z30+LOG10((X30/$BS3)/(Y301SB$3))31 1=-LOGO1U31) I=Z31+LOG1O((X21ISB$3)I Y31ISB$3))32 1=-LOG1O U322 =Z322LOG1O( x32J$BS3)/(Y321$BS3))33 1=-10G10(U33) =Z233LOG1O((X33/$BS3)I(Y233$BS3))34 1-LOO10 U34) I=Z24LOG1O((X24ISBS3)I Y3415B$3)35 1=-LOG10(U35) I=Z35.LOG10O X35/SBS3)I(Y35ISB$3))36 1-O1(2)IZ6LG0(2/B3/Y6$$)

391-O1(2)I=2+O1(X7$B3/Y7$$)

481=LG028 _______________________________________________

441-O1(2)I=2+O1(X9$B3/Y9$$)451-O1(3)I=3+O1(X0$B3/Y0$$)

4647 _______

48 _______

39

L-003064, Rev. 1 Attachment D, Page 012 of D13

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LASALLE GENERATING STATIONTRANSIENT POOL pH CALCULATION

A B C

2 Available Boron Calculation3 =131900*28.31684 quantity Volume Basis5

6 Volume of Solution (gal)= 4587 LSCS Technical Specification section 4.1.57 wt% of Na2B1O16IB10H20= 0.134 LSCS Technical Specification figure 3.1.5-18 Specific Gravity (gm/cm3)= =0.5"($B$7)+0.9985 Table CH-C-105-3 and Attachment C9 Conversion Factor (cm3/gal)= 3785.412

10 Conversion Factor (lbs/gm)= =(11453.59)11

12 Total Mass of Solution (lbs)= =B6*B8*B9*B10

13 Total Na2B1BO16*10H2O (lbs)= =B12*B714 Total Na2B1OO16*IOH2O (gm)= =B13/B1015 Total Na2B10016*1OH2O (gm-moles)= =B14/D2616 Total Boron (gm-moles)= 10B1517.

1819 Total Available Boron (lIbs) =B13*B3320 Total Available Boron (moles)= =(B19/B1O)/B272122 B-10 Enrichment= 0.1992324 Molar Mass Total Molar Mass of25 (gm/mole) Na2B10016 * 10H2026 Sodium 22.98977 =2"(B26)+10"(B27)+16*(B28)+10*((2*B29)+(1*(B28)))27 Boron =B30*(B22)+B31*(1-B22)2A Oxygen 15.999429 Hydrogen 1.0079430 Boron-10 10.012936931 Boron-11 11.00930543233 Percentage of Total Boron= 1=10*(B27)/D26

L-003064, Rev. 1, Attachment D, Page D13 of D13

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LASALLE GENERATING STATIONTRANSIENT POOL pH CALCULATION

I F G I K L I M I N1

2 Linear Absorption Coefficients ' LA 0 .y [b] 873.65 Cable Length [trays]- Zone A SLC [Ibs] 5800INa2BjoO1v Add

3 VpooL 3.735E1-06 Liters [Min.Tech Spec Basis B 3.6.2.2] UW.a r 1.980E-02• /cm LAf. [Ib] 873.65 Cable Length [free air]- Zone A

4 mr 325 Iodine inventory [g-atoms] Ubeta hypalm 52.08 1/cm Lraey [Ib] 14049.27 Cable Length [trays] - Zone B

5 mc, 2400 Cesium inventory [g-atoms] Ugarnma ai, 3.75E-05 1/cm LBfa [Ib] 1561.03 Cable Length [free air] - Zone B

S t6p 0.0336 Onset of Gap release [hrs] U....h...... 0.099 1/cm R, [cm2

]/Ib 800 Cable Area I i

7 r p___in". ,- 1112.5 cm th [cm] 0.7112 Hypalon Jacket Thickness

8 r I f al 1364 cm

9 INTEGRATED DOSES CONCENTRATIONS10 Beta-Gamma Gamma Beta Gamma Beta From Beta From Gamma From Beta From Gamma11 TIME POOL Temp POOL DRYWELL DRYWELL CONTAINMENT CONTAINMENT [HII [HNOJ 2 [HCL]-A i [HCL]-A u [HCL-B i [HHCL]-B Total [H+t 7 [CsOHt Total t[OH+] -LOG(Kw) ' Root x-.u

12 Hours Deg F Me[-cm" MeV/cm" MeV/cmi MeV/cm[ g-mols/liter g-mols/liter g-mols/liter g-mols/titer g-mols/liter 9-mols/liter g-ions/liter g-mols/liter g-ions/liter

13 0 105 O.00E+9( 5.012E-06 0.0000E+00 2.00E-09 1.353E+01 -3.8824E-O914 1 170 5.557E-07 5.568E-06 6.1528E-05 6.15E-05 1.267E+01 5.5638E-0615 2 180 1.3645E-01 1.4200E+12 2.8733E+12 0.0000E+00 1.1220E+12 1.2809E-06 9.961E-07 1.431E-06 1.3836-06 3.660E-06 0.000E+00 1.376E-05 1.3343E-04 1.33E-04 1.257E+01 1.3760E-0016 2.0336 181 1.4229E-01 1.4506E+12 2.8784E+12 0.OOOOE÷00 1.2148E+12 1.3052E-06 1.039E-06 1.433E-06 1.412E-06 3.962E-06 0.000E+00 1.416E-05 1.3584E-04 1.36E-04 1.256E÷01 1.4162E-0517 3 185 2.9415E-01 2.1630E+12 3.0235E+12 6.6925E+10 1.2908E+12 1.3052E-06 2.147E-06 1.505E-06 2.1066-06 4.210E-06 7.206E-07 1.701E-05 1.3584E-04 1.36E-04 1.252E+01 1.7004E-0518 5 196.1 5.4364E-01 3.0991E+12 3.3208E+12 6.4671E÷11 1.4468E+12 1.3052E-06 3.969E-06 1.653E-06 3.018E-06 4.719E-06 6.963E-06 2.664E-05 1.3584E-04 1.36E-04 1.241E+01 2.6636E-9519 12 196.1 1.1306E+00 4.7032E+12 4.3312E+12 1.6404E+12 1.9789E+12 1.3052E-06 8.253E-06 2.156E-06 4.579E-06 6.455E-06 1.766E-05 4.542E-05 1.3584E-04 1.36E-04 1.241E+01 4.5420E-0520 18 196.1 1.4804E+00 5.4462E+12 5.1609E1+12 2.1006E+12 2.4183E+12 1.3052E-06 1.081E-05 2.569E-06 5.303E-06 7.888E-06 2.262E-05 5.560E-05 1.3584E-04 1.36E-04 1.241E+01 5.5498E-0521 24 196.1 1.7610E÷00 5.9733E+12 5.9584E+12 2.4271E+12 2.8430E+12 1.3052E-06 1.286E-05 2.967E-06 5.816E-06 9.273E-06 2.613E-05 6.336E-05 1.3584E-04 1.36E-04 1.241E+01 6.3357E-0522 48 196.1 2.5674E+00 7.2434E+12 8.85036+12 3.2138E+12 4.4038E+12 1.3052E-06 1.874E-05 4.406E-06 7.053E-06 1.436E-05 3.460E-05 8.549E-05 1.3584E-04 1.36E-04 1.241E+01 8.5479E-0523 72 196.1 3.1560E+00 7.9863E+12 1.1319E+13 3.6740E+12 5.7649E+12 1.3052E-06 2.304E-05 5.635E-06 7.776E-06 1.880E-05 3.956E-05 1.011E-04 1.3584E-04 1.36E-04 1.241E+01 1.0112E-0424 96 196.1 3.6505E+00 8.5135E+12 1.3425E+13 4.0005E+12 6.9521E+12 1.3052E-06 2.665E-05 6.684E-06 8.290E-06 2.268E-05 4.307E-05 1.137E-04 1.3584E-04 1.36E-04 1.241E+01 1.1367E-0425 120 196.1 4.0931E+00 8.9224E+12 1.5224E+13 4.2538E+12 7.9874E+12 1.3052E-08 2.988E-05 7.580E-06 8.688E-06 2.605E-05 4.580E-05 1.243E-04 1.3584E-04 1.36E-04 1.241E+01 1.2429E-426 150 196.1 4.6010E+00 9.3312E+12 1.7105E+13 4.5071E+12 9.0975E+12 1.3052E-06 3.359E-05 8.516E-06 9.086E-06 2.967E-05 4.853E-05 1.357E-04 1.3584E-04 1.36E-04 1.241E+01 1.3515E-0427 200 196.1 5.3738E+00 9.8584E+12 1.9521E+13 4.8336E+12 1.0574E+13 1.3052E-06 3.923E-05 9.719E-06 9.599E-06 3.449E-05 5.205E-05 1.514E-04 1.3584E-04 1.36E-04 1.241E+01 1.3582E6-0428 240 196.1 5.9431E+00 1.0192E+13 2.0955E+13 5.0405E+12 1.1486E+13 1.3052E-06 4.338E-05 1.043E-05 9.924E-06 3.747E-05 5.427E-05 1.618E-04 1.3584E6-4 1.36E-04 1.241E+01 1.3583E-0429 300 196.1 6.7335E+00 1.0601E+13 2.2506E÷13 5.2938E+12 1.2519E+13 1.3052E-06 4.915E-05 1.121E-05 1.032E-05 4.0646-05 5.700E-05 1.748E-04 1.3584E-04 1.36E-04 1.241E+01 1.3584E-0430 360 196.1 7.4620E+00 1.0935E+13 2.3551E+13 5.5007E+12 1.3252E+13 1.3052E-06 5.447E-05 1.173E-05 1.0656-05 4.323E-05 5.923E-05 1.856E-04 1.3584E-04 1.36E-04 1.241E+01 1.3564E-0431 400 196.1 7.9191E+00 1.1128E+13 2.40496+13 5.6203E+12 1.3618E+13 1.3052E-06 5.781E-05 1.197E-05 1.084E-05 4.442E-05 6.052E-05 1.919E-04 1.3584E-04 1.361-04 1.241E+01 1.3564E-0432 480 196.1 8.7770E+00 1.1463E+13 2.4727E+13 5.8272E+12 1.4143E613 1.3052E-06 6.407E-05 1.231E-05 1.116E-05 4.613E-05 6.274E-05 2.027E-04 1.3584E-04 1.36E-04 1.2416+01 1.3584E-0433 600 196.1 9.9540E+00 1.1871E+13 2.5259E+13 6.0805E+12 1.4592E+13 1.3052E-06 7.266E-05 1.258E-05 1.156E-05 4.760E-05 6.547E-05 2.162E-04 1.3584E-04 1.36E-04 1.241E+01 1.3584E-0434 700 196.1 1.0861E+01 1.2164E+13i 2.5472E+13 6.2555E+12 1.4791E+13 1.3052E-06 7.928E-05 1.268E-05 1.183E-OS 4.825E-05 6.736E-05 2.257E-04 1.3584E-04 1.36E-04 1.241E+01 1.3584E-0435 720 196.1 1.1035E+01 1.2205E+13 2.5506E+13 6.28756+12 1.48196+13 1.30520-06 8.0566-05 1.2700-OS 1.188E-05 4.834E-OS 6.770E-05 2.275E-04 1.3584E-04 1.36E-04 1.241E+01 1.3584E-04

3637 NOTES38 1 Entergy Eng. Report GGNS-98-0039 Rev.36 Equation 3-i1d [30+90 min release duraton) 14 Acid dissociation constant from: Entergy Eng. Rep. GGNS-98-0039 Rev.3, Sect.6.1,p.2139 3 Ibid, Equation 3-2b 4 d 15 Entergy Calc. XCm 1111-98013 Rev.2, Section 5.740 2 Ibid. Equation 3-4d [30+90 min release duration]41 4 Ibid, Table A-1 I I

42 5 Ibid, Equation 3-3a; Entergy Calc. XC-Q1111-98013 Rev.2, Equation 5-143 6 Ibid, Equation 3-3b; Entergy Calc. XC-C1 111-98013 Rev.2, Equation 5-2

44 7 bid, Equation 3-5a; Entergy Calc. XC-•1 111-98013 Rev.2, Section 5.7

45 8 Ibid, Equation 3-5b; Entergy Catc. XC-Q1 111-98013 Rev.2, Section 5.746 1 Ibid, Equation 3-0a; Entergy Calc. XC-.1111-98013 Rev.2, Section 5.7476 10 Ibid, Equation 3-5d; Entergy Calc. XC-Q1 111-98013 Rev.2, Section 5.748 11 bid, Equabon 3-5d; Entergy Calc. XC-Q1111-98013 Rev.2, Section 5.7

9 I _ bid, Equabton 3-5e; Entert50 13 Entergy CaIc. XC-Q11111-

L-003064, Rev. 1, Attachment E, Page El of E7

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LASALLE GENERATING STATIONTRANSIENT POOL pH CALCULATION

S T U V W X Y Z AA AB

2 d [MW=4101

3

4

5

6

7

8 pH EFFECT OF ADDITION OF SODIUM PENTABORATE STANDBY LIQUID CONTROL [SLC] SOLUTIOI'

910 _Strong Acid

11 Net [H+] pH K. g-equiv. Na2BoO,6 Borate Boric Acid pK, pH

12 g-ions/liter 14 Net [H+j * Vpoo, g-mols g-equiv. g-equiv. -Iog,0 K,

13 5.0158E-06 5.300 7.4515E-10 1.8734E001 6416.8 12815 51353 9.13 8.52

14 3.7883E-09 8.422 1.1254E-09 1.4149E-t2 6416.8 12834 51334 8.95 8.3515 2.2650E-09 8.645 1.1839E-09 8.4597E-03 6416.8 12834 51334 8.93 8.3216 2.2810E-09 8.642 1.1898E-09 8.5193E-03 6416.8 12834 51334 8.92 8.32

17 2.5639E-09 8.591 1.2132E-09 9.5763E-03 6416.8 12834 51334 8.92 8.3118 3.5683E-09 8.448 1.2781E-09 1.3327E-02 6416.8 12834 51334 8.89 8.29119 4.3095E-09 8.366 1.2781E-09 1.6096E-02 6416.8 12834 51334 8.89 8.2920 4.86500E-09 8.314 1.2781E-09 1.8115E-02 6416.8 12834 51334 8.89 8.2921 5.3759E-09 8.270 1.2781E-09 2.0079&-02 6416.8 12834 51334 8.89 8.2922 7.7371E-09 8.111 1.2781E-09 2.8898E-02 6416.8 12834 51334 8.89 8.29

23 1.1222E-08 7.950 1.2781E-09 4.1914E-02 6416.8 12834 51334 8.89 8.2924 1.7575E-08 7.755 1.2781E-09 6.5644E-02 6416.8 12833 51334 8.89 8.2925 3.3712E-08 7.472 1.2781E-09 1.2592E-01 6416.8 12833 51334 8.89 8.2926 5.6040E-07 6.252 1.2781E-09 2.0931E+00 6416.8 12831 51336 8.89 8.2927 1.5579E-05 4.807 1.2781E-09 5.8186E+01 6416.8 12775 51392 8.89 8.29

28 2.5966E-05 4.586 1.2781 E-09 9.6982E+01 6416.8 12737 51431 8.89 8.2929 3.8999E-05 4.409 1.2781E-09 1.4566E+02 6416.8 12688 51480 8.89 8.2930 4.9778E-05 4.303 1.2781E-09 1.8592E+02 6416.8 12648 51520 8.89 8.2831 5.6032E-05 4.252 1.2781E-09 2.0928E+02 6416.8 12624 51544 8.89 8.2832 6.6897E-05 4.175 1.2781E-09 2.4986E+02 6416.8 12584 51584 8.89 8.28

33 8.0343E-05 4.095 1.2781E-09 3.0008E+02 6416.8 12533 51634 8.89 8.2834 8.9875E-05 4.046 1.2781E-09 3.3568E+02 6416.8 12498 51670 8.89 8.2835 9.1651E-05 4.038 1.2781E-09 3.4231E+02 6416.8 12491 51677 8.89 8.28

3637383940

4142

4344454647484W9

L-003064, Rev. 1, Attachment E, Page E2 of E7

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LASALLE GENERATING STATIONTRANSIENT POOL pH CALCULATION

EL A B C D E F1 1CASE 1 LGRAND GULF REFEREp H TRANSIENT

H

2 Line ar Absorpt'on Coeiftciei

3 VPooL =131900*28.3168 Liters [Min.Tech Spec Basis B Ua a., 0.0198

4 m, =325 Iodine inventory [g-atoms] Ubnia hypalon 52.08

5 mca =2400 Cesium inventory [g-atoms[ Ugamn air 0.0000375

6 tgap =121/3600 Onset of Gap release [hrs] Ugarnrna hypalon 0.0997 r[m ftoemn,-A 1112.5

8 r mn.ar, m-Un 1384

9 INTEGRATED DOSES

10 Beta-Gamma Gamma Beta Gamma Beta

11 TIME POOL Temp POOL DRYWELL-A DRYWELL-A DRYWELL-B DRYWELL-B [HI]

12 Hours Deg F Mrad MeV/cm• MeV/cm' MeV/cm' MeV/cm' g-mols/liter

13 0 105 a14 1 170 =$B$4/(120*$B$3)*($A14-(O.5+$B$6))+$B$4I(400*$B$3)15 2 180 1.3783 1420000000000 2873300000000 0 1122000000000 =$B$4/(120$B$3)($A15-(O.5+$B$6))+$B$4I(400*$B$3)

16 =0.5+1.5+66 181 1.3792 1450600000000 2878400000000 0 1214800000000 =$B/(120*$B$3)*($A16-(0.5+$B$6))+$B$4/(400*$B$3)17 3 185 1.4049 2163000000000 3023500000000 66925000000 1290800000000 =H$16

18 5 196.1 1.4581 3099100000000 3320800000000 646710000000 1446800000000 =H$16

19 12 196.1 1.6425 4703200000000 4331200000000 1640400000000 1978900000000 H$120 18 196.1 1.7985 5446200000000 5160900000000 2100600000000 2418300000000 H$16

21 24 196.1 1.9526 5973300000000 5956400000000 2427100000000 2843000000000 =H$1622 48 196.1 2.5509 7243400000000 8850300000000 3213800000000 4403800000000 H$16

23 72 196.1 3.1213 7986300000000 11319000000000 3674000000000 5764900000000 =H$1624 96 196.1 3.6648 8513500000000 13425000000000 4000500000000 6952100000000 =H$16

25 120 196.1 4.183 8922400000000 15224000000000 4253800000000 7987400000000 =H$1626 150 196.1 4.7966 9331200000000 17105000000000 4507100000000 9097500000000 =H$16

27 200 196.1 5.7409 9858400000000 19521000000000 4833600000000 10574000000000 =H$16

28 240 196.1 6.4313 10192000000000 20955000000000 5040500000000 11486000000000 =H$1629 300 196.1 7.3686 10601000000000 22506000000000 5293800000000 12519000000000 =H$16

30 360 196.1 8.1999 10935000000000 23551000000000 5500700000000 13252000000000 =H$1631 400 196.1 8.7011 11128000000000 24049000000000 5620300000000 13618000000000 =H$16

32 480 196.1 9.5911 11463000000000 24727000000000 5827200000000 14143000000000 H$16

33 600 196.1 10.685 11871000000000 25259000000000 6080500000000 14592000000000 =H$1634 700 196.1 11.417 12154000000000 25472000000000 6255500000000 14791000000000 =H$16

35 720 196.1 11.546 12205000000000 25500000000000 6287500000000 14819000000000 H$16

3637 NOTES38 1 Entergy Eng. Report GG 1439 2 Ibid. Equation 3-2b 15

40 3 Ibid, Equation 3-4d [30+941 4 Ibid, Table A-142 5 Ibid, Equation 3-3a; Ente43 6 Ibid, Equation 3-3b; Ente

44 7 Ibid, Equation 3-5a; Ente

4518 Ibid, Equation 3-5b; Ented46 9 bid, Equation 3-0a; EntE47 10 lbid, Equation48 1i bid, Equation.

L-003064, Rev. 1, Attachment E, Page E3 of E7

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LASALLE GENERATING STATIONTRANSIENT POOL pH CALCULATION

K L

2 LA0 y [b] 873.65 Cable Length (trays]- Zone A

3 1/cm . LAIa [1b] 873.65 Cable Length (free air]- Zone A

4 1/cm T Leny [Ib, 14049.27 Cable Length [trays] - Zone B

5 1/cm T LB e [Ib] 1561.03 Cable Length [free air] - Zone B

6 1/cm T R. [cm'ylIb 800 Cable Area

7 cm_ _ th [cm) =0.28*2.54 Hypalon Jacket Thickness

8c=9 _ _ CONCENTRATIONS10 , From Beta From Gamma From Beta11 [HNO,] I [HCL] -A [HCL] -A [HCLJ -B

12 g-mols/liter g-mols/liter g-mols/liter g-mols/liter13 _1415 =0.0000073"$C15 =3.512E-201$B$3*$K$6*($K$2/2+$K$3)/$H$3*$E1 5 =3.512E-20/$B$3*$K$6*($K$2+$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D1 5 =3.512E-20/$5$3*$K$6*($K$412+$K$5)/$H$3*$G1 516 1=0.0000073-$C16 =3.512E-20/$B$3*$K$6*($K$2/2+$K$3)/$H$3*$E16 =3.512E-20/$B$3*$K$6*($K$2+$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D16 =3.512E-20/$5$3*$K$6*($K$4/2+$K$5)/$H$3*$G1 617 =0.0000073"$C17 =3.51 2E-20I$B$3*$K$6*($K$2I2+$K$3)/$H$3*$E17 =3.51 2E-20/$B$3*$K$6*($K$2+$K$3y*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$Dt7 =3.51 2E-20/5B$3"$K$6 ($K$4/2n$K$5)/$H$3*$G1 7

18 =0.0000073"$C18 =3.512E-20/$B$3*$K$6*($K$2J2+$K$3)/$H$3*$E18 =3.512E-20/$B$3*$K$6*($K$2+$K$3)*(1-EXP(-$H$5*$H$7))I$H$5*(1-EXP(-$H$6*$K$7))*$D08 =3.512E-20/5B$3*$K$6($K$4/2c$K$5)/$H$3*$G1819 1=0.0000073"$C19 1=3.512E-20/$B$3*$K$6*($K$2/2+$K$3)/$H$3*$E19 =3.512E-20/$8$3*$K$6*($K$2+$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D19 =3.512E-20/$5$3*$K$6*($K$412+$K$5)/$H$3"$G1920 =0.0000073"$C20 1=3.512E-20I$B$3*$K$6*($K$2/2+$K$3)/$H$3*$E20 =3.512E-20/$B$3*$K$6*($K$2+$K$3)*(1-EXP(-$H$5*$H$7))I$H$5*(1-EXP(-$H$6*$K$7))*$D20 =3.512E-20/$B$3*$K$6*($K$4/2+$K$5)/$H$3*$G2021 =0.0000073"$C21 i=3.512E-20I$B$3$K$6*($K$2/2+$K$3)/$H$3"$E21 =3.512E-20/$B$3*$K$6*($K$2+$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D21 =3.512E-20/$B$3*$K$6*($K$4I2+$K$5)/$H$3*$G2122 =0.0000073"$C22 =3.51 2E-201$B$3*$K$6*($K$2/2+$K$3)/$H$3*$E22 =3.512E-20/$B$3*$K$6*($K$2+$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7)) $D22 =3.512E-20/$B$3*$K$6*($K$412+$K$5)/$H$3*$G2223 =0.0000073"$C23 =3.512E-20/$B$3$K$6*($K$2/2+$K$3)/$H$3*$E23 =3.512E-20/$B$3*$K$6*($K$2+$K$3)°(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D23 =3.512E-20/$B$3*$K$6*($K$4/2+$K$5)/$H$3*$G2324 =0.0000073"$C24 =3.512E-20/$B$3*$K$6*($K$2/2+$K$3)/$H$3*$E24 =3.512E-20/$B$3*$K$6*($K$2+$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D24 =3.512E-20/$5$3*$K$6*($K$412+$K$5)/$H$3*$G2425 =0.0000073"$C25 =3.512E-20/$B$3*$K$6 ($K$2/2+$K$3)/$H$3*$E25 =3.512EB-20/$B$3$K$6*($K$2+$K$3)y1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D25 =3.512E-20/$B$3*$K$6*($K$412+$K$5)/$H$3*$G2526 =0.0000073"$C26 =3.512E-20/$B$3*$K$6*($K$2/2+$K$3)/$H$3*$E26 =3.512E-20/$B$3*$K$6*($K$2+$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D26 =3.512E-20/5B$3*$K$6*($K$412+$K$5)/$H$3*$G2627 =0.0000073*$C27 =3.512E-201$B$3*$K$6°($K$212+$K$3)/$H$3*$E27 =3.512E-20/$B$3"$K$6"($K$2+$K$3)*(I-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7)) $D27 =3.512E-20/$B$3*$K$6*($K$412n$K$5)/$H$3*$G2728 =0.0O00073"$C28 =3.512E-20/$B$3*$K$6*($K$2/2+$K$3)/$H$3*$E28 =3.512E-20/$B$3*$K$6*($K$2+$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D28 =3.512E-20/$B$3*$K$6*($K$412+$K$5)/$H$3*$G2829 =0.0000073"$C29 =3.512E-20/$B$3*$K$6*($K$2/2+$K$3)/$H$3*$E29 =3.512E-20/$B$3*$K$6*($K$2+$K$3)*(1-EXP(-$H$5*$H$7))/$H$5)1l-EXP(-$H$6*$K$7))*$D29 3.512E-25B$3$K$6($K$4/2+$K$5)/$H$3$G2930 =0.0000073"$C30 =3.512E-20/$B$3*$K$6*($K$2/2+$K$3)/$H$3"$E30 =3.512E-20/$B$3*$K$6*($K$2÷$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D30 3.512E-20/5B$3*$K$6*$K$4/2n$K$5 /$H$3*$G3031 =0.0000073"$C31 =3.512E-20/$B$3*$K$6*($K$2J2+$K$3)/$H$3$E31 =3.51 2E-20$B$3$K$6($K$2÷$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D31 =3.512E-20/$B$3*$K$6*($K$4/2÷$K$5)/$H$3*$G3132 =0.0000073"$C32 =3.512E-20/$B$3*$t<$6*($K$2/2+$K$3)/$H$3*$E32 =3.512E-20/$B$3*$K$6*($K$2÷$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1 -EXP)-$H$6*$K$7))*$032 =3.512E-20/5S$3*$K$6*($K$4/2÷$K$5)/$H$3'$G32

33 =0.0000073"$C33 =3.512E-20/$B$3*$K$6*($K$2/2+$K$3)/$H$3*$E33 =3.512E-20/$B$3*$K$6*($K$2÷$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D33 =3.512E-20/5B$3"$K$6*($K$412+$K$5)/$H$3°$G3334 =0.0000073"$C34 =3.512E-20/$6$3$K$6($K$2/2+$K$3)I$H$3*$E34 =3.512E-20I$B$3*$K$6*($K$2n$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$034 =3.512E-20/5B$3*$K$6*($K$4I2÷$K$5)/$H$3*$G3435 =0.0000073-$C35 .512E-2O/$B$3"K$6($K$2/2÷$K$3y/$H$3*$E35 =3.512E-20/$B$3*$K$6*($K$2+$K$3)*(1-EXP(-$H$5*$H$7))/$H$5*(1-EXP(-$H$6*$K$7))*$D35 =3.512E-20/$B$3*$K$6*($K$4/2+$K$5)/$H$3*$G353637

38 Adcid dissociation consta39 Entergy CaIc. XC-O1 1114041

4214314445464748 149 150 1

L-003064. Rev. 1, Attachment E, Page E4 of E7

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LASALLE GENERATING STATIONTRANSIENT POOL pH CALCULATION

M I2

3

4

5

6

7

8

9

10 From Gamma11 [HCL] -B6 ' Total [H+]1 [CsOH]

12 g-molstliter g-ions/liter g-tools/liter

13 =POWER(10,-$T$13)+$H13v+$113+$J13v+$K13+$L3+$M13 =0 6

24 =POWER(-210,-$T$136+$HI14+$514+$J 14+$K14+$L5H14+$M14S=(0.4*$B$5-0.475*$B$4)/(PO$ER3)0,$AT11-30.5+$B$6)24(O.05*$S$5-O.0L25+$M$4)=$0$1

15 =3.512E-20/$B$3"$K$6*($K$4+$K$5)*(1-EXP(-$H$5"$H$8)Y5$H$5(1-EXP(-$H$6-$K$7))'$F15 =POWER(10,-$T$13)+$H15+$115+$J15+$K15+$L15+$M15 =5051616 =3.512E-20/$B$3*$K$6*($K$4+$K$5)*(1-EXP(-$H$5*$H$8))$H$5*(1-EXP(-$H$6*$K$7))*$F16 =POWER(10,-$T$13)+$H16+$116+$J16+$K16+$L16+$M16 =(0.4"$B$5-1.475*$B$4)/(3*$B$3)*($A516-(0.5+$B$6))+(0.05"$B$5-.O475*$B$4)$B$3

17 =3.512E-20/$B$3"$K$6*($K$4+$K$5)*(1-EXP(-$H$5"$H$8))$H$5*(1-EXP(-$H$6*$K$7))*$F17 =POWER(10,-$T$13)+$H17+$117+$J17+$K17+$L17+$M27 =$O51618 =3.512E-20/$B$3-$K$6-($K$4+$K$5)*(1-EXP(-$H$55$H$8))$H$55(1-EXP(-$H$6*$K$7))-$F18 =POWER(10,-$T$13)÷$H18+$118÷$J18+$K18+$L18+$M2 8 =$O51619 =3.512E-20/$B$3*$K$6*($K$4+$K$5)*(1 EXP(-$H$5*$H$8))$H$5*(1°ExP(-$H$6*$K$7))*$F19 =POWER(10,-$T$13)÷$H19+$119+$J19+$K19+$L19+$M19 =$O51620 =3.512E-20/$B$3*$K$6*($K$4+$K$5)*(1-EXP(-$H$5*$H$8)y$H$5*(1-EXP(-$H$6*$K$7))*$F20 =POWER(1O,-$T$13)+$H2O+$120+$J20+$K20+$L20+$M20 =$O51621 =3.512E-20/$B$3*$K$6*($K$4+$K$5)*(1-EXP(-$H$55$H$8)/$H5(l1-EXP(-$H$6*$K$7))*$F21 =POWER(10,-$T$13)+$H21+$121÷$J21+$K21+$L21+$M21 =$O51622 =3.512E-20/$B$3-$K$6*($K$4÷$K$5)*(1-EXP(-$H$5*$H$8)Y$H$5"(1-EXP(-$H$6*$K$7))*$F22 =POWER(10,-$T$13)+$H22+$1225$J22+$K22+$L22+$M22 =$O51623 =3.512E-20/$B$3*$K$6*($K$4+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5(1-EXP(- H$6*$K$7))*$F23 =POWER(10,-$T$13)+$H23+$123+$J23+$K23+$L23+$M23 =$O51624 =3.512E-20/$B$3*$K$6*($K$4÷$K$5)*(1-EXP(-$H$5*$H$8)Y$H$5*(1-EXP(-$H$6*$K$7))*$F24 =POWER(10,-$T$13)+$H24+$124+$J24+$K24+$L24+$M24 =$O51625 =3.512E-20/$B$3*$K$6*($K$4+$K$5)*(1-EXP(-$H$5*$H$8)_$H$5"(1-EXP(-$H$6*$K$7))*$F25 _=POWER(10,-$T$13)+$H25+$125+$J25+$K25+$L25+$M25 =$O$1626 =3.512E-20/$B$3-$K$6-($K$4+$K$5)*(1•EXP(-$H$5*$H$8))/$H$5*(1•EXP(-$H$6*$K$7))*$F26 I=POWER(10,-$T$13)+$H26+$126+$J26+$K26+$L26+$M26 =$O$1627 =3.512E-20/$B$3*$K$6*($K$4+$K$5)*(1•EXP(-$H$5*$H$8)y$H$5*(1•ExP(-$H$6*$K$7))*$F27 I=POWER(1O,-$T$13)+$H27+$127+$J27+$K27+$L27+$M27 =$O$1628 =3.512E-20/$B$3*$K$6*($K$4+$K$5)*(1•EXP(-$H$5*$Hi$8))/$H$5*(1•EXP(-$H$6*$K$7))*$F28 =POWER(1O,-$T$13)+$H28+$128÷$J28+$K28+$L28+$M28 =$O$1629 =3.512E-2O/$B$3*$K$6*($K$4+$K$5)*( 1-EXP(-$H$5*$H$8))/$H$5*(1-EXP(-$H$6*$K$7))*$F29 =POWER(1O,-$T$13)+$H29+$129+$J29+$K29+$L29+$M29 =$O$1630 =3.512E-20/$B$3*$K$6*($K$4+$K$5)*(1-ExP(-$H$5*$H$B)Y$H$5*(1•EXP(-$H$6*$K$7))*$F30 =POWER(1O,-$T$13)+$H30+$13O+$J30+$K30+$L30+$M30 =$O$1631 =3.512E-20/$B$3*$K$6*($K$4+$K$5)*(1•EXP(-$H$5*$H$8))/$H$5*(1•ExP(-$H$6*$K$7))*$F31 =POWER(1O,-$T$13)+$H31+$131+$J31+$K31+$L31+$M31 =$0$1632 =3`512E-20/$B$3*$K$6°($K$4+$K$5)*(1-EXP(-$H$5*$H$8))/$H$5*(1•ExP(-$H$6*$K$7))*$F32 =POWER(1O,-$T$13)+$H32+$132+$J32+$K32+$L32+$M32 =$0$1633 !=3.512E-20/$B$3*$K$6*($K$4+$K$5)*(1-ExP(-$H$5*$H$8))/$H$5*(1•EXP(-$H$6'$K$7))*$F33 =POWER(10,-$T$13)+$H33+$133÷$J33+$K33+$L33+$M33 =$O$1634 !=3.512E-20/$S$3*$K$6*($K$4+$K$5)*(l-EXP(-$H$5*$H$8))/$H$5"(1-EXP(-$H$6*$K$7))*$F34 =POWER(10,-$T$13)+$H34+$134+$J34+$K34+$L34+$M34 =$0$1635 =3.512E-20/$B$3*$K$6*($K$4+$K$5)*(1•EXP(-$H$5*$H$8))/$H$5*(1•ExP(-$H$6*$K$7))*$F35 =POWER(10,-$T$13)+$H35+$135+$J35+$K35+$L35+$M35 =$0$163637383940414243444546

47

48

_02i

L-003064, Rev. 1, Attachment E, Page E5 of E7

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LASALLE GENERATING STATIONTRANSIENT POOL pH CALCULATION

P 0

2 SLC [Ibs]15800 Na2B40710H20 Added [MW=410]

! -i i I

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8 pH EFFECT OF ADDITION OF SODIUP9

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11 Total [OH+] -LOG(Kw) Root x Net [H+j -pH K,

12 g-ions/liter g-ionslliter 14

13 =POWER(10,-14)/POWER(1O,-$T$13)+$013 =15.5129-0.0224*$B13+0.O0003352*POWER(B13,2) =(N13+Pl3-SQRT(POWER(($N13+$P13),2)-(4*(N13*P13-POWER(10,-$Q13)))))12 =$N13-$R13 5.3 =(0.0585"B13+1.309)/1000000000014 =POWER(10,-14)/POWER(10,-$T$13)+$014 =15.5129-0.0224*$BI4+0.00003352*POWER(B14,2) =(N14+P14-SQRT(POWER(($N14+$P14),2)-(4*(N14*P14-POWER(10,-$Q14)))))12 =$N14-$R14 =-LOG10($S14) =(0.0585"B14+1.309)/1000000000015 =POWER(10,-14)/POWER(10,-$T$13)+$015 =15.5129-.0224*$B15+0.00003352*POWER(B15,2) =(N15+P15-SQRT(POWER(($N15+$P15),2)-(4*(N15*P15-POWER(10,-$Q15))))y2 =$N15-$R1 =-LOG10($S15) =(0.0585"B15+1.309)/1000000000

16 =POWER(10,-14)/POWER(10,-$T$13)+$016 =15.5129-O.0224*$B16+0.00003352*POWER(B16,2) =(N16+P16-SQRT(POWER(($N16+$P16),2)-(4*(N16*P16-POWER(10,-$Q16)))))/2 =$N16-$R1=6 -LOG10($S16) =(0.0585"B16+1.309)/1000000000017 =POWER(10,-14 POWER(10,-$T$13)+$O17 =15.5129-0.0224*$B17+O.00003352*POWER(B17,2) =(N17+P17-SQRT(POWER(($N17+$P17),2)-(4*(N17*P17-POWER(10,-$Q17)))))/2 =$N17-$R17 =-LOG10($S17) =(0.0585"B17+1.309)/100000000018 =POWER(10,-14)/POWER(10,-$T$13)+$018 =15.5129-0.0224*$B18+O.00003352*POWER(B18,2) =(N18+Pl8-SORT(POWER(($N18+$P18),2)-(4*(N18*P18-POWER(10,-$Q18)))))/2 =$N18-$R18 =-LOG1O($S18) =(0.0585"B18+1.309)/10000000000

19 =POWER(10,-14)/POWER(10,-$T$13)+$O19 =15.5129-O.0224*$B19+0.00003352*POWER(B19,2) =(N19+P19-SQRT(POWER(($N19+$P19),2)-(4*(N19*P19-POWER(10,-$Q19)))))f2 =$N19-$R19 =-LOG10($S19) =(0.0585"B19+1.309)/1000000000020 =POWER(10,-14)/POWER(10,-$T$13)+$020 =15.5129-0.0224*$B20+0.00003352*POWER(B20,2) =(N20+P20-SORT(POWER(($N20+$P20),2)-(4*(N20*P20-POWER(10,-$Q20)))))/2 =$N20-$R20 =-LOG10($S20) =(0.0585"B20+1.309)/1000000000021 =POWER(10,-14)/POWER(10,-$T$13)+$021 =15.5129O.0224*$B21+0.0O003352POWER(21,2) =(N21+P21-SQRT(POWER(($N21+$P21),2)-(4*(N21*P21-POWER(10,-$Q21)))))12 =$N21-$R21 =-LOG10($S21) =(0.0585"B21+1.309)/10000000000

22 =POWER(10.-14)/POWER(10,-$T$13)+$022 =15.5129-O.0224$B22+0.00003352POWER)B22,2) =(N22+P22-SQRT(POWER(($N22+$P22),2)-(4*(N22*P22-POWER(10,-$Q22)))))/2 =$N22-$R22 =-LG10($S22) =(0.0585*B22+1.309)/1000000000023 =POWER(10,-14)/POWER(10,-$T$13)+$023 =15.51290.0224*$B23+0.00003352*POWER(B23,2) =(N23+P23-SQRT(POWER(($N23+$P23),2)-(4*(N23*P23-POWER(10,-$023)))))/2 =$N23-$R23 =-LOG10($S23) =(0.0585"B23+1.309)/1000000000024 =POWER(10,-14)/POWER(10,-$T$13)+$024 =15.5129-0.0224*$B24+0.00003352*POWER(B24,2) =(N24+P24-SQRT(POWER(($N24+$P24),2)-(4*(N24*P24-POWER(10,-$Q24)))))/2 =$N24-$R24 =-LOG10($S24) =(0.0585"B24+1.309)/1000000000025 =POWER(10,-14)/POWER(10,-$T$13)+$025 =15.5129-0.0224*$B25+0.00003352*POWER(B25,2) =(N25+P25-SORT(POWER(($N25+$P25),2)-(4*(N25*P25-POWER(1 0,-$Q25)))))/2 =$N25-$R25 =-LOG10($S25) =(0.0585"B25+1.309)/100000000026 =POWER(10,-14)/POWER(10,-$T$13)+$026 =15.5129-0.0224*$S26+0.00003352*POWER(S26,2) =(N26+P26-SORT(POWER(($N26+$P26),2)-(4*(N26*P26-POWER(10,-$Q26)))))/2 =$N26-$R26 =-LO10($S26) =(0.0585"B26+1.309)/1000000000027 =POWER(10,-14)/POWER(10,-$T$13)+$027 =15.5129-0.0224*$B27+0.00003352*POWER(B27,2) =N27+27-SRT(POWER(($N27+$P27),2)-040(N27*P27-POWER)1 0,-$027)))))2 =$N27-$R27 =-LO10($S27) =(0.0585B27+1.309)/1000000000

28 =POWER(1 0,-14)lPOWER(10,-$T$13)+$028 =15.5129-0.0224*$B28+0.00003352*POW ER(B28,2) =(N28+P28-SQRT(POWER(($N28+$P28),2)-(4*(N28*P28-POWER(1 0,-$Q28)))))/2 =$N28-$R28 =-LOG10($S28) =(0.0585"B28+1.309)/1000000000029 =POWER(1 0,-14)/POWER(10,-$T$13)+$029 =15.5129-0.0224*$B29+0.00003352*POWER(B29,2) =(N29+P29-SQRT(POWER(($N29+$P29),2)-(4*(N29*P29-POWER(1 0,-$Q29)))))12 =$N29-$R29 =-LOO10($29) =(0.0585"B29+1.309)/1000000000030 =POWER(1 0,-14)/POWER(1 0,-$T$13)+$030 =15.5129-0.0224*$B30+0.00003352*POWER(B30,2) =(N30+P30-SQRT(POWER(($N30+$P30),2)-(4*(N30*P30-POWER(1 0,-$Q30)))))/2 =$N30-$R30 =-LO10($S30) =(0.05858B30+1.309)/1000000000031 =POWER(1 0,-14)/POWER(1 0,-$T$13)+$031 =15.5129-0.0224*$B31+0.00003352*POWER(B31,2) =(N31 +P31-SQRT(POWER(($N31+$P31),2)-(4*(N31"P31-POWER(1 0,-$Q31)))))/2 =$N31-$R31 =-LOG10($S31) =(0.0585"B31 +1.309)/1000000000032 =POWER(10 ,-14)/POWER(1 0,-$T$13)+$032 =1 5.5129-0.0224*$B32+0.00003352*POWER(B32,2) =(N32+P32-SQRT(POWER(($N32+$P32),2)-(4*(N32*P32-POWER(1 0,-$Q32)))))/2 =$N32-$R32 =-LOG10($S32) =(0.0585"B32+1.309)/1000000000033 =POWER(10,-14)/POWER(1 0,-$T$13)+$033 =1 5.5129-0.0224*$B33+0.00003352*POWER(B33,2) =(N33+P33-SQRT(POWER(($N33+$P33),2)-(4*(N33*P33-POWER(1 0,-$Q33)))))/2 =$N33-$R33 =-LOG10($S33) =(0.0585"B33+1.309)/1000000000034 =POWER(10,-14)/POWER(1 0,-$T$13)+$034 =1 5.5129-0.0224*$B34+0.00003352*POWER(B34,2) =(N34+P34-SQRT(POWER(($N34+$P34),2)-(4*(N34*P34-POWER(l 0,-$Q34)))))/2 =$N34-$R34 =-LOG10($S34) =(0.0585"B34+1.309)/10000000000

35 =POWER(10,-14)/POWER(10,-$T$13)+$035 =15.5129-0.0224*$B35+0.00003352*POWER(B35,2) =(N35+P35-SQRT(POWER(($N35+$P35),2)-(4*(N35*P35-POWER(10,-$035)))))/2 =$N35-$R35 =-LOG10($S35) =(0.0585"B35+1.309)/10000000000

363738394041'424344

454647.

491544 1_1

L-003064, Rev. 1, Attachment E, Page E6 of E7

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LASALLE GENERATING STATIONTRANSIENT POOL pH CALCULATION

V W x y z AA1 I2

3

4

56

789

10 Strong Acid11 g-equiv. NaAB=O710H20 Borate Borc Acid pK. pH12 Net [H+] * VPOOL I g-mols g-equiv. g-equiv. -log,.K 1

13 =$13"$B$3 =$Q$2"453.6/410 =W13*2-V13 =W13*8+V13 =-LOG10(U13) =Z13+LOG10((X131$B$3)/(Y13f$B$3))14 =S14"$B$3 =$Q$2*453.6/410 =W14*2-V14 =W14*8+V14 =-LOG10(U14) =Z14+LOG10((X14/$B$3)/(Y14/$B$3))15 =S15"$B$3 =$Q$2*453.6/410 =W15*2-V15 =W15*8+V15 =-LOG10(U15) =Z15+LOG10((X151$B$3)/(Y151$B$3))16 =S16"$B$3 =$Q$2"453.6/410 =W16*2-V16 =W16"8+V16 =-LOG10(U16) =Z16+LOG10((X161$B$3)I(Y161$B$3))17 =$17*$B$3 =$Q$2"453.6/410 =W17*2-V17 =W17*8+V17 =-LOG10(U17) =Z17+LOG10((Xl7$B$3)/(Y17/$B$3))18 =$18*$B$3 =$Q$2"453.61410 =W18*2-V18 =W18*8+V18 =-LOG10(U18) =Z18+LOG10((Xl8$B$3)/(Y181$B$3))19 =$19"$B$3 =$Q$2"453.61410 =Wl*2-V19 =W19*8+V19 =-LOG1O(U19) =Z19+LOG10((X191$B$3)I(Y191$B$3))20 =S20*$B$3 =$Q$2"453.6/410 =W20*2-V20 =W20*8+V20 =-LOG10(U20) =Z20+LOGIO((X2OI$B$3)I(Y2OI$B$3))

21 =$21"$B$3 =$0$2"453,6/410 =W21*2-V21 =W21*8+V21 =-LOG10(U21) =Z21+LOG10((X21/$B$3)I(Y211$B$3))22 =$22"$B$3 =$Q$2"453.61410 =W22*2-V22 =W22"8+V22 =-LOG1O(U22) =Z22+LOG10((X22/$B$3)/(Y22/$B$3))23 =323"$B$3 =$Q$2"453,6/410 =W23*2-V23 =W23*8+V23 =-LOG10(U23) =Z23+LOG10((X231$B$3)I(Y231$B$3))24 =$24"$B$3 =$Q$2*453.6/410 =W24*2-V24 =W24*8+V24 =-LOG10(U24) =Z24+LOG1O((X241$B$3)I(Y241$B$3))25 =$25*$B$3 =$Q$2"453.6/410 =W25*2-V25 =W25*8+V25 =-LOG10(U25) =Z25+LOG 10((X25/$B$3)/(Y25/$B$3))26 =$26"$B$3 =$Q$2"453.6/410 =W26*2-V26 =W26*8+V26 =-LOG10(U26) =Z26+LOGl1O((X2615B$3)/(Y2615B$3))27 =$27"$B$3 =$Q$2"453,6/410 =W27*2-V27 =W27*8+V27 =-LOGI0(U27) =Z27+LOGlO ((X2715B$3)/(Y2715B$3))28 =S28*$B$3 =$Q$2"453.6/410 =W28*2-V28 =W28*8+V28 =-LOG10(U28) =Z28+LOG 10((X2815B$3)I/(Y2815B$3))

29 =S29"$B$3 =$Q$2"453.6/410 =W29*2-V29 =W29*8+V29 =-LOG10(U29) =Z29+LOG 10((X29/5S$3)I(Y29/5B$3))30 ]=$30*$B$3 =$Q$2"453.6/410 =W30*2-V30 =W30*8+V30 =-LOG10(U30) =Z30+LOGIO ((X3O/SB$3)/(Y3OI$B$3)),31 =$31"$B$3 =$Q$2"453,61410 =W31*2-V31 =W31*8+V31 =-LOG10(U31) =Z31 +LOGlO ((X3115B$3)/(Y3115B$3))32 !=$32"$B$3 =$0$2"453.6/410 =W32*2-V32 =W32*8+V32 =-LOG10(U32) =Z32 +LOG 10((X32/$B$3)/(Y32/$S$3))

33 .=$33"$B$3 =$Q$2"453.6/410 =W33*2-V33 =W33*8+V33 .=-LOG10(U33) =Z33+LOG10((X3315B$3)I(Y33/5B$3))34 I=$34*$B$3 =$Q$2"453.6/410 =W34*2-V34 =W34*8+V34 =-LOG10(U34) =Z34+LOG10((X3415B$3)I(Y3415B$3))

35 =S35*$B$3 =$Q$2"453.6/410 =W35*2-V35 =W35*8+V35 =-LOG10(U35) =Z35+LOG10((X35/$B$3)/(Y35/$B$3))363738394041424344454647484950

L-003064, Rev. 1, Attachment E, Page E7 of E7

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CALCULATION NO. L-003064 Attachment H I REV. NO. I ] PAGE NO. Hi of HI I

Computer Disclosure SheetDiscipline Nuclear

Client:: Exelon Corporation Date: October 2008Project: LaSalle County Station Job No. 28062-LAS0152

Program(s) used Rev No. Rev Date Calculation No.: L-003064 Rev 1Excel Spreadsheet included N/A N/A

Status [ ] Prelim.[X] Final

[ VoidWGI Prequalification [ ] Yes

[X] No, the Excel Spreadsheet qualification is included herein

Run No. N/A Description: The Excel spreadsheet utilized is presented in Attachment C included with the Calculation.The cell formulae, presented in Attachment D of this Calculation, are based on the methodology developed for the equivalent calculationsdone for the Grand Gulf Nuclear Station, as described in Attachment F and G included with the Calculation. The accuracy of translation ofthese formulas is verified by duplicating the Grand Gulf calculation, as presented in Attachment E included with the Calculation.

Analysis Description: The Excel spreadsheet uses input values of pool volume, I and Cs inventory, onset of gap release, absorptioncoefficients, cable surface area and Hypalon jacket thickness, pool temperature as a function of time, and integrated drywell and containmentair beta and gamma doses as a function of time. It calculates HI, Nitric acid, hydrochloric acid (from cable radiolysis), H+, CsOH, OH, and pHin the suppression pool as a function of time. This calculation is done with consideration of sodium pentaborate addition (as an inputquantity).

The attached computer output has been reviewed, the input data checked,

And the results approved for release. Input criteria for this analysis were established.

By: William Golden ½ On:

Run by: William Golden L o/ L. 0'i

Checked by: Harold Rothstein / L4• iI /

Approved by: Harold Rothstein /0/ L"-'