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---- - --- - --- Journal of Research of the National Bureau of Standards Vol. 60, No.5, May 1958 Research Paper 2858 Reaction of Portland Cement with Carbon Dioxide Charles M. Hunt, Vernon Dantzler, Lewis A. Tomes/ and Raymond L. Bla ine Th e reaction of port land cement with carbon dioxide was found to be gr eat ly influ e nc ed by t he mo i st ure environment of the cemen t. R eact ion \yi th ca rbon dioxide a nd ", at r al so a ff ected the s ub sequent hy ell 'a tion of the cement . 1. Introduction Por tl and cements stored fo r several mOil ths in an environment t ha t permi Ls gradual access to air some- times app ear to h 'y draL e mor e slowly t ha n wh en the cements were fir st tesLed . H is a well-h:nown fa ct th at cemenL can react wit h carb on dioxide wh ell exposed to ai r 0[' ot her atmospheres conta ining this gas [IV Th e rea ct ion is acco mpani ed by a certain amoun t of h ydrat ion due to at mospheri c moi st ur e. A numb er of .vears ago Bonn ell [2 ] st udied the eff ect of carb onal ion of cemell t o n se tLing Lime, h eat of hydration , a nd Le ns il e st rengt h of the mat erial after He found all of these prop erti es to be influenced b:\' carbonation of the o ri g in al ceme nt . ylor e re ce ntly, Lhe d eterminaLion of nonevaporab le water in hardened ceme ll t pasLes has been used rather extensiv el y to es timaLe the degree of hyd ra- tion of cemenL [3, 4, 5, 6]. Th e presenL paper con- siders the e ff ect of carbonaL ion of eemen L upon it s subsequent hydratio n, us in g nonevaporablc water as a meas ur e of h Yelrat ion. Bonnell [2 ] and Lea [1] have mentioned LhaL the r eact ion of ce menL wi th ca rbon dioxide is dependenL upon rcla ti ve Itumidity and that uch reaction will no t tak e place in a dr y atmo spher e. A brief re- investigation of t hi s matter is also describ ed in this p ap er . 2. Methods and Materials 2.1. Carbon Dioxide Exposure Cem ent was exposed to carbon dioxide in a tube sim il ar to Lh e one illus trat ed in fig ure 1. Th e carbon dioxide was brought to pr edesir ed r el ative humidi ty by pa ssing it Ll no ugh gas-wa bing bottl es conLaining sulfuric acid of appropriate concentration . Approximately 1 g of cement was take Ll for each expo sur e a nd the en tire specimen anal.vzed. When Jarger amou nts of cemen L , yere exposed, the cemen t was Laken ouL and blended at interval s. Cement was also carbonat ed in air by ex posur e in a large o Uld oor enclosure wh ere it could hav e free access to air but be proLected from wind a nd rain. Th e cement was spr ead in layers 2 mm thi ck or less for Lhi s type of exposur e. I Research Associate at the National Uureau of Standards, represe nti ng the Calcium Ch loride InsUtute. 2 Figures in brackets indicate the literat ure references at the end of this paper. 441 cO2 CEMENT n - BUTY L PHTHALATE GLASS WOOL 1" 1 G Lf RE 1. Cell Jar ex posing ce ment to cal'bon d· ioxi d e. 2.2. Determination of Carbon Dioxide Th e carbon dioxide co n Le nLof Lite cement was de- termin ed b .. Lhe evolution m et hod , di gesL ing Lbe m aterial wi Lh 4 N hydrochloric acid and absorbing the evol ved carbon dioxide in Ascarite. An hydrous calcium chloride was used in the sysLem to absorb wat er, and silver sulfate in concen LraLed s ulfuTic acid wa s used to abso rb any h yd rogen sulfide th at might be pr ese n t. The appara t us and other d etails of the determination are simil ar to tho e described by Kolthofl' and Sandell [ 7] . 2 .3. Hydration of Cement Th e ceme nt was mixed with water in a w ater- cement rat io of 0. 5. Mixing was carri ed out in a soil-densi ty balloon 3 to m inimize co n tact wi th air. 3 So il -den sity ball ons arc supplied by the Rai nh art Co., Austin, Tex. The type used in t hi s work had a total volume or about 160 mi.

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Page 1: Reaction of portland cement with carbon dioxide - NIST … · Journal of Research of the National Bureau of Standards Vol. 60, No.5, May 1958 Research Paper 2858 Reaction of Portland

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Journal of Research of the National Bureau of Standards Vol. 60, No.5, May 1958 Research Paper 2858

Reaction of Portland Cement with Carbon Dioxide Charles M. Hunt, Vernon Dantzler, Lewis A. Tomes/ and Raymond L. Blaine

The reaction of portland cement wi th carbon dioxide was found to be greatly influ enced by t he mo isture environment of the cement. R eaction \yi t h carbon dioxide a nd ",at r also a ffected the subsequ ent h yell'ation of the cement.

1. Introduction

Portland cements stored for several mOil ths in an environment tha t permiLs gradual access to a ir some­times appear to h 'ydraLe more slowly t ha n when the cements were first tesLed . H is a well-h:nown fact that cemenL can r eact with carbon dioxide whell exposed to ai r 0[' other atmospheres containing this gas [IV The reaction is accompanied by a certain amoun t of hydration du e to atmospheric moisture. A number of .vears ago Bonnell [2] studied t he effect of carbonalion of cemell t on se tLing Lime, heat of hydration, and Lensile strengt h of the material after h~~dra tion . H e found all of these properties to be influenced b:\' carbo na tion of t he origin al cement.

ylore rece ntly, Lhe determinaLion of nonevaporable water in hardened ceme ll t pasLes has been used rat her extensively to estimaLe the degree of hydra­tion of cemenL [3, 4, 5, 6]. The prese nL paper con­siders the effec t of carbo naLion of eemen L upon its subsequ ent hydratio n, using nonevaporablc water as a measure of hYelration.

Bonnell [2] and Lea [1] hav e men tioned LhaL the reaction of cemenL wi th ca rbon dioxide is depe ndenL upon rcla ti ve Itumidity a nd that uch r eact ion will no t take place in a dry atmosphere. A brief re­investigation of this matter is also described in this paper .

2. Methods and Materials

2 .1. Carbon Dioxide Exposure

Cement was exposed to carbon dioxide in a tube similar to Lhe one illustrated in fig ure 1. The carbon dioxide was brought to predesired relative humidi ty by passing it Llnough gas-wa bing bottles conLaining sulfuric acid of appropriate concentration . Approximately 1 g of cement was take Ll for each exposure and the en tire specimen anal.vzed . When Jarger amounts of cemen L ,yere exposed, the cemen t was Laken ouL and blend ed at intervals.

Cement was also carbonated in a ir by exposure in a large oUldoor enclosure where it could have free access to air but be proLected from wind and rain. The cement was spread in layers 2 mm thick or less for Lhis type of exposure.

I Research Associate at the Natio nal Uureau of Standards, representing the Calciu m Ch loride InsUtute.

2 Figures in brackets indicate the literature references at the end of th is paper.

441

cO2

CEMENT

n - BUTY L PHTHALATE

GLASS WOOL

1" 1 G LfR E 1. Cell Jar ex posing ce ment to cal'bon d·ioxide.

2 .2 . Determination of Carbon Dioxide

The carbon dioxide co nLenL of Lite cement was de­termined b . . Lhe evolu tion method , digesLing Lbe material wiLh 4 N hydrochloric acid and absorbing t he evolved carbon dioxide in Ascarite. An hydrous calcium chloride was used in the sysLem to absorb water , and silver sulfa te in concenLraLed sulfuTic acid was used to absorb a ny hydrogen sulfide that might be present. The apparat us and other details of the determination are similar to t ho e described by Kolthofl' and Sandell [7] .

2 .3. Hydration of Cement

The cement was mixed with water in a water­cement ratio of 0. 5. Mixing was carried out in a soil-densi ty balloon 3 to m inimize con tact wi th air.

3 So il-density ballons arc supplied by the Rai nhart Co., Austin, Tex. The type used in t his work had a tota l volume or about 160 mi.

Page 2: Reaction of portland cement with carbon dioxide - NIST … · Journal of Research of the National Bureau of Standards Vol. 60, No.5, May 1958 Research Paper 2858 Reaction of Portland

The paste was cast in t he form of 7f-in . cylinders by extrusion into paraffin-coated paper molds. The paste-filled molds were kept in s toppered gl ass tubes for 24 hr , after ,,,hich the specimens were sawed into 7f-in. sec tions. H ydra tion for periods grea ter than 24 hr was carried out in p araffin-sealed quart jars in the presence of a high concentration of wate r vapor.

2.4. Determination of Nonevaporable Water

The pastes were crushed and nonevaporable water was determined by a procedure similar to tha t described by Copeland and H ayes [5] . However , instead of applying a correc tion for igni t ion loss of the original cement, the specimens were analyzed for carbon dioxide and corrected for carbon dioxide content. N onevaporable water computed in this way includes all nonevaporable water in the speci­men, regardless of whether it was acquired before or after mixing.

2.5 . Cements

Four cements wer e used in these experimen ts . All were type I cements according to :Federal Speci­fica tion SS- C- 192a. The resul ts of chemical analysis of t he cements are given in table 1.

T A BLE 1. Chemical composition of cements

Cement Con sti tuent

P ercentage by "'eight

CaO................................... 64. 0 62. 5 64. 1 SiO, ................................... 22. 0 22. 2 22. 3 Ah03 __ ............. __ .. ____ ........... 5. 2 5. 2 5. 0 F e'0 3.................................. 4. 6 2. 6 3. 0

M gO __ ................................ 1.6 3.8 1.9 S0 3.................................... 1. 5 1.9 2. 0 Ignition loss ........... __ .............. 0. 2 0. 5 1.0 Insoluble residue....................... . 1 . 3 0. 3

3 . Results

5.9 2. 3

1.9 2. 2 0. 7

. 2

3 .1. Effect of Water on the Rate of Carbonation

Portland cement was exposed to carbon dioxide a t different relative humidities for differ ent periods of time and analyzed after exposure. I n figure 2 the carbon dioxide content is plotted as a function of exposure time. At rela tive humidities of less t han 25 percen t, carbonation was found to be very slow. The slope of t he bottom curve in figure 2 sugges ts that th e cement would no t have r eacten with much more carbon dioxide even if it were exposed for a much longer period. At 50 to 55 percent, the rate of carbonation increased, and a t 90- Lo 95-percen t relative humidity th e increase was most marked. The curves at these higher relative humidities showed no evidence of leveling off after a week of exposure.

7

6

'" 5

OJ o - 4 x o o i5 3 CD cr « <.J

2 0

· - 8

°O~--~----~2~--~3----~4~---t5----~6~---t--~8

EXPOSURE TIME , DAYS

F IG U R E 2. E ffect of relative humidi ty on the rate of carbonation of portland cement.

\7, Cement exposed to d ry carbon dioxide, 0, cement exposed to carbon d ioxid e at 20· to 25·perccnt relative hu m idit y, X , cement expcsed to carbon dioxide a t 50· t o 55·percent relative h u midity, D. cement exposed to carbon d ioxid e at 90· to 9,,'percent relative h um idi ty , A, cement exposed to air for 1 week , B , fresh cement paste exposed to air for 1 week.

B ecause the rate of carbonation was so dependen t on r elative humidity, cement was also exposed by passing carbon dioxide in to a freshly-mixed paste. The initial water-cement ratio of the paste was 0.5, but the mixture dried during exposure. In figure 3 t he rate of carbonation of fresh paste is compared with that of cement a t 90- to 95-percent relative humidi ty. It may be seen that during the first few hours th e paste carbona ted much fas ter than the cement, but ther eafter th e rate diminished sharply . The decrease in rate was probably due to drying of the paste. I t is clear from the resul ts in figure 2 and 3 that water is an impor tant limiting factor in the rate of carbonation of cement.

Cement, and fresh cement paste, were also exposed to air. Figure 4 shows the amount of carbon dioxide gained upon exposure to air for periods up to 28 days. Again the fresh paste acquired much more carbon dioxide than the dry cement during the first day, bu t , after drying, the rate for paste was slightly less than that of the cem ent. From these resul ts i t is clear th a t even a t th e low carbon dioxide concentrations normally present in air, water can also be a ra te­determining factor.

Point A, in figure 2, shows the amount of carbon dioxide in th e cement after a week of exposure to air. It is included in the figure to point ou t that the cement contained more carbon dioxide after a week in air than in pure, dry carbon dioxide. Point B , in figure 2, shows that the cement paste co ntained more carbon dioxide after a week 's exposure to air tban 'was present ill dry cement after a similar period in carbon dioxide a t 50- to 55-percent r elative humidity . From these observations it is concluded t ha t the concentration of water can exert a grea ter effect on the rate of carbonation t han th e carbon dioxide concentration.

442

Page 3: Reaction of portland cement with carbon dioxide - NIST … · Journal of Research of the National Bureau of Standards Vol. 60, No.5, May 1958 Research Paper 2858 Reaction of Portland

25

w 20 9 x Q o

6 15 <D 0: « u

10

5 -

°0~--~----~2~---73----~4-----L----~6-----L--~

EXPOSURE TIME, DAY S

FIGUR E 3. Rale oj carbonalion 0/ cemenl and .fresh ce menl pasle in carbon dioxide.

0, CemcnL exposed LO carbon d ioxide at 90· 95·perce nt relath-e bumidil y; +, fresh cement paste ex posed LO dry carbon dioxide.

<;?

w o ><

5

4

2 3 o

2 o m cr <l U 2 _

I -

O '--______ ....L..... ______ --'-________ .L..-__ -'

o 10 20 30

EXPOSURE TIME, DAYS

FI G LJ RE '1. Rale of carbonalion of cemenl and jresh cemenl pasle i n air .

!::" Ce ment exposed to air , 0, fresh cement paste cxposed to air.

Th e r esults shown in fi gure 2, 3, a nd 4 were all obtained wi th cement 1 in table 1.

3.2. Effect of Carbonization on the Hydration of Cement

Cements co ntaining differen t amounLs of carbon dioxide were mixed with water and allowed Lo hydrate. N onevaporable water in the llardened paste -was determined after 1 day, 7 days, and 2 days of hydration. The res ults are given in table 2. It may be seen that the more highly carbonated cements contained smaller amounts of nonevaporable water after hydration. In figures 5, 6, and 7, carbon dioxide content of th e cement before mixing j plotted as a function of nonevaporable-water content of the hardened paste afLer hydration. Both quan­tities have been expressed in millimoles per 100 g of ignited cement . This comparison shov/s no simple stoicbiometric relationship between the increase in carbon dioxid e contenL of t he cement and the de­crease in nonevaporable water in the pasLe, but iL shows that comparatively small d ifferences in Lb e number of millimoles of carbon dioxide in th e ccmenL are associated with raLb er large diffrrences in Lh e number of millimoles of non evaporable water . Th e effect is just as eviden t after 28 days of hydraLion as after Lhe first day.

CarbonaLion of cemell L is accompanied by a certain amounL of hydration by waLer vapor in the carbonating atmosphere. For this reason, the effects shown in table 2 a nd in figures 5, 5, and 7 ma:v

f­Z w :::< w 400 u o W f-

Z '-' "-o C1>

o Q 300 "­:::< E It: W

~ W ..J <D

C2 200 o Q.

~ w I

Z o z

CEMENT- 2 CEMENT - 3 CEMENT - 4

1000 40 80 0 40 80 0 40 80 CAR80N DIOXIDE , mM / 10 0 g OF IGNITED CEMENT

FIG U RE 5. Nonevaporable waler contenl of cemenl pa~les afler 1 day of hydrati on as a funclion 0/ carbon dioxide conlenl of lhe cement bef ore mixing.

443

Page 4: Reaction of portland cement with carbon dioxide - NIST … · Journal of Research of the National Bureau of Standards Vol. 60, No.5, May 1958 Research Paper 2858 Reaction of Portland

f-­Z W ::;: W u a w f--

800

2: 700 <.!)

lL o 0>

o <:2 "­::;: E ce 600 w

~ w --' CD <l a::: o Cl..

;3: w500 I z o z

400

I

CEMENT - 2 CEMENT - 3 CEMENT- 4

~

0

o 40 80 0 40 80 0 40 80 CARBON DIOXIDE, mM / 100 g OF IGNITED CE,MENT

FIGURE 6. Nonevaporable water content of cement pastes after 7 days of hydration as a f1mction of carbon dioxide content of the cement before mixing.

T ABLE 2. Nonevaporable water content of haTdened pastes and carbon dioxide content of cement from which they were pl'e­paTed

~-

None\'aporable water

I nitial OO, Cement (percentage 1-day [ I-weCk [ I-month

of ignited hydration hydration hydration cemeni)

Percentage of ignited cement

2- - - -- --------------- 1

0. 39 7. 35 14.50 18. 05 . 19 6. 91 ] 3. 47 16. 95 .41 7.04 11. 01 17. 30

1. 48 4. 11 10.22 15.15 2. 46 3.49 10. 19 14. 89

3- - ----------------- 1

0. 25 7. 40 11. 70 15,40 . 27 7.25 10.93 14.38 . 36 6. 52 10.80 14.20 . 64 ------------ 9. 40 14. 16

1.68 5.28 8.91 13.34

4-- -- ----- - -------- - -- 1

0.23 6.78 11. 46 19. 47 . 28 6. 22 10.91 17. 75 .52 6.38 10. 98 18. 42

1. 75 3.65 9. ]4 15. 60 2.31 3. 27 8.79 16. 22

II 00

f--Z w ::;: w u a w f--21000 <.!)

lL o

o o "­::;: E a::: 900 w

~ W ...J CD <l a::: o Cl..

;3: W 800 I

Z o z

CEMENT - I CEMENT-2 CEMENT - 3

o

o

o

7000L--L--40L---'-~80L-~0--~-4~0~~~8~0--70--L-~4~0--~~80~

CAR BON DIOXIDE, mM /100 g OF IGNIT ED CEMENT

FIGU HE 7. N onevaporable water content of cement pastes after 28 days of hydration as a /unction of carbon dioxide content of the cement before m ixing.

not b e exclusively due to carbon dioxide in the cement. Pastes were prepared from foUl' specimens of cement in which th e initial water content of the original cement varied from specimen to specimen, whereas the carbon dioxide conten t was nearly constant. These were compared with pastes froul foUl' specimens in which both carbon dioxide and water contents of the original cemen t yar ied from specimen to specimen, The nonevaporable water conten t of the eight pastes after 24 hI' of hydration are given in table 3, alon g with the water and carbon dioxide contents of the original cement. It is eyi­dent tha t both the water and carbon dioxide in the original cement exerted an influence on subsequell t hydration. The comparative effec ts of th e water and carbon dioxide in the original cemen t can perhaps be best illustrated by considering non cvaporable water conten t of the hydra ted paste as a function of the water conten t of the original cement, as has been done in figure 8. It may be seen from the figure that carbon dioxide produced an effect on hydration over and above that produced by water in the originai cement. The decrease in m.illimoles of nonevapor­able wa ter in the paste was also somewhat greater than the total number of millimoles of carbon dioxide and water in the cement that wer e associa ted with th e effect.

444

Page 5: Reaction of portland cement with carbon dioxide - NIST … · Journal of Research of the National Bureau of Standards Vol. 60, No.5, May 1958 Research Paper 2858 Reaction of Portland

TABLE 3. N onevaporable waler con lenl of hardened cemenl pasles and carbon dioxide and wale?' content of cement from which lhey were pre pared

In iii»] CO, In itial H ,O (percell tage (per'een I age Cem en t of igni ted of ign ited

cemcnt) ce mcnt)

2 ____________________________ { 0. 44 0. 97 . 65 1. 00

1. 80 1. 19 2. 76 1. 55

L _________________ ________ { 0. 43 0. 74 . 48 . 89 . 49 1. 53 . 49 1. 36

f-Z W ::< w u 0 W f-

Z

'" u.. 0

'" 0 ~ "-::< E

0: W f-«

" w ...J !D « 0: 0 a. § w I

Z 0 z

400

300

200

100 0

'x \ X

40 80 120 WATER IN CEMENT BE FORE MI XI NG,

mM/IOO 9 OF IGNI T ED CE MEN T

Fw lfm, 8. Nonevaporable water content of cement pastes as a functi on of the water in the cement before mixing.

X, 0.43- to OA9-percent C02 in cement' 0 ,0.44- to 2.76·poreont of CO, in ccment.

4. Discussion

Noncvaporable water aftcr 1

day (percentage of igni ted cemen t)

6.79 5.52 2.96 2. 25

08 81 55 49

Th e r esults in figure 2 are in essen tial agreemen t with the statements of Bonn ell [2] and Lea [1] relating to the eA'ecL of relative humidi ty on the reaction of carbon dioxide wi th cemen t . A certain amoun t of watc)' is necessarv before carbona tion can proceed, aL leasL at any apprcciable rate.

The r esul ts in figures 3 and 4 show that cemen t in a fresh pasLe is par t icul arly suscepLible to carboila­tion wherever t he sUl'face is exposed. This observa­t ion is of in terest in conn ection wi th K auer and Freeman's [8] investigaLion llltO the cause of softn ess of Lhe surface of concrete floors where oil-burning

445

heaters wer e used Lo keep th e freshly pl aced co ncrete warm. They attribu ted this u ndesi rable behavior to carbona tion . Th e 1'e ul ts in fi gures 2 and 3, although they give no direct eviden ce as to the quality of th e cemen t after carbon ation , show that the exposed sUl'faee of a freshl~T mixed cemen L will react wi th carbon dioxide many times as fasL dmin g the first few hours as will the same cemen t before nuxmg .

It is also eviden t from the l'esults in figures 5, 6, and 7 tha t t h e amount of nonevaporable wa ter in a hydrated cem ent after a g:ven time of hydration is influenced to a measurable exten t by the amount of carbon dioxide in the original cement before mixing. I t is in teresting to consider these results in the ligh t of Bonnell's [2] observa tion that the tensile strength of . mortars and pastes at early ages was adversely affected by sma,]l amounts of carbon dioA'ide in th e original cement, whereas streng th at 28 days was not adversely affec ted un til carbon dioxide levels greater tha n those in the pl'esenL experiments were encountered . If any comparison between the presen t observa tions and those of Bonnell is justified , it implies that cemen t con taining differen t amounts of carbon dioxide can develop the same strength at 28 days, even though there may be measureable difl'erences in t he amount of hydration products present.

The mech anism by which carbonation and reac­t ion with atmospheric moisture reduces subsequent hydration is not es tablished. The similari ty of the effect a t all ages , as shown in figures 5, 6, and 7, suggests that changes produced during carbonation do no t affect Lhe raLe of hydration , as such , unless possibly within the first few hours. However , as a resul t of carbon a tion , a fraction of th.e cemen t is made unavailable for hydration, and the amoun L of hydra table material so a ffected is no t a linear fun ction of carbon dioxide con Len t.

From the standpoin t of practi cal usc iL is doubtful if small am oLln Ls of carbon dioxide a nd \vaLe r seriously impair the hydraulic pl'operLies of por tland cement . All cemen t probably con ta.i ll s small amou nts of these substa nces. In the experimenLs described h ere, cement was give n maximum oppor­tunity to come into con tact with carbon dioxide and water , whereas in bulk: storage the cement in the outer layers of the mass aA'Ol'ds some pro tection to the cement on the interior . However , to obtain maximum reproducibili ty ill car efully co ntrolled hydrat ion studies, it is desirable to avoid reaction wi th carbon dioxide anclwate[' during storage .

5. Summary

In confirmation of ea rli er o bservations repor ted by Bonnell [2] and Lea (1], cemenL was found to carbonate slowly or no t at all wh en exposed to pure, dry carbon dioxide. In the presence of in­creasing concen trations of water vapor , however , the rate of carbonation increased rapidly. Cement was also found to carbonate fas ter when freshly mixed wi th water than in an atmosphere of high rela tive humidi ty.

Page 6: Reaction of portland cement with carbon dioxide - NIST … · Journal of Research of the National Bureau of Standards Vol. 60, No.5, May 1958 Research Paper 2858 Reaction of Portland

The amount of nonevaporable water in a hardened cement after 1 day, 7 days, or 28 days of hydration was found to be smaller as the amount of carbon dioxide in the original cement increased. The reduction in the amount of hydration at any given age was greater than the amount of carbon dioxide associated with the effect, when both were compared on a molecular basis. Water in the original cement also appeared to curtail subsequent hydration of the cement, but the effect was less than the com­bined effect of water a,nd carbon dioxide.

I

I~

W ASHING'1'ON , November 13, 1957.

446

6 . References

[1] F . M . Lea, The chemistry of cement and concre te, p . 250 (St. Martins Press, Kew York, N. Y. , 1956).

[2] D. G . R. Bonnell, Dept. Scientific and Industrial Research, Building Research Tech . Paper No. 19 (His Majes ty 's Stationery Office, 1936).

[~3] T . C. Powers and T. 1.,. Brownyard , Studies in the physical properties of portland cement paste, Part 2, s tudi es of water fixation , Proc . Am. Concrete Inst. 43, 2-19 (1946) ; Also included in Portland Cemen t Assoc. Bu!. 22.

[4] T. C. Powers , Kon-evaporable water content of hardened portland cement paste- its significance for concrete research and its methcd of determination , ASTM B il l. No. 158 (May 19-19); also published as Portland Cement Assoc . Bu!. Ko. 29.

[5] L . E . Copeland and J. C. Hayes, Determination of non­evaporable water in hardened portland cement past e, ASTM Bu!. No . 194, p. 70 (1953); also published as Portland Cement Assoc. Bul. Ko. 47 .

[6] L . E . Copeland and R. H . Bragg, Self desiccation in port­land cement pastes, ASTM Bu!. No. 204 , p. 34 (1955) ; also published as Portland Cement Assoc . Bu!. No . 52.

[7] I. M. Kolthoff and E . B . Sandell , p . 373 (The Mac­Millan Co ., Ne w York , K . Y ., 1952).

[8] J . A. Kauer and R . L . Freeman , Proc. Am. Concrete Ins t . 52,447 (1955).