chemical reaction engineering asynchronous video series
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Chemical Reaction Engineering Asynchronous Video Series. Chapter 2: Conversion and Reactors in Series H. Scott Fogler, Ph.D. Reactor Mole Balance Summary. Conversion. Conversion. Conversion. Batch Reactor Conversion. - PowerPoint PPT PresentationTRANSCRIPT
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Chemical Reaction Engineering
Asynchronous Video Series
Chapter 2:
Conversion and Reactors in Series
H. Scott Fogler, Ph.D.
![Page 2: Chemical Reaction Engineering Asynchronous Video Series](https://reader030.vdocument.in/reader030/viewer/2022032607/56813048550346895d95f2cd/html5/thumbnails/2.jpg)
Reactor Mole Balance Summary
![Page 3: Chemical Reaction Engineering Asynchronous Video Series](https://reader030.vdocument.in/reader030/viewer/2022032607/56813048550346895d95f2cd/html5/thumbnails/3.jpg)
Conversion
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Conversion
€
X = moles reactedmoles fed
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Conversion
€
X = moles reactedmoles fed
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Batch Reactor Conversion
• For example, let’s examine a batch reactor with the following design equation:
€
dN Adt
= rAV
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Batch Reactor Conversion
• For example, let’s examine a batch reactor with the following design equation:
• Consider the reaction:
€
dN Adt
= rAV
€
moles remaining = moles fed - moles fed • moles reacted
moles fed
![Page 8: Chemical Reaction Engineering Asynchronous Video Series](https://reader030.vdocument.in/reader030/viewer/2022032607/56813048550346895d95f2cd/html5/thumbnails/8.jpg)
Batch Reactor Conversion
• For example, let’s examine a batch reactor with the following design equation:
• Consider the reaction:
€
dN Adt
= rAV
€
moles remaining = moles fed - moles fed • moles reacted
moles fed
![Page 9: Chemical Reaction Engineering Asynchronous Video Series](https://reader030.vdocument.in/reader030/viewer/2022032607/56813048550346895d95f2cd/html5/thumbnails/9.jpg)
Batch Reactor Conversion
• For example, let’s examine a batch reactor with the following design equation:
• Consider the reaction:
€
dN Adt
= rAV
Differential Form:
Integral Form:
€
moles remaining = moles fed - moles fed • moles reacted
moles fed
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CSTR Conversion
Algebraic Form:
There is no differential or integral form for a CSTR.
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PFR Conversion
PFR
€
dFAdV
=rA
FA = FA0 1− X( )
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PFR Conversion
PFR
€
dFAdV
=rA
FA = FA0 1− X( )
![Page 13: Chemical Reaction Engineering Asynchronous Video Series](https://reader030.vdocument.in/reader030/viewer/2022032607/56813048550346895d95f2cd/html5/thumbnails/13.jpg)
PFR Conversion
PFR
€
dFAdV
=rA
FA = FA0 1− X( )
Differential Form:
Integral Form:
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Design Equations
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Design Equations
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Design Equations
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Design Equations
V
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Design Equations
V
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Example
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Example
€
V = FA01
−rA
⎛
⎝ ⎜
⎞
⎠ ⎟dX
0
X
∫00.01
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Example
0
€
V = FA01
−rA
⎛
⎝ ⎜
⎞
⎠ ⎟dX
0
X
∫00.01
![Page 22: Chemical Reaction Engineering Asynchronous Video Series](https://reader030.vdocument.in/reader030/viewer/2022032607/56813048550346895d95f2cd/html5/thumbnails/22.jpg)
Example
0
€
V = FA01
−rA
⎛
⎝ ⎜
⎞
⎠ ⎟dX
0
X
∫
X0.2 0.4 0.6 0.8
1020304050
€
1−r
A
00.01
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Reactor Sizing
• Given -rA as a function of conversion, -rA=f(X), one can size any type of reactor.
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Reactor Sizing
• Given -rA as a function of conversion, -rA=f(X), one can size any type of reactor.
• We do this by constructing a Levenspiel plot.
![Page 25: Chemical Reaction Engineering Asynchronous Video Series](https://reader030.vdocument.in/reader030/viewer/2022032607/56813048550346895d95f2cd/html5/thumbnails/25.jpg)
Reactor Sizing
• Given -rA as a function of conversion, -rA=f(X), one can size any type of reactor.
• We do this by constructing a Levenspiel plot.
• Here we plot either as a function of X.
€
FA0−rA
or 1−rA 0.2 0.4 0.6 0.8
1020304050
€
1−r
A
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Reactor Sizing
• Given -rA as a function of conversion, -rA=f(X), one can size any type of reactor.
• We do this by constructing a Levenspiel plot.
• Here we plot either as a function of X.
• For vs. X, the volume of a CSTR is:
€
FA0−rA
€
FA0−rA
or 1−rA
€
V =FA0 X − 0( )
−rA EXIT Equivalent to area of rectangleon a Levenspiel Plot
XEXIT
0.2 0.4 0.6 0.8
1020304050
€
1−r
A
![Page 27: Chemical Reaction Engineering Asynchronous Video Series](https://reader030.vdocument.in/reader030/viewer/2022032607/56813048550346895d95f2cd/html5/thumbnails/27.jpg)
Reactor Sizing
• Given -rA as a function of conversion, -rA=f(X), one can size any type of reactor.
• We do this by constructing a Levenspiel plot.
• Here we plot either as a function of X.
• For vs. X, the volume of a CSTR is:
• For vs. X, the volume of a PFR is:
€
FA0−rA
€
FA0−rA
or 1−rA
€
FA0−rA
Equivalent to area of rectangleon a Levenspiel Plot
XEXIT
€
VPFR = FA 0
−rA0
X
∫ dX
€
V =FA0 X − 0( )
−rA EXIT
= area under the curve=area
0.2 0.4 0.6 0.8
1020304050
€
1−r
A
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Numerical Evaluation of Integrals
• The integral to calculate the PFR volume can be evaluated using Simpson’s One-Third Rule:
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Numerical Evaluation of Integrals
• The integral to calculate the PFR volume can be evaluated using Simpson’s One-Third Rule (see Appendix A.4 on p. 924):
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Reactors In Series
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Reactors In Series
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Reactors In Series
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Reactors in Series
• Also consider a number of CSTRs in series:
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Reactors in Series
• Finally consider a number of CSTRs in series:
• We see that we approach the PFR reactor volume for a large number of CSTRs in series:
€
FA 0
− rA
X
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Summary
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Summary
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Summary
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Summary
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Summary