lOMoARcPSD| 59078336
Chemical Reaction Engineering
(
CRE) is the
field that studies the rates and mechanisms of
chemical reactions and the design of the reactors in
which they take place.
Lecture2
lOMoARcPSD| 59078336
Lecture 2
Review of Lecture 1
Definition of
Conversion, X
Develop the Design
Equations in terms of
X
Size CSTRs and
PFRs given –r = f(X)
Conversion for
Reactors in Series
Review the Fall of the
Tower of CRE
Chapter 2
lOMoARcPSD| 59078336
Review Lecture 1
Differential
Integral
Algebraic
Reactor
The GMBE appliedto the fourmajor reactortypes
and the general reactionA
(
B)
F
A
0
F
A
r
A
0
=
A
A
N
N
A
A
rV
dN
t
N
A
t
=
A
A
F
F
A
A
dr
dF
V
0
F
A
V
=
A
F
A
dF
W
F
A
R
e
a
c
t
o
r
M
o
l
e
B
a
l
a
n
c
e
s
S
u
m
m
a
r
y
lOMoARcPSD| 59078336
Batch dNA
= r V
A
dt
CSTR
V
=
PFR dFA
=
r
A
dV
PBR dF
A
= r
A
dW
lOMoARcPSD| 59078336
Review Lecture 1
C
S
T
R
E
x
a
m
p
l
e
P
r
o
b
l
e
m
0
0
0
0
3
0
min
dm
10
A
A
A
F
C
C
υ
υ
=
=
A
A
A
A
F
C
C
C
υ
υυ
=
=
==
0
3
0
0.1
min
dm
10
υ
=
υ
0
F
A
=
υ
0
C
A
Liquidphase
V
=
?
Given the following information, Find V
lOMoARcPSD| 59078336
Review Lecture 1
CSTR – Example Problem
A
A
A
A
r
=
0
0
0
lOMoARcPSD| 59078336
Review Lecture 1
(1) Mole Balance:
FA0 FA υ0CA0 υC
υ
[C C ]
V = =
rA rA
(2) Rate Law:
rA =kCA
(3) Stoichiometry:
F FA
lOMoARcPSD| 59078336
Review Lecture 1
C
A
= = A υ υ
0
lOMoARcPSD| 59078336
Review Lecture 1
V =
C
S
T
R
E
x
a
m
p
l
e
P
r
o
b
l
e
m
(4)
Combine
:
υ
0
C
A
0
C
A
[
]
kC
A
(5)
Evaluate
:
]
[
)
(
)
(
[
]
(
)
)
(
3
0
1
0
0
3
0
0.230.1
0.1
101
0.23
min
0.1
0.1
min
10
0.1
dm
C
C
C
dm
C
C
A
A
A
A
=
=
3
391
900
dm
V
=
=
lOMoARcPSD| 59078336
Review Lecture 1
A
V =
lOMoARcPSD| 59078336
a
D
e
f
i
n
e
c
o
n
v
e
r
s
i
o
n
,
X
c C d D
+
Consider the generic reaction:
D
a
d
C
a
c
B
a
b
+
Chose limiting reactant A as basis of calculation:
fed
A
moles
moles A reacted
Define conversion, X
Chapter 2
lOMoARcPSD| 59078336
A b B+ A
+
X =
lOMoARcPSD| 59078336
Batch
Moles A Moles A
=
remaining
initially
N
A
= N
A
0
N
dN
A
= −0 N dX
A
0
dN
A
dX
X
reacted
MolesA
A
0
Chapter 2
lOMoARcPSD| 59078336
=−N
A
0
= r V
A
dt dt
lOMoARcPSD| 59078336
d
B
a
t
c
h
=
A
t
N
0
The necessary
t
to achieve conversion X.
X
tX
t
t
X
=
=
=
=
0
0
Chapter 2
lOMoARcPSD| 59078336
NA =− r VA
dt NA0
Integrating,
X
dX
r V
0 A
lOMoARcPSD| 59078336
a
C
S
T
R
c C d D
+
Consider the generic reaction:
D
a
d
C
a
c
B
a
b
+
Chose limiting reactant A as basis of calculation:
fed
A
moles
moles A reacted
Define conversion, X
Chapter 2
lOMoARcPSD| 59078336
A b B+ A
+
X =
CSTR
Steady State
lOMoARcPSD| 59078336
Well Mixed V =
dN
A
dt
=
0
rdVrV
A
A
=
F
A
0
F
A
r
A
Chapter 2
lOMoARcPSD| 59078336
C
CSTR volumenecessaryto achieveconversionX.
F
A
0
F
0
F
0
X
(
)
r
A
A
r
FX
0
FX
F
reacted
MolesA
entering
MolesA
A
A
0
0
=
+
=
0
F
F
rdV
A
Chapter 2

Preview text:

lOMoAR cPSD| 59078336 Lecture2
Chemical Reaction Engineering ( CRE) is the
field that studies the rates and mechanisms of
chemical reactions and the design of the reactors in which they take place. lOMoAR cPSD| 59078336 Lecture 2 Chapter 2 Review of Lecture 1 Definition of Conversion, X Develop the Design Equations in terms of X A Size CSTRs and PFRs given –r = f(X) Conversion for Reactors in Series Review the Fall of the Tower of CRE lOMoAR cPSD| 59078336 Review Lecture 1 Differential Reactor Mole Balances Summary
The GMBE appliedto the fourmajor reactortypes and ( → the general reactionA B) Reactor Algebraic Integral N N A A dNA t = rV N A 0 A t F AF 0 Ar A F F A A dF V = A dr F A A 0 V F F A A dF W = A ′ lOMoAR cPSD| 59078336 Batch dNA = r VA dt CSTR V = PFR dFA = rA dV PBR dF A = r AdW lOMoAR cPSD| 59078336 Review Lecture 1 CSTR – Example Problem
Given the following information, Find V 3 dm υ0 = 3 10 min dm υυ== 10 0 C min A 0 V =? CA =0.1 C A 0 A F υ = C 0 0 A 0 A F υ = C A Liquidphase υ =υ 0 F = C A υ 0 A lOMoAR cPSD| 59078336 Review Lecture 1 CSTR – Example Problem 0 A 0 A 0 A = − A r lOMoAR cPSD| 59078336 Review Lecture 1 (1) Mole Balance: υ F [
A0 − FA υ0CA0 −υC C C ] V = = −r A rA (2) Rate Law: −rA =kCA (3) Stoichiometry: F FA lOMoAR cPSD| 59078336 Review Lecture 1 CA = = A υ υ0 lOMoAR cPSD| 59078336 Review Lecture 1 V = CSTR – Example Problem (4) Combine: υ C [ −C ] 0 A 0 A kC A (5) Evaluate: C = C 0.1 A0 3 10dm [CA C 0.1 0 A0 ] min − [ 101 ] 0.1 3 ( − = dm 1 0.23min 0.1C ( A0 0.230.1 ( ) ) ) ) 900 3 ( V = =391 dm lOMoAR cPSD| 59078336 Review Lecture 1 A V = lOMoAR cPSD| 59078336 a Chapter 2 Define conversion, X
Consider the generic reaction: → + c C d D
Chose limiting reactant A as basis of calculation: b c d B → + C D a a a Define conversion, X moles A reacted A moles fed lOMoAR cPSD| 59078336 A b B+ A + X = lOMoAR cPSD| 59078336 Batch Chapter 2 Moles A Moles A = MolesAremaining r eacted initially A 0 X NA = NA0 − N
dNA = −0 N dXA0 dNA dX lOMoAR cPSD| 59078336 =−N A0 = r VA dt dt lOMoAR cPSD| 59078336 d Chapter 2 Batch t =0 0 X = t = = tX X t N = A 0
The necessary t to achieve conversion X. lOMoAR cPSD| 59078336 NA =− r VA dt NA0 Integrating, X dXr V 0 A lOMoAR cPSD| 59078336 a Chapter 2 CSTR
Consider the generic reaction: → + c C d D
Chose limiting reactant A as basis of calculation: b c d B → + C D a a a Define conversion, X moles A reacted A moles fed lOMoAR cPSD| 59078336 A b B+ A + X = CSTR Steady State lOMoAR cPSD| 59078336 Well Mixed V = Chapter 2 dN A =0 dt F F A 0 Ar A rdVrV= A A lOMoAR cPSD| 59078336 C Chapter 2 MolesA MolesA = − entering r eacted FA 0 FX A 0 F F rdV −+ A A =0 F F ( −F X) A 0 A 0 A 0 −r A A FX 0 − A r
CSTR volumenecessaryto achieveconversionX.