Biomedical Engineering Reference
In-Depth Information
TABLE 4.2
Reaction Residence Time Requirement and Concentration Profile for Single Reactions in an
Isothermal Constant Volume Batch Reactor for Some Simple Kinetic ModelsdCont'd
10. Reversible decomposition
A
B
þ
C
;
r
¼
k
f
C
A
k
b
C
B
C
C
:
%
q
½k
f
þ k
b
ð2
C
A
0
þ
2
4k
2
A
; b ¼ k
f
þ k
b
ð2
C
A
0
þ
C
B
0
þ
C
C
0
Þ
C
B
0
þ
C
C
0
Þ
b
ð
C
A
0
þ
C
B
0
Þð
C
A
0
þ
C
C
0
Þ
a b
2
að2k
b
C
A
0
bÞ exp
t
bð2k
b
C
A
0
aÞ
2
a b
ln
ð2k
b
C
A
0
aÞð2k
b
C
A
bÞ
1
2k
b
t ¼
;C
A
¼
a b
2
ð2k
b
C
A
0
bÞð2k
b
C
A
aÞ
ð2k
b
C
A
0
bÞ exp
t
ð2k
b
C
A
0
aÞ
C
B
¼
C
A0
þ
C
B0
C
A
;C
C
¼
C
A0
þ
C
C0
C
A
11. Reversible codimerization
A
þ
B
C
;
r
¼
k
f
C
A
C
B
k
b
C
C
:
%
r
h
C
A
0
C
B
0
i
2
; b ¼ k
f
ð
C
A
0
C
B
0
Þk
b
k
f
k
b
þ 4k
f
k
b
ð
C
A
0
þ
C
C
0
Þ
A
a b
2
A
ð2k
f
C
A
0
bÞ exp
t
bð2k
f
C
A
0
aÞ
ln
ð2k
f
C
A
0
aÞð2k
f
C
A
bÞ
2
b a
1
2k
f
t ¼
;C
A
¼
a b
2
ð2k
f
C
A
0
bÞð2k
f
C
A
aÞ
ð2k
f
C
A
0
bÞ exp
t
ð2k
f
C
A
0
aÞ
C
B
¼
C
B0
C
A0
þ
C
A
;C
C
¼
C
A0
þ
C
C0
C
A
12. Reversible bimolecular
A
þ
B
C
þ D;
r
¼
k
ð
C
A
C
B
C
C
C
D
=
K
C
Þ
:
%
q
a
2
þ 4ðK
C
1Þð
a ¼ K
C
ð
C
A
0
C
B
0
Þ2
C
A
0
C
C
0
C
D0
;A
; b ¼ a
C
A
0
þ
C
C
0
Þð
C
A
0
þ
C
D0
Þ
2K
C
kðb aÞ
ln
½2ðK
C
1Þ
C
A
0
a½2ðK
C
1Þ
C
A
b
t ¼
;
½2ðK
C
1Þ
C
A
0
b½2ðK
C
1Þ
C
A
a
a b
A
½2ðK
C
1Þ
C
A
0
b exp
2K
C
kt
b½2ð
K
C
1Þ
C
A
0
a
1
2ðK
C
1Þ
C
A
¼
a b
½2ðK
C
1Þ
C
A
0
b exp
2K
C
kt
½2ðK
C
1Þ
C
A
0
a
C
B
¼
C
B0
C
A0
þ
C
A
; C
C
¼
C
A0
þ
C
C0
C
A
;C
D
¼
C
A0
þ
C
D
0
C
A
Search WWH ::
Custom Search