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Computation of the Volume of a CSTR and a PFR

​
conversion
0.8
option
CSTR
PFR
A harmful industrial organic compound, A, found in waste water, is transformed using an enzyme into a harmless product. Laboratory tests using a specific quantity of the enzyme in a mixed flow reactor give the following data:
C
A
o
mmol/
3
m
2
5
6
6
11
14
16
24
C
A
mmol/
3
m
0.5
3
1
2
6
10
8
4
τ
min
30
1
50
8
4
20
20
4
Here
τ
is the residence time in minutes and
C
A
0
and
C
A
are the inlet and outlet concentration of A in mmol/
3
m
.
This Demonstration computes the reactor volume
V
(expressed in
3
m
) needed to treat
F=0.1
3
m
/min
of this waste water for
C
A
0
=10mmol/
3
m
in order to achieve a user-specified value of the conversion
X=1-
C
A
C
A0
. Two types of reactor are considered: PFR (plug flow reactor) and CSTR (continuous stirred-tank reactor). The reactor residence time,
τ
in minutes, is equal to the shaded area shown in the figure.
For a PFR:
τ=
V
F
=
C
A
∫
C
A
0
-1
r
A
d
C
A
For a CSTR:
τ=
V
F
=
C
A
0
X
-
r
A
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