Biomedical Engineering Reference
In-Depth Information
5.36. An ideal gas reaction is carried out in a CSTR
/ 2
C
The feed to the reactor is 50% A and 50% inert (by volume) at 1 atm and 100
C. The
reaction rate is given by:
A
r
A
¼ kC
A
; k ¼ 1
s
1
The inlet volumetric flow rate is 1 m
3
/s. Determine the reactor volume required for 80%
conversion of
A
.
5.37. The liquid phase reaction A
D is carried out in a PFR of volume 1 m
3
. The
inlet volumetric flow rate is 0.5 m
3
. The rate expression is
þ
B
/
C
þ
m
3
mol
k ¼ 1 10
4
r
A
¼ kC
A
C
B
;
s
10
3
mol/m
3
. Calculate the outlet fractional
The inlet concentrations of
A
and
B
are 1
conversion.
5.38. Reactant A reacts according to second-order kinetics (assume constant density,
isothermal operation), i.e.
kC
2
A
. The reaction is carried out in a flow reactor and
the outlet conversion is 95%. Suppose that a second reactor is added of identical volume
to the first and the overall conversion is 95%. By what factor do we increase the plant
throughput under the following scenarios? In each case you must justify your answer
using appropriate equations or logic.
(a) The original reactor is a PFR. The added unit is a PFR and the units are operated in
parallel.
(b) The original unit is a PFR. The added unit is a PFR and the units are operated in
series.
(c) The original unit is a CSTR. The added unit is a CSTR and the reactors are operated
in parallel.
(d) The original unit is a CSTR. The added unit is a CSTR and the units are operated in
series.
(e) The original unit is a CSTR. The added unit is a PFR which is run in series with the
PFR first.
5.39. Consider a liquid phase reaction occurring in two CSTR connected in series. The
volume of each reactor is 100 L. The reaction is A
r
A
¼
k
þ
B
/
C
;
r
A
¼
kC
A
C
B
with
$
s
1
.
The feed to the first reactor consists of 1 L/s of a solution of 1 mol/L of A and
0.2 mol/L of B. The feed to the second reactor is the effluent from the first reactor plus
another feed stream consisting of 1 L/s of a solution containing 0.8 mol/L of B (no A in
this stream).
(a) Calculate the molar flow rate of C from the first reactor.
(b) Calculate the molar flow rate of C from the second reactor.
5.40. Consider the ideal gas reaction
1L
$
mol
1
$
s
1
to give the rate in mol
$
L
1
k
¼
k
A
þ
B
/
C
þ
D
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