Biomedical Engineering Reference
In-Depth Information
8.12. We wish to treat a stream containing 150 mol-A/min at 1.2 mol-A/L to 99% conversion
with a batch reactor system. The overall reaction stoichiometry is given by
k
1
C
A
K
m
þC
A
1:2
A
R
þ
U
;
r ¼
/
0.8 moles
$
liter
1
$
min
1
and K
m
¼
0.012 mol/L. For each batch of opera-
tion, 3 h of total preparation time is needed. Determine the reactor size needed to
complete the task.
8.13. We wish to treat a stream containing 250 mol-A/min at 2 mol-A/L to 99.9% conversion
with a flow reactor system. The overall reaction stoichiometry is given by
where k
1
¼
k
1
C
A
K
m
þC
A
A
R
þ
U
;
r ¼
/
0.012 mol/L. It is decided that one PFR and one
CSTR were to be chosen to carry out the task. Determine the optimum arrangement and
reactor sizes needed.
8.14. We wish to treat a liquid stream of 360 L/min containing at 1.5 mol-A/L to 98%
conversion with a flow reactor system. The overall reaction stoichiometry is given by
where k
1
¼
0.75 mol/L/min and K
m
¼
k
1
C
A
K
m
þC
A
A
R
þ
U
;
r ¼
/
0.001 mol/L. It is decided that two CSTRs were to
be chosen to carry out the task. Determine the reactor sizes needed.
8.15. The enzymatic hydrolization of fish oil extracted from crude eel oil has been carried out
using lipase L. One of the desired products is docosahexaenic acid, which is used as
a medicine in China. For 40 mg of enzyme, the Michaelis
e
Menten saturation constant is
6.2
where k
1
¼
0.9 mol/L/min and K
m
¼
$
min
1
.
(a) Calculate the time necessary to reduce the concentration of fish oil from 1.4% to
0.2 vol %.
(b) Calculate the time necessary to reduce the concentration of fish oil from 1.2% to
0.1 vol % if the enzyme loading is 60 mg.
8.16. Beef catalase has been used to accelerate the decomposition of hydrogen peroxide to
yield water and oxygen. The concentration of hydrogen peroxide is given as a function of
time for a reaction mixture with a pH of 6.76 maintained at 30
C as shown in
Tabl e P8. 16
.
10
2
mmol/L and r
max
is 5.6 mmol
$
liter
1
TABLE P8.16
t, min
0
10
20
50
100
C
H
2
O
2
;
mol/L
0.02
0.01775
0.0158
0.0106
0.005
(a) Determine the Michaelis
e
Menten parameters: r
max
and K
m
.
(b) If the enzyme loading is tripled, what will be the substrate concentration be after
20 min?
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