Biomedical Engineering Reference
In-Depth Information
TABLE P11.7
dCont'd
Time
OUR, g/h
X
, g/L
Time
OUR, g/h
X
, g/L
3
0.153
0.76
14
1.26
13.00
4
0.198
1.06
15
1.58
13.37
5
0.273
1.56
16
1.26
14.47
6
0.393
2.23
17
1.12
15.37
7
0.493
2.85
18
1.20
16.12
8
0.642
4.15
19
0.99
16.18
9
0.915
5.37
20
0.86
16.67
10
1.031
7.59
21
0.90
17.01
11.8.
Formation of lactic acid from glucose is realized in a batch reactor using Streptococcus
lactis. The reactor is initially charged with 5 L medium containing 5 g/L glucose and
0.1 g/L cell biomass. There is no lactic acid present initially. The following information
was obtained from experimental studies.
2
h
1
002
h
1
m
max
¼
0
:
; K
S
¼
200
mg
=
L
; k
d
¼
0
:
;
YF
X=S
¼
0
:
4
g-X
=
g-S
; m
P
¼
0
:
1 m
G
:
(a)
Plot the variations of S, X, and P with reaction time.
(b)
Determine the maximum production rate of lactic acid in g/(day
$
L) if with each
batch a reactor loading, unloading, and sterilization time of 3.5 h is needed.
11.9.
The kinetics of microbial growth, substrate consumption, and mixed growth-
associated product formation for a batch culture are given by the following equations:
m
max
S
K
S
þ S
X
r
S
¼
m
max
S
K
S
þ S
r
X
¼
X
YF
X=S
m
max
S
r
P
¼ a
K
S
þ S
X þ bX
0.7 h
1
, K
S
¼
The kinetic parameters are
m
max
¼
20 mg/L, YF
X/S
¼
0.5 g-X/g-S,
0.02 h
1
. The reactor is initially charged with a medium containing 1 g/
L of substrate and 0.02 g/L cells. It takes 4 h to prepare, load, and unload the reactor.
Determine the maximum production rate of P in g/(L
$
h).
11.10.
The data on the specific growth rate and specific rate of penicillin synthesis with
glucose as the limiting substrate, are given in
Table P11.10
below (D.D.Y. Ryu and J.
Hospodka, 1980 “Quantitative Physiology of Penicillium Chrysogenum in Penicillin
Fermentation”, Biotechnol. Bioeng., 22(2): 289-298.)
a ¼
0.1,
b ¼
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