A chemostat of working volume 1000 mL is used to obtain steady-state data for metabolic flux analysis. Lactobacillus rhamnosus is cultured at pH 6.0 using sterile substrate medium containing 10 gL1 of glucose. Lactic acid production is coupled with energy metabolism in this organism. Table 1 show the profile data of the fermentation at different glucose concentrations of different flow rate.

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CHE505 REACTION ENGINEERING II

 

A chemostat of working volume 1000 mL is used to obtain steady-state data for metabolic
flux analysis. Lactobacillus rhamnosus is cultured at pH 6.0 using sterile substrate medium
containing 10 gL¹ of glucose. Lactic acid production is coupled with energy metabolism in
this organism. Table 1 show the profile data of the fermentation at different glucose
concentrations of different flow rate.
Table 1: Fermentation profile of Lactobacillus rhamnosus in chemostat.
Lactic acid
L. rhamnosus
Concentration
Glucose
Concentration
Time
Flow rate
Concentration
(h)
(ml/h)
(g/L)
(g/L)
(g/L)
300
0.5
10
3.3
280
0.63
6.19
5.1
220
0.926
4.38
6.9
168
1.09
3.047
8.7
7
140
1.33
1.106
10.5
9
120
1.43
0.466
12.8
11
110
1.43
0.285
13.1
15
48
1.23
0.078
16.4
a) By plotting the appropriate graphs, determine:
i) the maximum specific growth rate, µm (h¹¹),
ii) doubling time, T (h),
iii) saturation constant, K, (gL¹1),
iv) maximum biomass yield from glucose, Yxs (g cell g¹ glucose),
v) maintenance coefficient, m. (g glucose g¹ cells h¹¹)
vi) endogenous cell loss rate constant, kg (h*¹)
Show how the values are obtained graphically.
0
2
3
5
Transcribed Image Text:A chemostat of working volume 1000 mL is used to obtain steady-state data for metabolic flux analysis. Lactobacillus rhamnosus is cultured at pH 6.0 using sterile substrate medium containing 10 gL¹ of glucose. Lactic acid production is coupled with energy metabolism in this organism. Table 1 show the profile data of the fermentation at different glucose concentrations of different flow rate. Table 1: Fermentation profile of Lactobacillus rhamnosus in chemostat. Lactic acid L. rhamnosus Concentration Glucose Concentration Time Flow rate Concentration (h) (ml/h) (g/L) (g/L) (g/L) 300 0.5 10 3.3 280 0.63 6.19 5.1 220 0.926 4.38 6.9 168 1.09 3.047 8.7 7 140 1.33 1.106 10.5 9 120 1.43 0.466 12.8 11 110 1.43 0.285 13.1 15 48 1.23 0.078 16.4 a) By plotting the appropriate graphs, determine: i) the maximum specific growth rate, µm (h¹¹), ii) doubling time, T (h), iii) saturation constant, K, (gL¹1), iv) maximum biomass yield from glucose, Yxs (g cell g¹ glucose), v) maintenance coefficient, m. (g glucose g¹ cells h¹¹) vi) endogenous cell loss rate constant, kg (h*¹) Show how the values are obtained graphically. 0 2 3 5
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