Calculate the volumetric substrate utilization rate, Physics

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Batch fermentation

For aerobic cultivation of yeast the cell mass concentration, Xt, and the concentration of the limiting substrate component (glucose), St, has been determined.

Time (min)

0

30

60

90

120

150

180

210

240

Xt (gDCM*/l)

5.0

5.2

6.6

8.4

10.8

13.8

17.7

19.0

20.0

St ( g glu/l)

30.0

29.6

26.8

23.2

18.4

12.4

4.6

2.0

0.0

*Dry Cell Mass

a. Calculate the average cell mass yield factor, YX/S in this fermentation.

b. Calculate the maximum specific growth rate, mMAX, in the logarithmic growth phase.

c. Calculate the volumetric growth rate, dX/dt = rX at time=125 min.

d. Calculate the volumetric substrate utilization rate, rS, and the specific substrate utilization rate, qS, of the yeast at time = 170 min, assuming that the average yield factor can be used to determine rS.

e.Calculate the concentration of left over substrate at time = 130, again assuming that the average yield factor can be used.


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