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batch fermentationfor aerobic cultivation of

Batch fermentation

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

Time (min)	0	30	60	90	120	150	180	210	240
X_t (gDCM*/l)	5.0	5.2	6.6	8.4	10.8	13.8	17.7	19.0	20.0
S_t( 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, Y_X/Sin this fermentation.

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

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

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

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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