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In a fed-batch culture, 200 g . L–1 glucose solution is added at a flow rate of 50 L . h–1. The initial culture volume (at quasi steady state) and the initial cell concentration are 600 L and 20 g . L–1, respectively. The yield coefficient (Yx/s) is 0.5 g cell mass . g substrate–1. The cell concentration (g . L–1) at quasi steady state at t = 8 h is
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- 40
- 52
- 60
- 68
Correct Option: B
For Quasi steady state x = x0 + FyX/S S0 t
x0 = 20 × 600 = 12000
F = 50 YX/S = 0.5
S0 = 200
t = 8
∴ x = 52000 g/1000 lit = 52 g/lit.