GATE 2024 BT – Question 60
A fed batch process is running at quasi-steady state with respect to substrate and biomass concentration. At 2 h, the culture volume is 500 L with a constant sterile inlet feed at 50 L h$^{-1}$ of glucose. The culture kinetic parameters $\mu_m$ and $K_S$ are 0.2 h$^{-1}$ and 0.1 g L$^{-1}$, respectively.
The substrate concentration in the reactor will be ________ g L$^{-1}$ (rounded off to one decimal place).
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Correct answer: 0.09 to 0.11
Explanation
At quasi-steady state $\mu = D = \frac{F}{V} = \frac{50}{500} = 0.1$ h$^{-1}$. Then $0.2\frac{S}{0.1 + S} = 0.1$ gives $S = 0.1$ g/L.