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GATE 2022 BT – Question 33

Fundamentals of Biological Engineering · Bioreaction Engineering: Kinetics of cell growth, substrate utilization and product formation, structured and unstructured models · 1 mark · Numerical answer

The specific growth rate of a yeast having a doubling time of 0.693 h (rounded off to nearest integer) is___________h-1.

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Correct answer: 1

Explanation

For exponential growth, the **doubling time** $t_d$ and the **specific growth rate** $\mu$ are related by $X=X_0e^{\mu t}$ and $X=2X_0$ at $t=t_d$:

$$\mu=\frac{\ln2}{t_d}=\frac{0.693}{0.693\text{ h}}\approx\mathbf{1\ h^{-1}}.$$