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BioTechnology
QUESTION #10566
Question 1
A culture doubles every 2 hours. Starting from $x_0 = 0.1$ g/L, the biomass after 8 hours is:
Correct Answer Explanation
During exponential growth: $x = x_0 \cdot 2^{n}$ where $n$ is the number of doublings. In 8 hours with a doubling time $t_d = 2$ h: $n = 8/2 = 4$ doublings. Therefore: $x = 0.1 \times 2^4 = 0.1 \times 16 = \mathbf{1.6}$ g/L. Equivalently, using $\mu = \ln2/t_d = 0.347$ hโปยน: $x = 0.1 \cdot e^{0.347 \times 8} = 1.6$ g/L.
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