The generation time of any substance is the time in which its concentration doubles. The growth of a certain bacteria follows first-order kinetics. If the population of bacteria triples in 96 h, what

Question

The generation time of any substance is the time in which its concentration doubles. The growth of a certain bacteria follows first-order kinetics. If the population of bacteria triples in 96 h, what is the generation time (in h) for it? (log 2 = 0.3, log 3 = 0.48)

Prashant Kotian · Accepted Answer

Correct answer: 0060. Growth constant k = (ln 3) / 96. Generation time (doubling time) t_d = (ln 2) / k = (ln 2) / (ln 3 / 96) = 96 × (log 2 / log 3) = 96 × (0.3 / 0.48) = 96 × (5 / 8) = 60 hours. Therefore, correct answer is 0060.

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