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What is the generation time of a bacterial population that increases from 10,000 cells to 10,000,000 cells in four hours of growth?(a) 24 minutes(b) 30 minutes(c) 34 minutes(d) 60 minutes |
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Answer» Right option is (a) 24 minutes The explanation is: The generation time is the time interval required for the cells (or population) to divide. G (generation time) = (time, in minutes or hours)/n(number of generations) G = t/n t = time interval in hours or minutes B = number of bacteria at the beginning of a time interval b = number of bacteria at the end of the time interval n = number of generations (number of times the cell population doubles during the time interval) b = B x 2^n (This equation is an expression of growth by binary fission) Solve for n: Logb = logB + nlog2 n = (frac{log_b – log_B}{log2}) n = (frac{log_b – log_B}{.301}) n = 3.3 logb/B G = t/n |
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