Question & Answer: A particular type of bacteria can under optimal conditions double every 22 minutes. Imagine…..

A particular type of bacteria can under optimal conditions double every 22 minutes. Imagine that just after a 6 L culture became saturated with bacteria, a researcher poured the saturated culture into an amount of fresh culture that was three times the initial amount of culture (e.g., 5 L original culture is poured into 15 L of fresh culture). How long would it take for this total volume of culture to become saturated again, assuming that optimal conditions prevailed and that no cells died? Enter your answer to the nearest minute.

5 L original culture is poured into 15 L of fresh culture. Total volume $=5+15=20$ L.

The ratio of final volume to initial volume $=\frac{20}{5}=4$

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A particular type of bacteria can under optimal conditions double every 22 minutes.

In $2 \times 22 =44$ minutes, the bacteria will grow $2 \times 2 =4$ times.

It will take 44 minutes for this total volume of culture to become saturated again