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Some bacteria can reproduce exponentially with a doubling time of 20 minutes. A.

ID: 52397 • Letter: S

Question

Some bacteria can reproduce exponentially with a doubling time of 20 minutes.

A. If you put one bacterium in a Petri dish, write a number balance for the dish assuming no inflow or outflow of bacteria. Write it in words and as a mathematical equation.
B. What is the value of the growth rate constant r?
C. Starting with one bacterium, how long would the bacteria have to grow exponentially to be equivalent to the mass of the Earth? Assume one bacterium weighs 6.54×10–14 g and the Earth weighs 5.97×1027 g.

Explanation / Answer

Some bacteria can reproduce exponentially with a doubling time of 20 minutes. A.

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