Proteus vulgaris has a doubling time of roughly 28 minutes. If an initial population of 500 cells is allowed to grow for 6 hours in ideal co

Question

Proteus vulgaris has a doubling time of roughly 28 minutes. If an initial population of 500 cells is allowed to grow for 6 hours in ideal conditions, what will be the final population? Use three significant figures for your final answer.

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Jezebel 6 months 2021-07-23T09:10:52+00:00 1 Answers 18 views 0

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    2021-07-23T09:12:13+00:00

    Answer: The final population of Proteus vulgaris after 6 hours is 3.71\times 10^{6}cells

    Explanation:

    We are given:

    Proteus vulgaris divides and doubles every 28 minutes

    Total time given = 6 hours = 360 min      (Conversion factor: 1 hr = 60 min)

    Number of times Proteus vulgaris doubles in 6 hours = \frac{360min}{28min}=12.857times

    Calculating the number of bacteria after 6 hours under ideal conditions:

    We are given:

    Initial population = 500 cells

    Number of times it doubles = 12.857 times

    Final Proteus vulgaris population = 500\times 2^{12.857}=3709476.8=3.71\times 10^{6}cells

    Hence, the final population of Proteus vulgaris after 6 hours is 3.71\times 10^{6}cells

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