A growing bacterial culture with a doubling the of 20 minutes reaches cell density of 3 x 108cell ml in 4 hours. The time it would take to reach 2 x 108 cells would be____________minutes, [answer innearest integer]Correct answer is '220'. Can you explain this answer?

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A growing bacterial culture with a doubling the of 20 minutes reaches cell density of 3 x 10⁸ cell ml in 4 hours. The time it would take to reach 2 x 10⁸ cells would be____________minutes, [answer innearest integer]

Correct answer is '220'. Can you explain this answer?

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A growing bacterial culture with a doubling the of 20 minutes reaches ...

As g = 20 minutes
t = 4 horns = 240 minutes.

N = N₀ x 2ⁿ
3 x 10⁸ = N x 2²¹ => 3 x 10⁸ = N₀ x 4096

From here we get the initial number of cells/ml now
N = N₀ x 2ⁿ

n=11
Generation time = 20 minutes
Total time taken to reach such 2 x 10⁸ cells = 20 x 11 = 220 minutes

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A growing bacterial culture with a doubling the of 20 minutes reaches cell density of 3 x 108cell ml in 4 hours. The time it would take to reach 2 x 108 cells would be____________minutes, [answer innearest integer]Correct answer is '220'. Can you explain this answer?

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