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A bacterium divides every 35 minutes. If a culture containing 10⁵ cells per ml is grown for 175 minutes, what will be the cell concentration per ml after 175 minutes?

1. 5 × 10⁵ cells
2. 35 × 10⁵ cells
3. 32 × 10⁵ cells
4. 175 × 10⁵ cells

Correct answer: 32 × 10⁵ cells

Solution

A division every 35 minutes means 175 minutes gives 5 doublings. Starting from 10^5 cells/ml, doubling 5 times multiplies the count by 2^5 = 32, giving 32 × 10^5 cells/ml.

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