A prokaryotic cell divides every 25 minutes. If a culture containing 105 cells per mL is grown for 125 minutes, what will be the cell concentration per mL after 125 minutes?

According to given question, a prokaryotic cell divides every 25 minutes (given).Hence, in one division of 25 minutes, two prokaryotic cells are formed.Since, a culture contain 105 cells (given)∴Total division in 125 minutes =12525=5 divisions Hence, cell concentration per mL after 125 minutes = 25 × 105 cells = 32 × 105 cells

A prokaryotic cell divides every 25 minutes. If a culture containing 105 cells per mL is grown for 125 minutes, what will be the cell concentration per mL after 125 minutes?

According to given question, a prokaryotic cell divides every 25 minutes (given).Hence, in one division of 25 minutes, two prokaryotic cells are formed.Since, a culture contain 105 cells (given)∴Total division in 125 minutes =12525=5 divisions Hence, cell concentration per mL after 125 minutes = 25 × 105 cells = 32 × 105 cells

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A prokaryotic cell divides every 25 minutes. If a culture containing 10⁵ cells per mL is grown for 125 minutes, what will be the cell concentration per mL after 125 minutes?

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32 × 10⁵ cells

5 × 10⁵ cells

125 × 10⁵ cells

25 × 10⁵ cells

answer is C.

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Detailed Solution

According to given question, a prokaryotic cell divides every 25 minutes (given).
Hence, in one division of 25 minutes, two prokaryotic cells are formed.
Since, a culture contain 10⁵ cells (given)
$∴$ Total division in 125 minutes $\begin{array}{l} = \frac{125}{25} \\ = 5 divisions \end{array}$
Hence, cell concentration per mL after 125 minutes = 2⁵ × 10⁵ cells
= 32 × 10⁵ cells