BotanyA 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?

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?

  1. A

    5 × 105 cells

  2. B

    25 × 105 cells

  3. C

    32 × 105 cells

  4. D

    125 × 105 cells

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    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 =12525=5 divisions 
    Hence, cell concentration per mL after 125 minutes = 25 × 105 cells
                                                                                        = 32 × 105 cells

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