Question:
A bacterial culture contained 32 × 10⁶ cells after 2.5 hours of exponential growth. If the doubling time was 30 minutes, what was the initial population number in this culture?
A bacterial culture contained 32 × 10⁶ cells after 2.5 hours of exponential growth. If the doubling time was 30 minutes, what was the initial population number in this culture?
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Exponential growth is characterized by doubling the population at regular intervals, making it easy to calculate initial populations.
Updated On: May 5, 2025
- 20 × 10⁶ cells
- 40 × 10⁵ cells
- 16 × 10⁶ cells
- 10 × 10⁵ cells
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The Correct Option is D
Solution and Explanation
The population doubles every 30 minutes. After 2.5 hours (which is 5 doubling periods), the population increases by a factor of 2⁵ = 32. Thus, the initial population was 32 × 10⁶ / 32 = 10 × 10⁵ cells.
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