Question:

If 75$\%$ of a first-order reaction gets completed in 32 minutes, the time taken for 50$\%$ completion of this reaction is:

Updated On: Oct 29, 2024
  • 16 minutes
  • 78 minutes
  • 8 minutes
  • 4 minutes
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The Correct Option is C

Solution and Explanation

\(\text{For a first-order reaction, the relationship between time and completion is given by:} \\ t = \frac{0.693}{k} \\ \text{For 75\% completion, the time is related to } k \text{ as follows:} \\ t_{75\%} = \frac{t_{50\%}}{0.693 \times 11} \\ \text{Given that the 75\% completion time is 32 minutes, the time for 50\% completion is:} \\ t_{50\%} = \frac{32}{0.693} \approx 8 \, \text{minutes}\)
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