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ExamsNEETChemistry

The rate constant of a first order reaction is 0.0693 min\( ^{-1} \) Time (in minutes) required for reducing an initial concentration of 20 mol \( l i t^{-1} \) to 2.5 mol \( l i t^{-1} \) is :

  1. 40
  2. 30
  3. 20
  4. 10

Correct answer: 30

Solution

For a first-order reaction, \(t=\frac{2.303}{k}\log\frac{C_0}{C_t}\). Since the concentration changes from 20 to 2.5, the ratio is 8, so the time comes out to 30 minutes. This matches the given rate constant exactly.

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