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CUET · CHEMISTRY · PYQ PAPER 2025

A radioactive substance decays with a rate constant of 9.2 x 10-3 min-1 Time taken for \(75 \%\) of the sample to decompose is

  1. A 150.7 min
  2. B 155.5 min
  3. C 65.5 min
  4. D 60.4 min
Verified Solution

Answer & Solution

Correct Answer

(A) 150.7 min

Step-by-step Solution

Detailed explanation

\(t = \frac{1}{k} \ln\left(\frac{N_0}{N_t}\right)\) \(t = \frac{1}{9.2 \times 10^{-3} min^{-1}} \ln\left(\frac{1}{0.25}\right)\) \(t = \frac{1}{9.2 \times 10^{-3}} \ln(4) min\) \(t \approx 150.7 min\)
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