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CUET · CHEMISTRY · PYQ PAPER 2023

A first order reaction requires 6.96 months for the concentration of reactant A to be reduced to 25% of its original value. The half-life of the reaction is:
(Given \(\text{log } 2 = 0.3010\))

  1. A 6.96 months
  2. B 3.48 months
  3. C 1.74 months
  4. D 27.8 months
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Answer & Solution

Correct Answer

(B) 3.48 months

Step-by-step Solution

Detailed explanation

\( t_{1/2} = t \frac{\ln 2}{\ln \left(\frac{[A]_0}{[A]_t}\right)} \) \( t_{1/2} = 6.96 \text{ months} \times \frac{\ln 2}{\ln \left(\frac{[A]_0}{0.25[A]_0}\right)} \) \( t_{1/2} = 6.96 \text{ months} \times \frac{\ln 2}{\ln 4} \)…
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