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 \(\text{log } 2 = 0.3010\))
- A 6.96 months
- B 3.48 months
- C 1.74 months
- D 27.8 months
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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