In a first order reaction $60 \%$ of reactant decomposes in 4.606 $\min$. What is half life of reaction?…

In a first order reaction $60 \%$ of reactant decomposes in 4.606 $\min$. What is half life of reaction? $\left(\mathrm{k}=0.1989 \mathrm{~min}^{-1}\right)$
  1. 3.48 min
  2. 2.4 min
  3. 3.0 min
  4. 1.74 min

Solution

For 1st order reaction, $\begin{aligned} & \mathrm{t}_{1 / 2}=\frac{\ln 2}{\mathrm{k}}=\frac{0.693}{0.1989} \\ & \mathrm{t}_{1 / 2}=3.48 \mathrm{~min} \end{aligned}$

Asked in: MHT CET 2021 (24 Sep Shift 2)

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