In a first order reaction $60 \%$ of the reactant converts into product in 45 minute. Calculate rate…

In a first order reaction $60 \%$ of the reactant converts into product in 45 minute. Calculate rate constant of the reaction.
  1. 0.0102 minute $^{-1}$
  2. 0.0204 minute $^{-1}$
  3. 0.0306 minute $^{-1}$
  4. 0.0408 minute $^{-1}$

Solution

$\begin{aligned} & \mathrm{kt}=\ln \frac{\left[\mathrm{A}_{\mathrm{o}}\right]}{\left[\mathrm{A}_{\mathrm{t}}\right]} \\ & \mathrm{k} \times 45 \text { minute }=\ln \frac{100}{40} \\ & \mathrm{k}=0.0203 \text { minute }^{-1}\end{aligned}$

Asked in: MHT CET 2024 (16 May Shift 2)

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