Calculate the time required for reactant to decrease the concentration from $100 \%$ to $20 \%$, if rate…

Calculate the time required for reactant to decrease the concentration from $100 \%$ to $20 \%$, if rate constant of first order reaction is 0.02303 hours $^{-1}$.
  1. 28 hour
  2. 42 hour
  3. 56 hour
  4. 70 hour

Solution

$\begin{aligned} & \mathrm{kt}=\ln \frac{\left[\mathrm{A}_0\right]}{\mathrm{A}} \\ & 0.02303 \text { hour }^{-1} \times \mathrm{t}=\ln \frac{100}{20} \\ & \mathrm{t}=69.88 \text { hour } \approx 70 \text { hour }\end{aligned}$

Asked in: MHT CET 2024 (02 May Shift 1)

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