A zero order reaction has half life time of 0.2 minute. If initial concentration of reactant is $0.2…

A zero order reaction has half life time of 0.2 minute. If initial concentration of reactant is $0.2 \mathrm{~mol} \mathrm{dm}^{-3}$. Find rate constant.
  1. $0.2 \mathrm{dm}^3 \mathrm{~min}^{-1}$
  2. $0.5 \mathrm{dm}^3 \mathrm{~min}^{-1}$
  3. $1.4 \mathrm{dm}^3 \mathrm{~min}^{-1}$
  4. $6.0 \mathrm{dm}^3 \mathrm{~min}^{-1}$

Solution

$\begin{aligned} & \text {For zero order reaction, } \mathrm{t}_{1 / 2}=\frac{[\mathrm{A}]_0}{2 \mathrm{k}} \\ & \quad 0.2 \mathrm{~min}=\frac{0.2 \mathrm{~mol} \mathrm{dm}^{-3}}{2 \mathrm{k}} \\ & \therefore \quad \mathrm{k}=0.5 \mathrm{~mol} \mathrm{dm}^{-3} \mathrm{~min}^{-1}\end{aligned}$

Asked in: MHT CET 2024 (16 May Shift 1)

Practice more Chemical Kinetics questions on Aicharya