For the reaction $2 \mathrm{~A}+\mathrm{B} \rightarrow$ product, rate of the reaction is $15 \times 10^{-2}…

For the reaction $2 \mathrm{~A}+\mathrm{B} \rightarrow$ product, rate of the reaction is $15 \times 10^{-2} \mathrm{~mol} \mathrm{dm}^{-3} \mathrm{sec}^{-1}$. When $[\mathrm{A}]=0.3 \mathrm{~mol} \mathrm{dm}^{-3}$ and $[B]=0.05 \mathrm{~mol} \mathrm{dm}^{-3}$. What is the value of rate constant if reaction is first order in both the reactants?
  1. $8$
  2. $10$
  3. $2$
  4. $5$

Solution

$\begin{aligned} & \mathrm{r}=\mathrm{k}(\mathrm{A})(\mathrm{B}) \\ & \Rightarrow 15 \times 10^{-2}=\mathrm{k}(0.3)(0.05) \Rightarrow \mathrm{k}=10 \ell / \mathrm{mol}-\mathrm{sec}\end{aligned}$

Asked in: MHT CET 2022 (06 Aug Shift 2)

Practice more Chemical Kinetics questions on Aicharya