The rate law for the reaction $\mathrm{A}+\mathrm{B} \rightarrow$ product is rate $=k[A][B]$. When will the…

The rate law for the reaction $\mathrm{A}+\mathrm{B} \rightarrow$ product is rate $=k[A][B]$. When will the rate of reaction increase by factor two?
  1. $[\mathrm{A}]$ and $[\mathrm{B}]$ both are doubled
  2. $[A]$ is doubled and $[B]$ is kept constant
  3. $[\mathrm{B}]$ is doubled and $[\mathrm{A}]$ is halved
  4. $[\mathrm{A}]$ is kept constant $[\mathrm{B}]$ is halved

Solution

$\begin{aligned} & \text { Rate }=\mathrm{k}[\mathrm{A}][\mathrm{B}] \\ & (\text { Rate })_1=\mathrm{k} \times 2[\mathrm{~A}][\mathrm{B}] \\ & \frac{(\text { Rate })_1}{\text { Rate }}=\frac{\mathrm{k} 2[\mathrm{~A}][\mathrm{B}]}{\mathrm{k}[\mathrm{A}][\mathrm{B}]}=2 \\ & (\text { Rate })_1=2 \times \text { Rate }\end{aligned}$

Asked in: MHT CET 2023 (14 May Shift 2)

Practice more Chemical Kinetics questions on Aicharya