Consider an elementary reaction $\mathrm{A}(\mathrm{g})+\mathrm{B}(\mathrm{g}) \rightarrow…

Consider an elementary reaction
$\mathrm{A}(\mathrm{g})+\mathrm{B}(\mathrm{g}) \rightarrow \mathrm{C}(\mathrm{g})+\mathrm{D}(\mathrm{g})$
If the volume of reaction mixture is suddenly reduced to $\frac{1}{3}$ of its initial volume, the reaction rate will become ' $x$ ' times of the original reaction rate. The value of $x$ is :
  1. $3$
  2. $\frac{1}{9}$
  3. $9$
  4. $\frac{1}{3}$

Solution

Since, the reaction is elementary
$\text { Rate }=k[A]^1[B]^1$
When V is reduced to $\frac{1}{3} \mathrm{~V}$, concentration will be tripled.
Hence, rate $=9 \times(\text { rate })_{\text {initial }}$
$x=9$

Asked in: JEE Main 2025 (28 Jan Shift 2)

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