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JEE MAIN 2025
28-01-2025 SHIFT-2
Question
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 :
Select the correct option:
A
$\frac{1}{3}$
B
3
C
$\frac{1}{9}$
D
9
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
$\quad R_{1}=K[A]^{1}[B]^{1}$
$\mathrm{R}_{1}=\mathrm{K}\left[\frac{\mathrm{n}_{\mathrm{A}}} {\mathrm{V}}\right]^{1}\left[\frac{\mathrm{n}_{\mathrm{B}}}{\mathrm{V}}\right]^{1}$
$\mathrm{R}_{2}=\mathrm{K}\left[\frac{3 \mathrm{n}_{\mathrm{A}}}{\mathrm{V}}\right]^{1}\left[\frac{3 \mathrm{n}_{\mathrm{B}}}{\mathrm{V}}\right]^{1}$
$\mathrm{R}_{2}=9 \mathrm{R}_{1}$
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