JEE Main 2025 Jan 28 Shift 2, Chemistry Q1: Factors Affecting The Rate of a Chemical Reaction

JEE Main2025Jan 28, Shift 2Chemistry

consider the elementary reaction

$A (g) + B (g) \to C (g) + D (g)$

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 :

A
$\frac{1}{9}$
B
$9$
C
$\frac{1}{3}$
D
$3$

Solution

For the elementary reaction, the rate law is $R = k [A] [B]$ .

Compressing the mixture to one-third of its volume triples the concentration of every gaseous species, so $[A]$ becomes $3 [A]$ and $[B]$ becomes $3 [B]$ .

The new rate is $R^{'} = k (3 [A]) (3 [B]) = 9 k [A] [B] = 9 R$ .

$∴ x = 9$ .

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JEE Main 2025 Jan 28 Shift 2, Chemistry Q1: Factors Affecting The Rate of a Chemical Reaction

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