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CUET · CHEMISTRY · PYQ PAPER 2025

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The speed at which a chemical reaction takes place is called the rate of reaction. The rate of reaction depends on various factors like concentration of the reactants, temperature, etc. The relation between the rate of reaction and the concentration of reacting species is represented by the equation r = k[A]x[B]y, where x and y are the order of the reaction with respect to the reactants A and B, respectively. The overall order of the reaction is x + y. The rate of reaction can also be increased by the use of a catalyst which provides an alternate pathway of lower activation energy. It increases the rate of forward and backward reaction to an equal extent. It does not alter the Gibbs energy of the reaction.
The rate of a gaseous reaction is given by r = k[A] [B]. If the volume of the reaction vessel is suddenly reduced to (1/4)th of its initial value, the reaction rate relating to the initial rate will become

  1. A 2 times
  2. B 1/4 times
  3. C 16 times
  4. D 1/16 times
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Answer & Solution

Correct Answer

(C) 16 times

Step-by-step Solution

Detailed explanation

Initial rate: \( r_1 = k[A]_1[B]_1 \) New concentrations: \( [A]_2 = \frac{n_A}{V/4} = 4[A]_1 \), \( [B]_2 = \frac{n_B}{V/4} = 4[B]_1 \) New rate: \( r_2 = k[A]_2[B]_2 = k(4[A]_1)(4[B]_1) = 16 k[A]_1[B]_1 \) Thus, \( r_2 = 16 r_1 \)
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