CUET · CHEMISTRY · PYQ PAPER 2025

Which of the following statements, for the reaction of type \(A \rightarrow B\), are correct?
(A) The initial rates for a second order reaction depend on the square of the concentration of the reactant
(B) The half-life is the time for half of the reactant to be consumed
(C) The expression for rate of second order reaction is \(r = k[2A]^2\)
(D) The half-life of a second-order reaction depends on the initial concentration
Choose the correct answer from the options given below:

A (A), (B) and (D) only
B (A), (B) and (C) only
C (A), (B), (C) and (D)
D (B), (C) and (D) only

Verified Solution

Answer & Solution

Correct Answer

(A) (A), (B) and (D) only

Step-by-step Solution

Detailed explanation

(A) Correct. For a second-order reaction, \(r = k[A]^2\). (B) Correct. Definition of half-life. (C) Incorrect. The rate expression is \(r = k[A]^2\). (D) Correct. For a second-order reaction, \(t_{1/2} = \frac{1}{k[A]_0}\). Statements (A), (B) and (D) are correct. (A), (B) and…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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