AIIMS2019Chemistry-Chemical Kinetics

AIIMS 2019 Chemistry Zero Order Reactions MCQ Question

Type: MCQ-numerical-Medium-Class 12

Assertion: If in zero order reaction, the concentration of the reactant is doubled, the half-life period is also doubled.

Reason: For a zero order reaction, the rate of the reaction is independent of initial concentration.

A

If both assertion and reason are true and reason is the correct explanation of assertion.

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion is true but reason is false.

D

If both assertion and reason are false.

Correct Answer

Option B

Detailed Explanation

In a zero-order reaction, the half-life (t₁/₂) is given by the equation t1/2=[A0]2kt_{1/2} = \frac{[A_0]}{2k}, where [A0][A_0] is the initial concentration of the reactant and kk is the rate constant. When the concentration [A0][A_0] is doubled, the new half-life becomes t1/2=2[A0]2k=[A0]k=2t1/2t_{1/2}' = \frac{2[A_0]}{2k} = \frac{[A_0]}{k} = 2t_{1/2}, indicating that the half-life is indeed doubled, thus supporting option B.

Option A is incorrect because the half-life is not halved; option C is also incorrect since the half-life does change with concentration; option D is irrelevant as option B is valid. This illustrates that in zero-order kinetics, the half-life is directly proportional to the initial concentration of the reactant.

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