AIPMT PRELIMS2009Chemistry-Chemical Kinetics

AIPMT PRELIMS 2009 Chemistry First-order Reactions MCQ Question

Type: MCQ-numerical-Medium-Class 12

Half life period of a first-order reaction is 1386 seconds. The specific rate constant of the reaction is:

A

0.5 × 10⁻² s⁻¹

B

0.5 × 10⁻³ s⁻¹

C

5.0 × 10⁻² s⁻¹

D

5.0 × 10⁻³ s⁻¹

Correct Answer

Option B

Detailed Explanation

The rate constant k for a first-order reaction is calculated using the formula k = 0.693 / t₁/₂. Substituting the given half-life, k = 0.693 / 1386 = 0.5 × 10⁻³ s⁻¹.

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