Practicing Success

Target Exam

CUET

Subject

Chemistry

Chapter

Physical: Chemical Kinetics

Question:

The rate constant of a first-order reaction is 10–2 min–1. The half-life period of the reaction is:

Options:

693 min

69.3 min

6.93 min

0.693 min

Correct Answer:

69.3 min

Explanation:

For First order reactions,

\(k =\frac{0.693}{t_{1/2}}\)

Given,

\(k = 10^{−2} \text{ min}^{−1}\)

\(∴ k = \frac{0.693}{t_{1/2}}\)

or, \( t_{1/2} = \frac{0.693}{10^{−2}}\)

or, \(t_{1/2} = 69.3 \text{ min}\)