The rate of a first-order reaction is 0.04   m o l   l - 1 s - 1 at 10 second and 0.03   m o l   l - 1 s - 1 at 20 seconds after initiation of the reaction. The half-life period of the reaction is:

Question

The rate of a first-order reaction is 0.04 &#160; m o l &#160; l - 1 s - 1 at 10 second and 0.03 &#160; m o l &#160; l - 1 s - 1 at 20 seconds after initiation of the reaction. The half-life period of the reaction is:

Quantrex Academy · Accepted Answer

Correct answer: A. 24 . 1 &#160; s

R a t e T i m e 0.04 10 0.03 20 For first order reaction r ∝ conc. r 1 r 2 = C 1 C 2 = 4 3 ∴ k = 2.303 t 2 - t 1 log ⁡ C 1 C 2 ⇒ 0.693 t 1 / 2 = 2.303 20 - 10 log ⁡ 4 3 On solving t 1 / 2 = 24.1 s

The rate of a first-order reaction is 0.04   m o l   l - 1 s - 1 at 10 second and 0.03   m o l   l - 1 s - 1 at 20 seconds after initiation of the reaction. The half-life period of the reaction is:

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More from Chemical Kinetics

The rate of a first-order reaction is 0.04 &#160; m o l &#160; l - 1 s - 1 at 10 second and 0.03 &#160; m o l &#160; l - 1 s - 1 at 20 seconds after initiation of the reaction. The half-life period of the reaction is:

Options

Correct answer

Step-by-step solution

More from Chemical Kinetics

The rate of a first-order reaction is 0.04 m o l l - 1 s - 1 at 10 second and 0.03 m o l l - 1 s - 1 at 20 seconds after initiation of the reaction. The half-life period of the reaction is: