Chapter 12, Problem 12.54SP

Interpretation Introduction

Interpretation:

For the rearrangement of cyclopropane to propene, the half-life time has to be calculated and also the time required for the concentration of cyclopropane to drop $\text{6}\text{.25}\text{\%}$ of its initial value has to be calculated.

Concept introduction:

Half-life time:

It is the time required for the reactant (substrate) concentration reduces to one-half of its initial concentration.

$\begin{array}{l}{\text{t}}_{\text{1/2}}\text{=}\frac{\text{0}\text{.693}}{\text{k}}\\ \text{where,}\\ {\text{t}}_{\text{1/2}}\text{-}\text{half-life}\text{time}\\ \text{k}\text{-}\text{rate}\text{constant}\end{array}$