Chapter 12, Problem 12.58SP

Interpretation Introduction

Interpretation:

For the dimerization reaction of butadiene, the half-life time has to be calculated and also the time required for the concentration of butadiene to drop from $\text{0}\text{.0100}\text{M}\text{to}\text{0}\text{.0050}\text{M}$ 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.

$\begin{array}{l}{\text{t}}_{\text{1/2}}\text{=}\frac{\text{1}}{\text{k}{\left[\text{A}\right]}_{\text{0}}}\left(\text{for}\text{a}\text{second}\text{order}\text{reaction}\right)\\ \text{where,}\\ {\left[\text{A}\right]}_{\text{0}}\text{-}\text{Concentration}\text{of}\text{A}\text{at}\text{time}\text{=}\text{0}\\ {\text{t}}_{\text{1/2}}\text{-}\text{half-life}\text{time}\\ \text{k}\text{-}\text{rate}\text{constant}\end{array}$