Chapter 18, Problem 18.52P

Interpretation Introduction

Interpretation:

The time taken for half of the reactant to decompose has to be calculated.

Concept Introduction:

Zero order kinetics:

Consider a general zero order reaction.

  $\text{A}\to \text{P}$

The rate of the above reaction can be written as given below.

  $\begin{array}{l}\text{Rate}\text{of}\text{the}\text{reaction}\text{=}\text{k}{\left[\text{A}\right]}^{\text{o}}\\ \\ \text{Where,}\text{k}\text{=}\frac{{\left[\text{A}\right]}_{\text{o}}\text{-}\left[\text{A}\right]}{\text{t}}\end{array}$

The integrated rate law for zero order reaction and half-life is given below.

  $\begin{array}{l}\left[\text{A}\right]\text{=}{\left[\text{A}\right]}_{\text{o}}\text{-kt}\\ \\ {\text{t}}_{1/2}=\frac{{\left[\text{A}\right]}_{\text{o}}}{\text{2k}}\end{array}$