Chapter 20, Problem 20.24E

Interpretation Introduction

Interpretation:

The equation 20.20 is to be derived from equation 20.19.

Concept introduction:

The rate law for second order reaction is represented as,

$-\frac{d\text{[A]}}{dt}=k{\text{[A]}}^2$

This represents the case in which identical reactants are present. In the second order kinetics, rate of the reaction is proportional to the square of concentration of the reactant. The integrated rate law for second order reaction is represented as,

$\frac{1}{{\text{[A]}}_t}-\frac{1}{{\text{[A]}}_0}=k\cdot t$

Where,

• ${[\text{A}]}_0$ is the initial concentration.

• ${[\text{A}]}_t$ is the concentration at time $t$.

• $k$ is the rate constant.