Chapter 20, Problem 20.18E

Interpretation Introduction

Interpretation:

The validation of the statement that the given expression is equivalent to equation 20.14 is to be stated.

Concept introduction:

The rate law for first order reaction is represented as,

$-\frac{d[\text{A}]}{dt}=k\cdot {[\text{A}]}^1$

In the first order kinetics, rate of the reaction depends linearly on the concentration of one of the reactant. The integrated rate law for first order reaction is represented as,

$\ln \frac{{[\text{A}]}_0}{{[\text{A}]}_t}=kt$

Where,

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

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

• $k$ is the rate constant.