Chapter 15, Problem 123AE

Interpretation Introduction

Interpretation:

The differential rate law, the integrated rate law, the value of the rate constant should be determined. First half-life and the second half-life should be calculated.

Concept Introduction:

Differential rate law gives an expression for the rate of concentration change while integrated rate law gives an expression of concentration versus time.

Integrated rate laws for zero, first and second order reactions are,

Zeroth order: ${\left[\text{A}\right]}_t={\left[\text{A}\right]}_0-kt$

First order: $\ln {\left[\text{A}\right]}_t=\ln {\left[\text{A}\right]}_0-kt$

Second order: $\frac{1}{{\left[\text{A}\right]}_t}=kt+\frac{1}{{\left[\text{A}\right]}_0}$