Chapter 14, Problem 14.21QP

Interpretation Introduction

Interpretation:

The half-life of the given compound at given sample percentage and time has to be determined.

Concept introduction:

Half-life is the time required for one half of a reactant to react.

For first order reaction $-kt=\ln \left(\frac{\left[A\right]}{\left[A_0\right]}\right)$

$\left[A\right]$ is the concentration of reactant A at time t, ${\left[A\right]}_0$ is the initial concentration of reactant, k is the rate constant.

Half-life for a first order reaction is ,$t_{\frac{1}{2}}=\frac{0.693}{k}$