Chapter 25, Problem 38PS

Interpretation Introduction

Interpretation: The graph should be drawn for disintegrations per minute as a function of time during a period of 1 year.

Concept Introduction:

Nuclear reaction is a physical process in which there is a change in identity of an atomic nucleus. Natural radioactive decays, artificial radioactive decays... are considered as nuclear reactions because these processes make changes in the identity of an atomic nucleus.

Half–life period: It is the time required for the concentration of radioactive substance to reduce to the one-half of its initial concentration.

The integrated rate law for the first order is as follows:

$\begin{array}{c}\text{ln}\left[A\right]=\ln \left[{\text{A}}_{\text{0}}\right]-kt\\ \text{where,}\\ \left[{\text{A}}_{\text{0}}\right]\text{= initial}\text{concentration}\\ \text{k=}\text{rate constant}\\ t=time\\ \left[\text{A}\right]=concentrationaftertimet\end{array}$