Chapter 25, Problem 64IAE

Interpretation Introduction

Interpretation:

The number of beta particles emission per second by K-40 nuclei in 1.00 g of given sample of ${\text{KAlSi}}_{\text{3}}{\text{O}}_{\text{8}}$ needs to be determined.

Concept introduction:

All radioactive reactions follow the first order kinetics thus; decay constant is related to half-life time of the reaction as follows:

$\lambda =\frac{0.6932}{t_{1/2}}$

Here, k is decay constant and $t_{1/2}$ is half lifetime.

The activity of any radioactive decay can be calculated using the following formula:

$A=N\lambda$

Here, N is number of nuclei undergoing radioactive decay and $\lambda$ is decay constant.