Chapter 14, Problem 14.89PAE

Interpretation Introduction

Interpretation:

The number of ¹²⁸Te atoms in 1 mol of sample that would decay in a day should be calculated for given half-life.

Concept Introduction:

All radioactive reactions follow first-order kinetics.

For a first order reaction, rate constant and half life time are related to each other as follows:

$k=\frac{0.693}{t_{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}}$

Here,

$t_{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}$ is half-life time

k is the decay constant of the reaction

Activity is defined as:

$A=k{N}_A$

Where,

A is the activity of the radioactive nuclei

N_A is the Avogadro’s number