Chapter 20, Problem 50E

Interpretation Introduction

Interpretation: The time taken for the decay rate to fall to 287/s by the sample of Tl-201 is to be calculated.

Concept Introduction:

Radioactive decay undergoes first-order kinetics.

$\text{ln}\frac{{\text{Rate}}_{\text{t}}}{{\text{Rate}}_{\text{0}}}=-kt$

Half-life of the isotope is calculated by the following formula:

$t_{1/2}=\frac{0.693}{k}$