Chapter 20, Problem 20.114MP

Interpretation Introduction

Interpretation:

The age of the elements given in the question needs to be determined.

Concept introduction:

All the radioactive decays follow first order kinetics.

The rate law can be represented as follows:

$\ln \left(\frac{N_t}{N_o}\right)=-kt$

Here, k is rate constant, N_t is amount at time t and N_o is initial amount.

Here, for first order reaction the rate constant and half-life time can be represented as follows:

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