Chapter 20, Problem 51E

Interpretation Introduction

Interpretation: The age of the boat is to be determined.

Concept Introduction:

Different nuclides have different rates of radioactive decay.

The time in which any radioactive substance remained half of its quantity is known as half-life of that compound and represented by $t_{1/2}$.

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

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

Radioactive decay undergoes first-order kinetics.

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