Chapter 17, Problem 17.39P

Interpretation Introduction

Interpretation:

The age of the sediment which contains uranium-$238$ and lead-$206$ has to be calculated.

Concept Introduction:

The age of an object can be determined using the below equation.

    $\begin{array}{l}\text{t}\text{=}\left(\frac{{\text{t}}_{\text{1/2}}}{\text{0}\text{.693}}\right)\text{ln}\frac{{\text{N}}_{\text{o}}}{\text{N}}\\ \\ {\text{N}}_{\text{0}}\text{, the initial number of carbon-14 nuclei per gram }\\ \text{of carbon present in the sample}\\ \\ {\text{t}}_{\text{1/2}}\text{=}\text{half}\text{life}\text{of}\text{carbon-14}\end{array}$