Chapter 17, Problem 17.21P

Interpretation Introduction

Interpretation:

The fraction of ${\text{SO}}_{\text{2}}{\text{Cl}}_{\text{2}\text{(g)}}$ that remains after five hours of decay has to be calculated.

Concept Introduction:

The first-order rate law for radioactive decay in terms of half-life is expressed as,

    $\begin{array}{l}\text{ln}\frac{\text{N}}{{\text{N}}_{\text{o}}}\text{=}\text{-}\left(\frac{\text{0}\text{.693}}{{\text{t}}_{\text{1/2}}}\right)\text{t}\\ \\ {\text{N}}_{\text{o}}\text{is}\text{Initial}\text{amount}\text{of}\text{sample}\\ \\ \text{N}\text{is}\text{amount}\text{of}\text{sample}\text{after}\text{time}\text{t}\\ \\ {\text{t}}_{\text{1/2}}\text{is}\text{half-life}\end{array}$