Chapter 24, Problem 24.38P

Interpretation Introduction

Interpretation:

Decay constant has to be determined for a process where $\text{2}\text{.8}\times {10}^{-10}\%$ of the atoms of a radioactive isotope get disintegrated in each year.

Concept Introduction:

Integrated rate law for a first order reaction is given below

  $\begin{array}{c}\ln \left(\frac{N_t}{N_0}\right)=-kt\\ \text{where,}\\ \\ \text{ln}\text{=}\text{natural}\text{logarithm}\\ \\ {\text{N}}_{\text{0}}\text{= Amount}\text{of}\text{subsatnce}\text{at}\text{time}\text{t}\text{=}\text{0}\\ \\ {\text{N}}_{\text{t}}\text{= Amount}\text{of}\text{subsatnce}\text{after}\text{time, t}\\ \\ \text{k}\text{=}\text{Decay}\text{constant}\end{array}$