Chapter 18, Problem 75CWP

Interpretation Introduction

Interpretation: Half life of Iodine- $131$ is given. Number of days taken by $174\text{g}$ of ${}^{131}\text{I}$ to decay to $83\text{g}$ of ${}^{131}\text{I}$ is to be calculated.

Concept introduction: In radioactive decay, the decomposition of a parent nuclide takes place and a new daughter nuclide is formed.

Decay constant is the quantity that expresses the rate of decrease of number of atoms of a radioactive element per second.

Half life of radioactive sample is defined as the time required for the number of nuclides to reach half of the original value.

To determine: The number of days taken by $174\text{g}$ of ${}^{131}\text{I}$ to decay to $83\text{g}$ of ${}^{131}\text{I}$.