Chapter 8, Problem 8.3YT

Interpretation Introduction

Interpretation:

The amount of $\text{Rn}-\text{222}$ which is left after $\text{19}\text{.1 days}$, and the number of alpha particles which are emitted within the house during the given period are to be calculated.

Concept Introduction:

Half-life time of a radioactive substance is the time in which the parent nuclei is reduced to half of its initial amount.

Alpha emission occurs when an unstable radioactive nucleus emits a particle containing 2 protons and 2 neutrons.

One mole contains $6.022\times {10}^{23}\text{ atoms}$. It can be expressed as:

$1\text{ mol}=\text{6}\text{.022}\times {10}^{23}\text{ atom}$

The conversion factor is $\left(\frac{\text{6}{\text{.022×10}}^{\text{23}}}{1\text{mol}}\right)$.

One mole of any substance has a mass equal to its molar mass.

One milligram is equal to ${10}^{-3}\text{ g}$. The conversion factor for grams from milligrams is $\left(\frac{{\text{10}}^{\text{-3}}\text{ g}}{\text{1 mg}}\right)$.