Chapter 12.7, Problem 4Q

Interpretation Introduction

Interpretation:

The percentage of the space occupied by the tin atoms in tetragonal and cubic crystal lattice has to be calculated.

Concept introduction:

The volume of the atom is given below,

$\text{V}\text{=}{\text{(a)}}^{\text{3}}$

The density of the unit cell is calculated as follows,

$\frac{\text{Mass}}{\text{volume}}\text{ = density}$

$\begin{array}{l}\text{Mass = number of moles × molar mass}\hfill \\ \text{Number of moles = }\frac{\text{Number of atoms per unit cell}}{\text{Avogadro number}}\hfill \end{array}$

The Volume of the one atom is given below

$\text{ V = }\frac{\text{4}}{\text{3}}{\text{Πr}}^{\text{3}}$