Chapter 17, Problem 17.9P

Interpretation Introduction

Interpretation:

Number of thorium oxide sphere per cubic cm needs to be calculated.

Concept introduction:

Volume fraction is defined as the ratio of volume of specified component to the sum of total volume of components.

  $\begin{array}{l}f=\frac{V_1}{V_1+V_2}\\ f=\text{volume}\text{fraction}\\ V_1=\text{volume}\text{of}\text{first}\text{component}\\ V_2=\text{volume}\text{of}\text{second}\text{component}\end{array}$

Density is defined as the ratio of mass per unit volume.

  $\begin{array}{l}\text{ρ = }\frac{\text{m}}{\text{V}}\\ \text{where,}\\ \text{m = mass is in kg}\\ {\text{V = volume is in m}}^{\text{3}}\\ {\text{ρ= density in kg/m}}^{\text{3}}\end{array}$

Relationship of volume with mass and density.

  $V=\frac{m}{\rho }$