Chapter 17, Problem 17.12P

Interpretation Introduction

Interpretation:

The volume percent of ${\text{Al}}_{\text{2}}{\text{O}}_{\text{3}}$ along with number of oxide formed should be calculated and its comparison with number of solid solution atoms per cubic centimeter.

Concept introduction:

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

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

Volume of sphere is defined as

  $V_{sphere}=\frac{4}{3}\pi r^3$