Chapter 5, Problem 5.11P

Interpretation Introduction

Interpretation:

The fraction of lattice points that contain vacancies at ${1000}^{o}C$ is to be determined.

Concept introduction:

Since given temperature is in Celsius, we need to convert the temperature to Kelvin scale or absolute temperature scale by equation given below.

  $T_k=273+T_c\mathrm{......}\left(1\right)$

First derive the expression for the fraction of lattice point containing the vacancies at absolute temperature $T$ from the Arrhenius equation as given below.

  $Rate=c_0\exp \left(\frac{-Q}{RT}\right)\mathrm{.......}\left(2\right)$