Chapter 18, Problem 18.56E

Interpretation Introduction

Interpretation:

The validation of the fact that both Einstein’s and Debye’s expressions for the heat capacity of crystals agree with the fact that $C_V$ of materials approaches $3Nk$ (which equals $3R$) at high temperatures is to be stated.

Concept introduction:

Statistical thermodynamics is used to describe all possible configurations in a system at given physical quantities such as pressure, temperature and number of particles in the system. An important quantity in thermodynamics is the partition function that is represented as,

$q\equiv {\displaystyle \sum _i{g}_i{e}^{-\beta {\in }_i}}$

It is also called as canonical ensemble partition function.