Chapter 18, Problem 18.60E

Interpretation Introduction

Interpretation:

The value of the Einstein temperature ${\theta }_{\text{E}}$ is to be determined.

Concept introduction:

Einstein gave an expression for heat capacity at constant volume as follows:

$C_V=3Nk{\left(\frac{{\theta }_{\text{E}}}{T}\right)}^2\cdot \frac{e^{-{\theta }_{\text{E}}/T}}{{\left(1-e^{-{\theta }_{\text{E}}/T}\right)}^2}$

Where,

• $N$ is the number of particles. It is equal to Avogadro number.

• ${\theta }_{\text{E}}$ is the Einstein temperature.

• $T$ is the Temperature.

• $k$ is the Boltzmann constant