Chapter 13, Problem 13E.4P

Interpretation Introduction

Interpretation:

The temperature dependence of the heat capacity of $p-{\text{H}}_{\text{2}}$ at low temperatures has to be calculated. The heat capacity curve at different temperatures has to be drawn.

Concept introduction:

Statistical thermodynamics is used to describe all the possible configurations in a system at given physical quantities such as pressure, temperature, and a number of particles in the system.  The important quantity in the thermodynamic is the partition function.  The rotational partition function is calculated by the formula shown below.

  $q^{\text{R}}={\displaystyle \sum _J\left(2J+1\right)}{\text{e}}^{-\beta hc\tilde{B}J\left(J+1\right)}$