Chapter 13, Problem 13B.8P

Interpretation Introduction

Interpretation:

The rotational partition function of $\text{HCl}$ at $25{}^{\text{ο}}\text{C}$ has to be calculated by direct summation.

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.

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