Chapter 13, Problem 13B.3BE

Interpretation Introduction

Interpretation:

The rotational partition function of the nitrogen molecules with high temperature approximation has to be calculated at $300\text{ K}$.

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 partition function that is shown below.

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

The high temperature approximation form rotational partition function is given by the expression as shown below.

    $q^{\text{R}}=\frac{8{\pi }^{2}kT\mu r^2}{\sigma h^2}$