Chapter 18, Problem 18.57E

Interpretation Introduction

Interpretation:

The vibrational partition function at different temperatures, starting at zero kelvins and going to $1000\text{K}$ in $\text{10-K}$ intervals is to be evaluated. The graph of the result is to be plotted. The trend for the same is to be stated.

Concept introduction:

A molecule is made up of atoms that are bonded together by covalent bonds. These bonds do a to and fro moment to vibrate. This vibration of the molecule contributes to the overall partition function of the system. The vibrational partition function of the diatomic molecule at high temperature is represented as,

$q_{\text{vib}}=\frac{T}{{\theta }_{\text{v}}}$

Where,

• ${\theta }_{\text{v}}$ represents the vibrational temperature.

• $\text{T}$ represents the temperature.