Chapter 18, Problem 18.29E

Interpretation Introduction

Interpretation:

The temperature at which the $q_{\text{rot}}$ for $\text{HCl}$ is equal to the value of $q_{\text{rot}}$ for $\text{HBr}$ at $298\text{K}$ is to be calculated.

Concept introduction:

The rotational partition function for the linear molecules is,

$q_{\text{rot}}=\frac{8{\pi }^{2}IkT}{h^2}=\frac{T}{{\theta }_r}$

Where,

• $q_{\text{rot}}$ is the rotational partition function.

• $I$ is the moment of inertia.

• $k$ is the Boltzmann constant.

• $T$ is the temperature.

• $h$ is the Planck’s constant.

• ${\theta }_r$ is the rotational temperature.

The partition function is a unitless quantity.