Chapter 13, Problem 13B.4BE

(i)

Interpretation Introduction

Interpretation:

The rotational partition function of ${\text{H}}_{\text{2}}\text{O}$ molecules at $25°\text{C}$ has to be calculated.

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 rotational partition function for the nonlinear molecule is given by the expression as shown below.

    $q^{\text{R}}={\left(\frac{kT}{hc}\right)}^{3/2}\left(\frac{\text{π}}{\tilde{A}\tilde{B}\tilde{C}}\right)$

(ii)

Interpretation Introduction

Interpretation:

The rotational partition function of ${\text{H}}_{\text{2}}\text{O}$ molecules at $100°\text{C}$ has to be calculated.

Concept introduction:

As mentioned in the concept introduction in part (a).