Chapter 12, Problem 12B.2E

(a)

Interpretation Introduction

Interpretation:

The translation partition function for ${\text{N}}_{\text{2}}$ molecule from the given data has to be evaluated.

Concept Introduction:

The translation partition function for has the following expression:

${\text{q}}^{\text{T}}\text{=}\frac{{\left(\text{2πmkT}\right)}^{\raisebox{1ex}{$\text{3}$}\!\left/ \!\raisebox{-1ex}{$\text{2}$}\right.}\text{V}}{{\text{h}}^{\text{3}}}$

$\begin{array}{l}{\text{q}}^{\text{T}}=\text{Translational}\text{partition}\text{function}\\ \text{m}=\text{Mass}\text{of}\text{the}\text{molecule}\\ \text{k=}\text{Boltzmann}\text{constant}\text{=}\text{1}\text{.381}{\text{×10}}^{\text{-23}}{\text{JK}}^{\text{-1}}\\ \text{T}\text{=}\text{Temperature}\end{array}$

$\begin{array}{l}\text{h}\text{=}{\text{Plank}}^{\text{'}}\text{s}\text{constant=}\text{6}\text{.626}{\text{×10}}^{\text{-34}}\text{J}\text{s}\\ \text{V=}\text{Volume}\text{of}\text{the}\text{molecule}\end{array}$

(b)

Interpretation Introduction

Interpretation:

The translation partition function for ${\text{CS}}_{\text{2}}$ molecule from the given data has to be evaluated.

Concept Introduction:

The translation partition function for has the following expression:

${\text{q}}^{\text{T}}\text{=}\frac{{\left(\text{2πmkT}\right)}^{\raisebox{1ex}{$\text{3}$}\!\left/ \!\raisebox{-1ex}{$\text{2}$}\right.}\text{V}}{{\text{h}}^{\text{3}}}$

$\begin{array}{l}{\text{q}}^{\text{T}}=\text{Translational}\text{partition}\text{function}\\ \text{m}=\text{Mass}\text{of}\text{the}\text{molecule}\\ \text{k=}\text{Boltzmann}\text{constant}\text{=}\text{1}\text{.381}{\text{×10}}^{\text{-23}}{\text{JK}}^{\text{-1}}\\ \text{T}\text{=}\text{Temperature}\end{array}$

$\begin{array}{l}\text{h}\text{=}{\text{Plank}}^{\text{'}}\text{s}\text{constant=}\text{6}\text{.626}{\text{×10}}^{\text{-34}}\text{J}\text{s}\\ \text{V=}\text{Volume}\text{of}\text{the}\text{molecule}\end{array}$