Chapter 13, Problem 13E.6BE

Interpretation Introduction

Interpretation:

The temperature at which molar entropy of ${\text{CO}}_2$ is equal to that of molar entropy of ${\text{H}}_{\text{2}}\text{O}$ at $298\text{K}$ has to be stated.

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 represented as,

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

The translational contribution to molar entropy is given by the equation below.

  $S_{\text{m}}^{\sout{o}}=R\ln \left(\frac{kT{\text{e}}^{5/2}}{p^{\sout{o}}{\Lambda }^3}\right)$