Chapter 5, Problem 5A.3ST

Interpretation Introduction

Interpretation: Under the given condition Gibbs energy of mixing has to be calculated.

Concept introduction: Gibbs energy of mixing is a spontaneous phenomenon.  At constant temperature and pressure a system tend towards lower Gibbs energy.  Suppose two gases $\text{A}$ and $\text{B}$, which are mixed at a temperature $\text{T}$.  Then Gibbs energy of mixing is express as,

  ${\Delta }_{\text{mix}}G=nRT\left({\text{χ}}_{\text{A}}\ln {\text{χ}}_{\text{A}}+{\text{χ}}_{\text{B}}\ln {\text{χ}}_{\text{B}}\right)$