Chapter 6, Problem 6.25NP

Interpretation Introduction

Interpretation:Theexpression for A(V,T) which issimilar to that for G(T,P) needs to be derived.

  $\begin{array}{l}{\text{G(P,T) = G}}^{\text{0}}\text{(T)+ }{\displaystyle \underset{{\text{P}}_{\text{i}}}{\overset{P_{\text{f}}}{\int }}\text{VdP }}\\ {\text{G(P,T) = G}}^{\text{0}}\text{(T)+ }{\displaystyle \underset{{\text{P}}_{\text{i}}}{\overset{P_{\text{f}}}{\int }}}\frac{\text{nRT}}{\text{P}}\text{dP}\\ {\text{G(P,T) = G}}^{\text{0}}\text{(T)+ nRT}\times \text{ln }\frac{{\text{P}}_{\text{f}}}{{\text{P}}_{\text{i}}}\end{array}$

Concept Introduction:The state functions A and G are used for the determination of the direction of spontaneous change in a reaction mixture. Here ‘A’ stands for Helmholtz energy and ‘G’ stands for Gibb’s energy. Both of these energies depend on pressure (P), volume (V) and temperature (T).