Chapter 6, Problem 6.33NP

(a)

Interpretation Introduction

Interpretation:

The final pressure and $\Delta G\text{ and }\Delta A$ for the process for an isothermal reversible path should be calculated.

Concept Introduction :

For an isothermal process, the change in temperature does not takes place or $\Delta T=0$ .

The change in Gibbs free energy and change in Gibbs Helmholtz energy is represented as follows:

  $\Delta G={\displaystyle \underset{P_i}{\overset{P_f}{\int }}V.dP}$

And,

  $\Delta A={\displaystyle \underset{V_i}{\overset{V_f}{\int }}P.dV}$

Here,

  $\begin{array}{l}\Delta G\text{ - Gibbs free energy change}\\ \Delta A-\text{Gibbs Helmholtz energy}\\ \text{V - volume}\\ \text{P - pressure}\end{array}$

(b)

Interpretation Introduction

Interpretation:

The reason for $\Delta G\text{ and }\Delta A$ to not differ from one another should be explained.

Concept Introduction :

State function is a quantity that has a specific value for a given state. State functions does not depend on the path it takes.