Chapter 6, Problem 6.26NP

Interpretation Introduction

Interpretation : It should be shown that ${\left[\frac{\partial \left(A/T\right)}{\partial \left(1/T\right)}\right]}_V=U$ . Also, an expression analogous to ${\left[\frac{\partial \left(A/T\right)}{\partial \left(T\right)}\right]}_V=\frac{1}{T}{\left(\frac{\partial A}{\partial T}\right)}_V-\frac{A}{T^2}$ that relates $\Delta A$ at two temperatures should be derived.

Concept Introduction :

The equation that relates Helmholtz equation is represented as follows:

  ${\left[\frac{\partial \left(A/T\right)}{\partial \left(T\right)}\right]}_V=\frac{1}{T}{\left(\frac{\partial A}{\partial T}\right)}_V-\frac{A}{T^2}$

Here, T is temperature.