Chapter 14, Problem 14.6IA

Interpretation Introduction

Interpretation:

The expressions for $\partial G$ and $\partial A$ have to be determined.  The Maxwell relations, ${\left(\frac{\partial S}{\partial l}\right)}_T=-{\left(\frac{\partial t}{\partial T}\right)}_l$ and ${\left(\frac{\partial S}{\partial t}\right)}_T={\left(\frac{\partial l}{\partial T}\right)}_t$ have to be deduced.  The equation of state for rubber, ${\left(\frac{\partial U}{\partial l}\right)}_T=t-T\left(\frac{\partial t}{\partial T}\right)$, has to be deduced.

Concept introduction:

In thermodynamics, Maxwell’s relations are a set of equations.  They are derived from thermodynamic potentials.  The thermodynamic potentials are $H,G,A,U$.  They are calculated with the help of Maxwell’s square.