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Maxwell's Relations

$\displaystyle \input{equations/15-3A}$

(22-1)

A property of a perfect differential is:

$\displaystyle \input{equations/psd}$

(22-2)

If Equation 22-2 is applied to $\bgroup\color{blue}$ dU = TdS - PdV$\egroup$ :

$\displaystyle \input{equations/15-5A}$

(22-3)

This can be summarized in the following tables (you should be able to derive these tables on your own):

$\begin{center}\vbox{\input{tables/U} }\end{center}$

$\begin{center}\vbox{\input{tables/H} }\end{center}$

$\begin{center}\vbox{\input{tables/F} }\end{center}$

$\begin{center}\vbox{\input{tables/G} }\end{center}$

W. Craig Carter 2002-11-01