Question: Derive the characteristic functions and Maxwell relations. Starting point: First law of thermodynamics for a reversible process with only volume work. delta Q =

Derive the characteristic functions and Maxwell relations. Starting point: First law of thermodynamics for a reversible process with only volume work.

\

delta Q

=

TdS;

\

delta W

= -

pdV and dU

=

TdS

-

pdV

.

Systematics: One begins with the defining equations of the thermodynamic state equations for H

,

,

and G and proceeds by coefficient comparison with the total differential of these equations, then applying the Schwarz theorem.

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