The differential for the Internal energy, U, at constant
composition is
?U = −P?V + T?S
(a) What are the natural independent variables of U? [2]
(b) Derive an expression for the change in internal energy at
constant Volume starting with the
above differential for the internal function, U, at constant
composition. [3]
(c) Using the criterion for exact differentials, write the Maxwell
relation that is derived from this
equation. [2]
(d) Based on your answer in part (a), write...