# UVa SM:Entropy, work, and Helmholtz free energy

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## ProblemEdit

Here are two facts about a substance:

- The entropy is the following function of and :

- At constant temperature the work the substance does on its surroundings as it expands from to is

(a)Find the Helmholtz free energy F, assuming that it is zero at the state values specified by the subscript 0.

(b)Find the equation of state of this stuff. Is there a point in parameter space where it is ideal?

(c)For this part we’ll simplify the algebra by assuming that and also . At what temperature would the system do twice as much work in going from to as it does at ?