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**Unformatted text preview: **relation dU( ,V)= d -pdV into dF( ,V)=- d -pdV, while also providing the formula F=U-. Use a Legendre transformation on the pdV term to derive expressions for dH( ,P) and for H( ,P). H is called the enthalpy, and is useful for processes that occur at constant pressure. Hints: 1. Find the free energy directly from the partition function. 2. Do the second problem in the list before doing problem 3, then use the generalization of the second problem, that the partition function for N independent distinguishable systems is Z( 1+2+3+. ..+N )=Z( 1 )Z( 2 )Z( 3 )...Z( N ). 3. You do not need to convert the partition sum to an integral; the sum can be evaluated exactly. Remember that exp(sx)=[exp(x)] s ....

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