**Unformatted text preview: **Â¿ Ãƒ Ã„ Ã€ Ã…Â» ÂµÂ¼ Â½ Â¾Â¿ Ã€ 4 . A Legendre transformation of the form d( )= d + d changes the fundamental thermodynamic relation dU( ,V) = d - pdV into dF( ,V) = - d - pdV, while also providing the formula F = U- Use a Legendre transformation on the â€“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. General Hint: Find the free energy directly from the partition function....

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