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In the chemical engineering text of Smith, VanNess, and Abbott, there is a section on partial molar volume. It states that Gibbs theorem applies to any partial molar property with the exception of volume. Why is volume different? In other words, when evaluating the partial molar volume of a mixture, we evaluate it at a T, P (total mixture pressure), but for other partial molar properties (like entropy), we evaluate them at T, Pi (partial pressure of i in the mixture).
There's a very similar thread on physics stack exchange, but I don't find a completely satisfying answer there (an neither did the OP): https://physics.stackexchange.com/questions/502788/gibbstheoremandpartialmolarvolume.
There's a very similar thread on physics stack exchange, but I don't find a completely satisfying answer there (an neither did the OP): https://physics.stackexchange.com/questions/502788/gibbstheoremandpartialmolarvolume.
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