Discussion
The correct expression representing Z to be a thermodynamic property is
Answer: C
The property is \(Z = pdv + vdp\).
A quantity is a thermodynamic property when its differential is exact, so that its change depends only on the end states. \(pdv + vdp = d(pv)\), the exact differential of the product pv, which is a property.
\(pdv\) alone is the boundary work, which depends on the path: the area under a p-v curve differs between paths joining the same two states. \(vdp\) is likewise path-dependent (it is the flow work term for an open system). \(pdv - vdp\) is not the differential of any function of state.
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