For a simple compressible system, v, s, p and T are specific volume, specific entropy, pressure and temperature, respectively. As per Maxwell’s relations, \({\left( {\frac{{\partial v}}{{\partial s}}} \right)_p}\) is equal to

1
\({\left( {\frac{{\partial s}}{{\partial T}}} \right)_p}\)
2
\({\left( {\frac{{\partial p}}{{\partial v}}} \right)_T}\)
3
\( - {\left( {\frac{{\partial T}}{{\partial v}}} \right)_p}\)
4
\({\left( {\frac{{\partial T}}{{\partial p}}} \right)_s}\)

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