For three thermodynamic variables P, V and T, the value of: \({\left( {\frac{{\partial {\rm{T}}}}{{\partial {\rm{P}}}}} \right)_{\rm{V}}}{\left( {\frac{{\partial {\rm{V}}}}{{\partial {\rm{T}}}}} \right)_{\rm{P}}}\)

1
\({\left( {\frac{{\partial P}}{{\partial V}}} \right)_T}\)
2
\({\left( {\frac{{\partial V}}{{\partial P}}} \right)_T}\)
3
\(-{\left( {\frac{{\partial P}}{{\partial V}}} \right)_T}\)
4
\(-{\left( {\frac{{\partial V}}{{\partial P}}} \right)_T}\)

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