Bridgman thermodynamic formulas

Notation used (from Table I):

Bridgman thermodynamic formulas ^[1]

Table II

{\partial T |}_{p} = - {\partial p |}_{T} = 1

{\partial V |}_{p} = - {\partial p |}_{V} = {\frac{\partial V}{\partial T} |}_{p}

{\partial S |}_{p} = - {\partial p |}_{S} = C_{p} / T

{\partial Q |}_{p} = - {\partial p |}_{Q} = C_{p}

{\partial W |}_{p} = - {\partial p |}_{W} = p {\frac{\partial V}{\partial T} |}_{p}

{\partial U |}_{p} = - {\partial p |}_{U} = C_{p} - p {\frac{\partial V}{\partial T} |}_{p}

{\partial H |}_{p} = - {\partial p |}_{H} = C_{p}

{\partial G |}_{p} = - {\partial p |}_{G} = - S

{\partial A |}_{p} = - {\partial p |}_{A} = - (S + p {\frac{\partial V}{\partial T} |}_{p})

{\partial V |}_{T} = - {\partial T |}_{V} = - {\frac{\partial V}{\partial p} |}_{T}

{\partial S |}_{T} = - {\partial T |}_{S} = {\frac{\partial V}{\partial T} |}_{p}

{\partial Q |}_{T} = - {\partial T |}_{Q} = T {\frac{\partial V}{\partial T} |}_{p}

{\partial W |}_{T} = - {\partial T |}_{W} = - p {\frac{\partial V}{\partial p} |}_{T}

{\partial U |}_{T} = - {\partial T |}_{U} = T {\frac{\partial V}{\partial T} |}_{p} + p {\frac{\partial V}{\partial p} |}_{T}

{\partial H |}_{T} = - {\partial T |}_{H} = - V + T {\frac{\partial V}{\partial T} |}_{p}

{\partial G |}_{T} = - {\partial T |}_{G} = - V

{\partial A |}_{T} = - {\partial T |}_{A} = p {\frac{\partial V}{\partial p} |}_{T}

{\partial S |}_{V} = - {\partial V |}_{S} = 1 / T (C_{p} {\frac{\partial V}{\partial p} |}_{T} + T {{(\frac{\partial V}{\partial T})}^{2} |}_{p})

{\partial Q |}_{V} = - {\partial V |}_{Q} = C_{p} {\frac{\partial V}{\partial p} |}_{T} + T {{(\frac{\partial V}{\partial T})}^{2} |}_{p}

{\partial W |}_{V} = - {\partial V |}_{W} = 0

{\partial U |}_{V} = - {\partial V |}_{U} = C_{p} {\frac{\partial V}{\partial p} |}_{T} + T {{(\frac{\partial V}{\partial T})}^{2} |}_{p}

{\partial H |}_{V} = - {\partial V |}_{H} = C_{p} {\frac{\partial V}{\partial p} |}_{T} + T {{(\frac{\partial V}{\partial T})}^{2} |}_{p} - V {\frac{\partial V}{\partial T} |}_{p}

{\partial G |}_{V} = - {\partial V |}_{G} = - (V {\frac{\partial V}{\partial T} |}_{p} + S {\frac{\partial V}{\partial p} |}_{T})

{\partial A |}_{V} = - {\partial V |}_{A} = - S {\frac{\partial V}{\partial p} |}_{T}

{\partial Q |}_{S} = - {\partial S |}_{Q} = 0

{\partial W |}_{S} = - {\partial S |}_{W} = - (p / T) (C_{p} {\frac{\partial V}{\partial p} |}_{T} + T {{(\frac{\partial V}{\partial T})}^{2} |}_{p})

{\partial U |}_{S} = - {\partial S |}_{U} = (p / T) (C_{p} {\frac{\partial V}{\partial p} |}_{T} + T {{(\frac{\partial V}{\partial T})}^{2} |}_{p})

{\partial H |}_{S} = - {\partial S |}_{H} = - V C_{p} / T

{\partial G |}_{S} = - {\partial S |}_{G} = - (1 / T) (V C_{p} - S T {\frac{\partial V}{\partial T} |}_{p})

{\partial A |}_{S} = - {\partial S |}_{A} = (1 / T) (p (C_{p} {\frac{\partial V}{\partial p} |}_{T} + T {{(\frac{\partial V}{\partial T})}^{2} |}_{p}) + S T {\frac{\partial V}{\partial T} |}_{p})