Bridgman thermodynamic formulas: Difference between revisions

Revision as of 10:33, 6 October 2011

Notation used (from Table I):

Bridgman thermodynamic formulas ^[1]

{\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}

@@ Line 41: / Line 41: @@
 :<math> \left. \partial Q \right\vert_T  =  - \left. \partial T \right\vert_Q =  T\left. \frac{\partial V}{\partial T} \right\vert_p</math>
-:<math> \left. \partial W \right\vert_T  =  - \left. \partial T \right\vert_W = - p\left. \frac{\partial V}{\partial p} \right\vert_p</math>
+:<math> \left. \partial W \right\vert_T  =  - \left. \partial T \right\vert_W = - p\left. \frac{\partial V}{\partial p} \right\vert_T</math>
+:<math> \left. \partial U \right\vert_T  =  - \left. \partial T \right\vert_U = T\left. \frac{\partial V}{\partial T} \right\vert_p + p\left. \frac{\partial V}{\partial p} \right\vert_T</math>
+:<math> \left. \partial H \right\vert_T  =  - \left. \partial T \right\vert_H = -V + T\left. \frac{\partial V}{\partial T} \right\vert_p  </math>
+:<math> \left. \partial G \right\vert_T  =  - \left. \partial T \right\vert_G = -V </math>
+:<math> \left. \partial A \right\vert_T  =  - \left. \partial T \right\vert_A =  p\left. \frac{\partial V}{\partial p} \right\vert_T</math>
+====volume====
 ==See also==