上海交通大学：《材料热力学 Thermodynamics of materials》课程教学资源（课件讲稿）lecture 6 property relation（2/2）

Contents of Today S.J.T.0. Phase Transformation and Applications Review previous Property relation Functions F and G Partial molar quantities Property relation derived from U,H,F,and G etc. SJTU Thermodynamics of Materials Spring 2008 X.J.Jin Lecture 6 Property Relation ll

Phase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2008 © X. J. Jin Lecture 6 Property Relation II Contents of Today Review previous Property relation Functions F and G Partial molar quantities Property relation derived from U, H, F, and G etc

3.2 The Functions F and G(3) S.J.T.0. Phase Transformation and Applications PV TS H=U+PV G=H-TS F=U-TS SJTU Thermodynamics of Materials Spring2008©X.J.Jin Lecture 6 Property Relation ll

Phase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2008 © X. J. Jin Lecture 6 Property Relation II 3.2 The Functions F and G (3) F U TS G  H TS H U  PV

3.2 The Functions F and G(4) S.J.T.0. Phase Transformation and Applications dU =TdS-Pdv dF =-SdT-Pdv Pt G H dG =-SdT +Vdp T S dH TdS +VdP F U V SJTU Thermodynamics of Materials Spring2008©X.J.Jin Lecture 6 Property Relation ll

Phase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2008 © X. J. Jin Lecture 6 Property Relation II 3.2 The Functions F and G (4) dU  TdS  PdV dF  SdT  PdV dG  SdT VdP dH  TdS VdP

3.3 Chemical Potentials (5) S.J.T.0. Phase Transformation and Applications On, T.P.ni#n T,V,n≠n &G OF aH aU on, On, =4 T.P.ni+n v S,nj+n The chemical potential of the component i. Used extensively in the treatment of the thermodynamics of solutions and of chemical reactions. SJTU Thermodynamics of Materials Spring 2008 X.J.Jin Lecture 6 Property Relation Il

Phase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2008 © X. J. Jin Lecture 6 Property Relation II 3.3 Chemical Potentials (5) j i T V n j ni i T P n n i n F n G          , , , , i i T P n j ni i T V n j ni i P S n j ni i V S n j ni n U n H n F n G                  , ,  , ,  , ,  , ,  i The chemical potential of the component i. Used extensively in the treatment of the thermodynamics of solutions and of chemical reactions

Review S.J.T.0. Phase Transformation and Applications 当系统由始态I经过某一过程变到终态Ⅱ后，如能使系统再回到原态，同时 也消除了原过程对环境所产生的一切影响，则原来过程称为可逆过程。 H=U+PV dU =TdS-Pdv PV G=H-TS dF =-SdT-PdV TS F=U-TS dG=-SdT +VdP dH TdS +Vdp U The chemical potential of the component i. aG oH aU On, =4 )T,P.nj+m On; T,V,n≠n P,S,n1≠n On: v .S.nj+m SJTU Thermodynamics of Materials Spring2008©X.J.Jin Lecture 6 Property Relation Il

Phase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2008 © X. J. Jin Lecture 6 Property Relation II Review F U TS G  H TS H U  PV 当系统由始态I经过某一过程变到终态II后，如能使系统再回到原态，同时 也消除了原过程对环境所产生的一切影响，则原来过程称为可逆过程。 dU  TdS  PdV dF  SdT  PdV dG  SdT VdP dH  TdS VdP i i T P n j ni i T V n j ni i P S n j ni i V S n j ni n U n H n F n G                  , ,  , ,  , ,  , ,  i The chemical potential of the component i