上海交通大学：《材料热力学》教学资源_2010课件_lecture 6 property relation II

Contents of Today S.J.T.U. 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 Spring2010©X.J.Jin Lecture 6 Property Relation ll

Phase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2010 © 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.U. Phase Transformation and Applications U PV TS H≡UUJ+PV G=H-TS F=U-TS SJTU Thermodynamics of Materials Spring2010©X.J.Jin Lecture 6 Property Relation ll

Phase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2010 © 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.U. Phase Transformation and Applications dU Tas-PdV dF =-SdT-Pav Pt G H dG =-SdT +VdP S dH Tas +VdP F U SJTU Thermodynamics of Materials Spring2010©X.J.Jin Lecture 6 Property Relation ll

Phase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2010 © 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.U. Phase Transformation and Applications OF on, T.P,ni+n &G OF aH aU On Oni =4 TP.nj+ni on) P,S,n≠n oni )v s.njtm The chemical potential of the component i. H Used extensively in the treatment of the thermodynamics of solutions and of chemical reactions. SJTU Thermodynamics of Materials Spring2010©X.J.Jin Lecture 6 Property Relation ll

Phase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2010 © 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 ni 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.U. Phase Transformation and Applications 当系统由始态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 PW G=H-TS dF =-SdT-Pav F=U-TS G H dG=-SdT+VdP dH TdS +VaP U The chemical potential of the component i. G OH aU =4 On, T,Pnj+m on, )Tv.nj+ni On; )p.S.nj+n O i Jv,S,nj+m SJTU Thermodynamics of Materials Spring2010©X.J.Jin Lecture 6 Property Relation ll

Phase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2010 © 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