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 2012 X.J.Jin Lecture 6 Property Relation ll
Phase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2012 © 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 Spring2012©X.J.Jin Lecture 6 Property Relation ll
Phase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2012 © 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 Spring 2012 X.J.Jin Lecture 6 Property Relation ll
Phase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2012 © 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 T.P.ni#n T,V,n≠n &G OF aH aU on, T.P.ni+n On, On, =4 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 2012 X.J.Jin Lecture 6 Property Relation Il
Phase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2012 © 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 = μ ⎟⎟⎠⎞ ⎜⎜⎝⎛ ∂∂ = ⎟⎟⎠⎞ ⎜⎜⎝⎛ ∂∂ = ⎟⎟⎠⎞ ⎜⎜⎝⎛ ∂∂ = ⎟⎟⎠⎞ ⎜⎜⎝⎛ ∂∂ , , ≠ , , ≠ , , ≠ , , ≠ μi 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 Spring2012©X.J.Jin Lecture 6 Property Relation Il
Phase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2012 © 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 = μ ⎟⎟⎠⎞ ⎜⎜⎝⎛ ∂∂ = ⎟⎟⎠⎞ ⎜⎜⎝⎛ ∂∂ = ⎟⎟⎠⎞ ⎜⎜⎝⎛ ∂∂ = ⎟⎟⎠⎞ ⎜⎜⎝⎛ ∂∂ , , ≠ , , ≠ , , ≠ , , ≠ μi The chemical potential of the component i