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 Spring2006©X.J.Jin Lecture 6 property relation applications
Phase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2006 © X. J. Jin Lecture 6 property relation applications 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=U+PV G=H-TS F=U-TS SJTU Thermodynamics of Materials Spring2006©X.J.Jin Lecture 6 property relation applications
Phase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2006 © X. J. Jin Lecture 6 property relation applications 3.2 The Functions F and G (3) ≡ −TSUF ≡ −TSHG ≡ + PVUH
3.2 The Functions F and G(4) S.J.T.U. Phase Transformation and Applications dU Tds-Pdv dF =-SdT-Pdv H dG =-SdT +VdP S dH Tds VdP F U SJTU Thermodynamics of Materials Spring2006©X.J.Jin Lecture 6 property relation applications
Phase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2006 © X. J. Jin Lecture 6 property relation applications 3.2 The Functions F and G (4) = − PdVTdSdU = − − PdVSdTdF −= +VdPSdTdG = +VdPTdSdH
3.3 Chemical Potentials (5) S.J.T.U. Phase Transformation and Applications &G OF T,P,n≠n aG OF aH aU On; =4 i T P.ni+ni Oni P,S,n,≠n oni V,S,n≠n The chemical potential of the component i. G Used extensively in the treatment of the thermodynamics of solutions and of chemical reactions. U SJTU Thermodynamics of Materials Spring 2006 ©X.J.Jin Lecture 6 property relation applications
Phase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2006 © X. J. Jin Lecture 6 property relation applications 3.3 Chemical Potentials (5) ij nnVT ij i nnPT i n F n G ≠ ≠ ⎟⎟⎠⎞ ⎜⎜⎝⎛ ∂∂ = ⎟⎟⎠⎞ ⎜⎜⎝⎛ ∂∂ ,, ,, i i nnPT ij i nnVT ij i nnSP ij i nnSV ij 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.U. 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-Pav TS F=U-TS dG=-SdT +VdP G H dH TdS +VdP U The chemical potential of the component i. OG OF aH aU on O =4 iP,S,nj≠n oni )v.s.n,+n SJTU Thermodynamics of Materials Spring2006©X.J.Jim Lecture 6 property relation applications
Phase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2006 © X. J. Jin Lecture 6 property relation applications Review ≡ −TSUF ≡ −TSHG ≡ + PVUH 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。 = − PdVTdSdU = − − PdVSdTdF = − +VdPSdTdG = +VdPTdSdH i i nnPT ij i nnVT ij i nnSP ij i nnSV ij n U n H n F n G = μ ⎟⎟⎠⎞ ⎜⎜⎝⎛ ∂∂ = ⎟⎟⎠⎞ ⎜⎜⎝⎛ ∂∂ = ⎟⎟⎠⎞ ⎜⎜⎝⎛ ∂∂ = ⎟⎟⎠⎞ ⎜⎜⎝⎛ ∂∂ ,, ≠ ,, ≠ ,, ≠ ,, ≠ μi The chemical potential of the component i