Property Relations (1) S.J.T.0. Phase Transformation and Applications OM aN dz Mdx Ndy dU=TdS-Pdv dH TaS +Vap as av dF=-SdT-Pdv aP) as dG=-SdT+Vap as aP av at H as av SJTU Thermodynamics of Materials Spring2012©X.J.Jin Lecture 6 Property Relation IlPhase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2012 © X. J. Jin Lecture 6 Property Relation II Property Relations (1) dz = Mdx + Ndy dU = TdS − PdV dH = TdS +VdP dF = −SdT − PdV dG = −SdT +VdP x y x N y M ⎟⎠⎞ ⎜⎝⎛ ∂∂ = ⎟⎟⎠⎞ ⎜⎜⎝⎛ ∂∂ S S V P V T ⎟⎠⎞ ⎜⎝⎛ ∂∂ ⎟ = − ⎠⎞ ⎜⎝⎛ ∂∂ S S P V P T ⎟⎠⎞ ⎜⎝⎛ ∂∂ ⎟ = ⎠⎞ ⎜⎝⎛ ∂∂ T T V P V S ⎟⎠⎞ ⎜⎝⎛ ∂∂ ⎟ = ⎠⎞ ⎜⎝⎛ ∂∂ T T P V P S ⎟⎠⎞ ⎜⎝⎛ ∂∂ ⎟ = ⎠⎞ ⎜⎝⎛ ∂∂ −