Property Relations (1) S.J.T.U. Phase Transformation and Applications OM aN dz Mdx Ndy dU=Tas-Pav dH TaS +Vdp dF =-SdT-Pdv 〔部) as dG =-SaT+Vap as H SJTU Thermodynamics of Materials Spring 2006 ©X.J.Jin Lecture 6 property relation applicationsPhase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2006 © X. J. Jin Lecture 6 property relation applications Property Relations (1) = + NdyMdxdz = − PdVTdSdU = +VdPTdSdH = − − PdVSdTdF = − +VdPSdTdG 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 ⎟⎠⎞ ⎜⎝⎛ ∂∂ ⎟ = ⎠⎞ ⎜⎝⎛ ∂∂ −