Property Relation S.J.T.U. Phase Transformation and Applications dU Tds-Pdy =T =-P av dF =-SdT-Pdv =-S =-P dG =-SdT +Vap =-S =V dH Tas +Vap -T =V av 二 S aP) as as v at 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 Relation S S V P V T ⎟⎠⎞ ⎜⎝⎛ ∂∂ ⎟ −= ⎠⎞ ⎜⎝⎛ ∂∂ S S P V PT ⎟⎠⎞ ⎜⎝⎛ ∂∂ ⎟ = ⎠⎞ ⎜⎝⎛ ∂∂ T T V P V S ⎟⎠⎞ ⎜⎝⎛ ∂∂ ⎟ = ⎠⎞ ⎜⎝⎛ ∂∂ T T P V PS ⎟⎠⎞ ⎜⎝⎛ ∂∂ ⎟ = ⎠⎞ ⎜⎝⎛ ∂∂ − = − PdVTdSdU = − − PdVSdTdF = − +VdPSdTdG = +VdPTdSdH P V U T S U V S ⎟ −= ⎠⎞ ⎜⎝⎛ ∂∂ ⎟ = ⎠⎞ ⎜⎝⎛ ∂∂ P V F S T F V T ⎟ −= ⎠⎞ ⎜⎝⎛ ∂∂ ⎟ −= ⎠⎞ ⎜⎝⎛ ∂∂ V P G S T G P T ⎟ = ⎠⎞ ⎜⎝⎛ ∂∂ ⎟ −= ⎠⎞ ⎜⎝⎛ ∂∂ V P H T S H P S ⎟ = ⎠⎞ ⎜⎝⎛ ∂∂ ⎟ = ⎠⎞ ⎜⎝⎛ ∂∂