Special case:closed system,constant volume S.J.T.U. Phase Transformation and Applications Partial derivative of the property with respect to the mass of material i at constant temperature,volume,and the mass of other materials. First law c0+ow=位2-0hm, Second law -8h= 2_ w T aU SWro =(U,2-Ukin,-T(S-S,)in, Tv,nj+n 5= as SJTU Thermodynamics of Materials Spring2006©X.J.Jin Lecture 7 equilibrium IPhase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2006 © X. J. Jin Lecture 7 equilibrium I Special case: closed system, constant volume Partial derivative of the property with respect to the mass of material i at constant temperature, volume, and the mass of other materials. ( ) Tlw TQ dnSS i δ δ 12 −=− ~~ ( ) i 12 dnUUWQ ~ ~ δδ −=+ First law Second law ( ) ( ) rev 1,2, 1,2, dnSSTdnUUW iiiiii ~ ~ ~ ~ δ −−−= nnVT ij ni U U ≠ ⎟⎟⎠⎞ ⎜⎜⎝⎛ ∂∂ = ,, ~ nnVT ij ni S S ≠ ⎟⎟⎠⎞ ⎜⎜⎝⎛ ∂∂ = ,, ~