上游充通大粤 SHANGHAI JIAO TONG UNIVERSITY Isolated system and Boltzmann hypothesis Entropy of mixing of two components:S=R(XAInxA+XglnxB) Two systems put together S=kIn SM=kInQ=k In- N! S=S1+S2,2=21*22 N!N! Ideal solid solution N! SM=[lnN4!-lnN!-ln2J Smix=-R(XInx+x2Inx2) NINa! Sy=k[N4 In N4-N4-N InN +N -N2 In N2 +N2] Sy=[(N N2)In N-N In N -N2 In N2 s Q:totoal number of different ways of that the macroconfiguration can be achievedIsolated system and Boltzmann hypothesis Entropy of mixing of two components: Sm=-R(xA lnxA+xB lnxB ) Ω: totoal number of different ways of that the macroconfiguration can be achieved Two systems put together S = S1 + S2, Ω= Ω1 *Ω2 Ideal solid solution Smix = -R(x1 lnx1+x2 lnx2 )