Consider a binary mixture composed of two types of particles, A and B. For this system the fundamental equation for the Gibbs free energy is G=nH+B, the combined first and second laws are dG-S dT+ V dP+ Adna + Bdng (S is the total entropy and V is the total volume of the system), and the chemical potentials A and g are intensive so that AA(P,T,xA) and B = B(P, T, XA), where x is the mole fraction of A. Use these facts to derive the relations

Transcribed Image Text:

and sdT vdPad = 0 a=A,B = a-A,B - xa (da+SadTvadP) = 0, wheres S/n, v=V/n,n = n+nB, Sa = with a A, B and B = A, B. = (as/ana) PT and va=(V/a), (a) (b)