Question

The molar volume in cm^3/mol of a binary liquid mixture at T and P is given by:

V~ = 120 x1 + 70 x2 + (15 x1 + 8 x2) x1 x2

a.) Find expressions for the partial molar volumes of species 1 and 2 at T and P.

b.) Show that when these expressions are combined in accord with Eqn 11.11 the given equation for V~ is recovered.

c.) Show that these expressions satisfy Eqn 11.14, the Gibbs-Duhem equation.

d.) Show that at constant T and P,

(dVbar1/dx1)@x1=1 = (dVbar2/dx1)@x1=0 = 0

e.) Plot values of V~, Vbar1, and Vbar2 calculated by the given equation for V~ and by the equations developed in part (a) vs. x1. Label points V~1, V~2, Vbar1 at infinite dilution and Vbar2 at infinite dilution.