The molar volume (cm3 mol-1) of a binary liquid mixture at T and P is given by:

V = 120X1+70X2 +(15X1+8X2)X1X2

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 the given equation for V is recovered. M= Sigma XiMi

c. Show that these expressions satisfy the Gibbs-Duhem equation Sigma XidMi=0

d. Show that (dV1/dX1)x1=1=(dV2/dX1)x1=0

e. Plot, using a graphing software, the values of V, V1, and V2 calculated by the given equation for V and by the equations developed in (a) vs X1. Label points V1, V2, Vinfinity1, and V infinity2, and show their value.