Question

The molar volume (cm /mol) of a binary liquid mixture at T and P is given by:

V = 120 x1 + 70 x2 + (15x1 + 8x2)x1x2
Find expressions for the partial molar volumes of species 1 and 2 at T and P.

Answer 1

The partial molar volumes of species 1 and 2 can be obtained by taking the derivative of the total molar volume equation with respect to each component. The equation for V1 is V1 = 120 + 15x2 - (15x2 + 8x1)x2 and the equation for V2 is V2 = 70 + 15x1 - (15x1 + 8x2)x1.

Step-by-step explanation:

The partial molar volumes of species 1 and 2 at T and P can be obtained by taking the derivative of the total molar volume equation with respect to each component.

For species 1, the partial molar volume (V1) is given by: V1 = 120 + 15x2 - (15x2 + 8x1)x2.

For species 2, the partial molar volume (V2) is given by: V2 = 70 + 15x1 - (15x1 + 8x2)x1.