The molar volume (cm³ mol*) of a binary liquid mixture at T and P is given by: V = 120x, + 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 the derived expressions for the partial molar volumes are combined in accord with the summability relations, the given equation for V is recovered. c) Show that the derived expressions for the partial molar volumes satisfy the Gibbs/Duhem equation. d) Plot the values of V, V,, and V½ vs. X¡ in Excel. Label points V, V2, V,ºand Vº and show their values.

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