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The molar volume (cm-mol-1) of a binary liquid mixture at T and P is given by: V = 120 x1 + 70x2 + (15x1 +

The molar volume (cm-mol-1) of a binary liquid mixture at T and P is given by: V = 120 x1 + 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 summability rule M = ; x;M; the given equation for Vis recovered. (c) Show that these expressions satisfy Eq. (10.14), the Gibbs/Duhem equation. (d) Show that at constant T and P (d) =0. dx. x=1 X1=0 (e) Plot values of V, V., and Vcalculated by the given equation for V and by the equations developed in (a) vs. X. Label points V, V2, V, and V and show their values.

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