One approach to treating a liquid is to assume that it behaves as a "gas" of independent molecules, provided that: (1) the interaction of each molecule with the others is represented by a constant potential, -º; (2) each of the ni liquid molecules moves freely in a total volume v1 = nivo, where vo is the (constant) volume per molecule in the liquid phase. (a) calculate the chemical potential for ni liquid molecules at temperature t (b) treat liquid vapor (n, molecules in volume vg) as an ideal gas, and obtain chemical potential at temperature t (c) obtain an expression for the vapor pressure at temperature t in which the gas is in equilibrium with the liquid as a function of t, vo and 0. analyze the limits of high and low temperatures and comment physically.