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PROBLEM #1 (40 points) Ethanol is now at the core of the energy economy. Given a binary mixture system of ethanol(1)/water(2) at 80 degC. We need to conduct an analysis of phase equilibrium of the system by answering the following questions. a) (20 points) Given that the excess Gibbs energy for the ethanol(1)/water(2) system at 80 degC is well represented by (A2121 + A1212).2112 GE RT and activity coefficents at infinite dilutions (from two-parameter Margules equations) are & rio = 1.732 Y = 1.964 determine the activity coefficients 7 & 72 given that the liquid phase contains 60 mole percent ethanol and 40 mole percent water. 1) (10 points) Assuming ideal vapor phase determine the system pressure P and vapor com position at 80 degC in equilibrium with liquid of 60 mole percent ethanol(1) and 40 mole percent water(2).