Problem 5: For a binary system of ethanol (1) and water (2) at 298.15K, the activity coefficient of ethanol as a function of composition is given by ln1=(1x12)(1.5311.289x10.207e11x1)lnP1Sat=12.2917T41.683803.98lnP2Sat=11.6834T46.133816.44 Where P is in bar, and T in K. a) Derive an expression for the activity coefficient of water ln2. b) Calculate the infinite dilution activity coefficients. (Ans: 1=3.758 ) c) Calculate the composition and pressure of the azeotrope. d) Calculate the bubble pressure at x1=0.3 and T=298.15K. Also calculate the vapor composition in equilibrium. e) Calculate the dew pressure at y1=0.3 and T=298.15K. Also calculate the liquid composition in equilibrium. f) Calculate the bubble temperature at x1=0.3 and P=2Pbubble+Pdew. Also calculate the vapor composition in equilibrium. g) Calculate the bubble temperature at y1=0.3 and P=2Pbubble+Pdew. Also calculate the vapor composition in equilibrium