Consider a cylindrical tank with diameter = 0.2 m and height = 0.1 m. The tank is sealed off from the top and is in thermal equilibrium with the surroundings at T = 300 K. At equilibrium, the tank is filled up to a height of 0.05 m with a liquid mixture of A and B. The total pressure is 50 kPa. (a) Find the mole fractions of A in the liquid and the vapor phases. [10 points] (b) Find the number of moles and A and B in the liquid phase. [10 points] (c) 10 moles of A are added to the tank. Find the new pressure and mole fraction of A in the liquid and vapor phases. [10 points] Following information is given: ???????????????? ???????????????????????? = 82 ????????????????????????. ???????????????? ???????????????????????? = 24 ????????????????????????. The excess Gibbs free energy of the mixture is given by, ???????? ???????? ???????????????? = 0.6???????????????? ????????????????. The pure component liquid molar volumes are ???????????????? = 0.016 ????????????????????????????????????????/???????????????????????? and ???????????????? = 0.012 ????????????????????????????????????????/