3 Question 4 (10 points) A liquid mixture containing 35.0 mole% acetone and 65.0 mole% water is to be partially vaporized in a process vessel called an evaporator to produce a vapor and a liquid stream. The vapor and liquid streams exiting the evaporator are at equilibrium with each other and the evaporator operates at steady state. The liquid mixture is fed into the evaporator at a rate of 10.0 kmol/hr. Water and acetone are miscible liquids and they can be modeled using Raoult's Law. The vapor pressures of water and acetone can be estimated using the following relationships (where P is in mmHg and T is C): 1210.595 T+229.664 1668.21 T +228 = - Acetone: logP, = 7.11714 Water logP, = 7.96681 a) The evaporator operates at 0.574 atm. How would you determine the minimum operating temperature to ensure that two phases form in the separator Set up the equation you would use to solve this problem. Include all known values in your proposed equation. You do not need to solve the equation to determine the minimum temperature. b) The operating temperature and pressure are maintained at 65C and 0.574 atm, respectively. At these conditions, the vapor pressure of acetone is 1020 mmHg and the vapor pressure of water is 160 mmHg. Determine: i) Mole fraction of acetone in each of the product streams. b) The operating temperature and pressure are maintained at 65C and 0.574 atm, respectively. At these conditions, the vapor pressure of acetone is 1020 mmHg and the vapor pressure of water is 160 mmHg. Determine: i) Mole fraction of acetone in each of the product streams. ii) Molar flow rate of each of the product streams using material balance equations. iii) Molar flow rate of either of the product streams using lever rule. iv) Sketch a P-X diagram of the binary system at 65C, including the following: Label the axes Label the bubble point and dew point lines Identify on the plot the conditions of the feed stream (F), the liquid outlet stream (L) and the vapor outlet stream (V) Label the vapor pressures of each component