Q1 Solid potassium sulfate (K2SO4) is obtained from an aqueous solution of this salt via two unit operations process, which are an evaporator and a unit of crystalizer and filter combination. The fresh feed to the process contains 19.6 wt% K2SO4. The evaporator has a maximum capacity to evaporate 175 kg water/s and can be able to evaporate 45.0% water of the feed. The wet filter cake discharged from the crystalizer-filter unit contains solid K2SO4 crystals and a 40.0 wt% K2SO4 solution, in a ratio 10 kg crystals/kg solution. The 40.0 wt% K2SO4 solution filtrate from crystalizer-filter unit is recycled to join the fresh feed. (a) Assume the process is operating at maximum capacity, (1) Illustrate a completely labelled flowchart of this process. (8 marks) (ii) Analyze the degree-of-freedom for the overall system, recycle-fresh feed mixing point, evaporator, and crystalizer-filter unit. (5 marks) (b) Calculate the maximum production rate of solid K2SO4, the rate at which fresh feed must be supplied to achieve this production rate, and the ratio kg recycle/kg fresh feed. (14 marks) (c) Calculate the compositions and feed rate of the stream entering the crystallizer- filter unit if the process is scaled to 75% of its maximum capacity (9 marks)