1. A continuous fractionated distillation column will be designed to separate a mixture containing 45% benzene and 55% toluene at a flow rate of 30.000kgh, with 97% benzene in the upper product and 98% toluene in the lower product by weight. The recovery (reflux) rate is determined to be 3.3 per 1 mole of product. Benzene and toluene form an ideal system with a relative volatility of 2.3 . Molal latent heat values for benzene and toluene are 7360 and 7960cal/gmol, respectively. The molecular weights for benzene and toluene are 78 and 92g/mol, respectively. The feed has a boiling point of 95C at 1 atm pressure. a) Calculate the amounts of upper and lower product in mol/hr. b) Determine the ideal number of stages and the stage at which the feed is made for the following three different situations. i) Liquid at feed boiling point ii) Feed liquid at 20C (specific heat 0.44cal/gC ) iii) A mixture of two-thirds liquid and one-third vapor in the feed c) If steam with a gauge pressure of 20btin2(1.36atm) is used for heating, neglecting heat losses and assuming that the recovery (reflux) is a saturated liquid, how much steam is required per hour for each of the above three cases? d) If cooling water enters the condenser at 30C and leaves at 45C, how many cubic meters of cooling water are needed per hour