1. A continuous fractional distillation column will be designed to separate a mixture containing 4 Tu% benzene and 58% toluene with a flow rate of 30,000 kg/h to contain 97% benzene in the upper product and 98% toluene in the lower product by weight. The recovery rate (reflux) has been determined to be 2.8 for 1 mole of product. Benzene and toluene form an ideal system with a relative volatility value of 1.8. The molal latent heat values for benzene and toluene are 7360 and 7960 cal/gmol, respectively. The molecular weights for benzene and toluene are 78 and 92 g/mol, respectively. The feed has a boiling point at 95C at a pressure of 1 atm. a) Calculate the upper and lower product quantities in mol/h Tu. b) The ideal number of stages and the stage at which the feed is made for the following three different situations determine. i) If the feed is liquid at the boiling point ii) Feeding liquid at 20C (specific temperature 0.44 cal/gC), iii) A mixture containing two-thirds of the feed liquid and one-third steam c) If steam with a gauge pressure of 20 lbf/in2 (1.36 atm) is used for heating, neglecting heat losses and assuming that the recovery (reflux) is a saturated liquid, how much steam per hour is required for each of the above three situations? d) If the cooling water enters the condenser at 32C and leaves at 48C, how many cubic meters of cooling water is needed per hour?