A continuous fraction distillation column will be designed to spin a mixture containing 45% benzene and 55% toluene with a flow rate of 30,000kg/hr, containing 97% benzene in the upper product by weight and 98% toluene in the lower product. Recovery (reflux) rate. It is determined to be 3.3 for 1 mole of product. Benzene and toluene form an ideal system with a relative volatility of 2.3. Molal latent work values for benzene and toluene, respectively 7360 and 7960cal/gmol. The molecular weights for benzene and toluene are strastyla 78 and 92g/mol. The feed has a boiling point of 95C at I atm. a) Calculate the amount of upper and lower product in mol/h. b) Determine the ideal number of stages and the stage where the feed is made for the following three different situations. i) Liquid at feed boiling point ii) Feed liquid at 20C (specific isist 0.44cal/gC ) iii) A mixture containing two-thirds liquid and one-third steam of the feed c) 20 lbs in for heating? If steam with a gauge pressure of (1.36 atm) is used, how much steam per hour is required for each of the above three cases, ignoring heat losses and assuming reflux is a saturated liquid? d) If the cooling water enters the condenser at 30C and leaves at 45C, how many cubic meters of cooling water per hour are needed