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2) Prior to the production of polyethylene, acetylene contamination in the gaseous ethylene feed stream is removed by absorption with DMF in a trayed tower at 15.6C and 3 atm. The vapor feed contains an acetylene mole fraction of 0.014; the vapor product contains an acetylene mole fraction of 0.002. The liquid absorbent feed contains no acetylene. Equilibrium data for acetylene partitioning between ethylene and DMF is given below. As it is currently running, the tower has 8 trays. For the purpose of this question, assume that we are operating in the very dilute regime (i.e. X=x and Y=y ). a. Samples are taken from the vapor and liquid phases of trays 4 and 5 . The liquid leaving tray 4 has an acetylene mole fraction of 0.015. The vapor leaving tray 4 has an acetylene mole fraction of 0.007. The vapor leaving tray 5 has an acetylene mole fraction of 0.009. Estimate the Murphree vapor efficiency of the column at tray 4. b. Assuming that the Murphree vapor efficiency is constant throughout the column and that the operating line is straight with a slope of 0.67, calculate the number of theoretical stages corresponding to the 8 actual trays of this absorber. c. The separation performed by this tower is to be reimplemented in a packed column with a liquid flow rate of 80lbmol/h, a vapor flow rate of 180lbmol/h, and a packing material with HOG=2.4ft. Temperature, pressure, feed compositions, and specified product composition are unchanged from those in the trayed tower. Calculate the total packed height of the column necessary to reimplement this separation