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A rack tower will be designed to absorb SO2 (sulfur dioxide) from an air stream at 293 K using distilled water. At a total pressure of 101.3 kPa, the entering gas contains 20 mol% and the leaving gas contains 2 mol% SO2. The inert air flow rate is 300 kg air/hr m and the inlet water flow rate is 12000 kg water/hr m. Calculate the theoretical number of racks and actual racks, assuming that the overall rack efficiency is 30%. Equilibrium data for SO2-Water system at 293 K and 1 atm pressure are given in the table. Assume that the tower is operated at 293 K. (Molecular weight of water: 18 kg/kgmol, Molecular weight of air: 29 kg/kg mol)

The mole fraction of SO, in the liquid phase, XA The mole fraction of SO0 in the gas phase, YA 0 0.0001403 0.000422 0.000842 0.001965 0.00420 0.00698 0 0.00158 0.00763 0.01855 0.0513 0.121 0.212