The production column needs to reduce the pollutant composition in an effluent gas from 500 ppm to 150 ppm, with a gas molar flow rate of 20 mol/s. The Henry's law constant for the gas is 75 atm/mol fraction at ambient temperature, and the column will be operated at 5 atm. pressure. For the given molar flow rate of the gas and packing material used, vendors suggest that a molar liquid flow rate of 500 mol/s in a column that is 80 cm in diameter will lead to excellent distribution of gas/liquid. Unfortunately, we have no idea what the mass transfer coefficient is. However, we have a bench scale (pilot) column that is 1.5 m tall and 20 cm wide. The pumping system can handle a wide range of gas and liquid flows, so is not limiting. A large supply of the same effluent gas will ultimately be treated in the production column is available for pilot experimentation. The pilot column can be run at the same temperature and pressure as in the production column. The liquid flow rate is maintained at 31.25 mol/s and the gas flow rate is maintained at 1.25 mol/s in the pilot plant linear speed of gas remains the same as the production scale so that the mass transfer coefficient we will extract in the bench scale facility will be a good estimate for that in production scale configuration. a) Once the liquid and gas flow rates are chosen, the pilot column is run, and the measured pollutant composition in the pilot column effluent gas is 400 ppm. Determine the mass transfer coefficient in the pilot column. Ans: 6 x10-6 mol/cm3. s b) Determine the height of the production scale column. Ans: 10 m