Pure water was used to remove 90% ammonia from the gas mixture in packed bed tower. The gas mixture which contain 5 mol% NH3 enters from the bottom of the column at flow rate of 100 kmol/h. Pure water enters from the top of the column at a flow rate 1.5 times minimum pure water flow rate (1.5 L’ min). The column cross sectional area is 0.20 m2. The equilibrium relationship for NH3 and water is given by y = 0.8915x. The film mass transfer coefficients are given as k’ya = 0.0739 kmol/s.m3 and k’xa = 0.169 kmol/s.m3.
Determine the height of the packed tower using liquid film mass transfer coefficient, k’xa.