A pilot-scale tower packed to a height of 6.0 ft

Question
A pilot-scale tower packed to a height of 6.0 ft with 5/8- inch ceramic Raschig rings is used to study the absorption of carbon disulfide (CS , solute A) from nitrogen gas (N ) into a liquid absorbent solution at 24°C. The diameter of the tower is 0.50 ft. An inlet gas stream of total molar flow rate 2.0 lbmole/h and composition of 3.0 mole% CS enters the bottom of tower. The outlet gas composition of CS is 0.50 mole%. Pure solvent (molecular weight of 180 g/mole) of total molar flow rate 1.0 lbmole/h enters the top of the tower. The composition of CS in the outlet liquid is 4.8 mole%. Over the concentration range of operation, Henry’s law is valid with P = Hx , where H = 0.46 atm at 24°C. The total system pressure in the tower is 14.7 psig (gage pressure). Additional data: gas density, ρ = 0.16 lbm/ft ; liquid density, ρ ˆ 75 lb /ft ; liquid viscosity, µ = 2.0 cP.  a. Determine the minimum solvent flow rate AL .  b. Based on the conditions of operation, estimate the K a required for the packed-tower height of 6.0 ft.  c. At the conditions of operation, it can be calculated that the tower operates at 26% of the flooding velocity (G’ = 0.26 G’ ) . Recommend a new size of ceramic Raschig ring packing, which will bring the gas velocity within the range of 40–45% of the flooding velocity at the fixed tower diameter of 0.5 ft.

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