An absorber is to be designed to remove a voc pollutant

Question

An absorber is to be designed to remove a VOC pollutant from an exhaust gas stream. Fifteen cubic meters per minute of gas at 289 K and 1.013×10⁵ Pa containing 5.0 mol % VOC is fed to the bottom of the absorption tower. By feeding a VOC-free solvent stream to the top of the tower, the VOC concentration is reduced to 0.3 mol %.

The solvent stream leaves the tower containing 3.65 mol % VOC. With the specified stream flow rates, the overall mass-transfer capacity coefficient, K_Y a, equals 52.0 mol/ s: m². DY_A. The cross-sectional area of the tower is 0.2 m².

At 298 K, the equilibrium for the VOC-solvent system may be represented by

Y_A = 0.8X_A.

Determine the hight of the tower.