In an absorption process, the component is taken from the A-B binary gas mixture fed as 0.4 mole fraction A from the tower base, with a suitable washing solution, and is reduced to 0.02 mole fraction A at the tower exit. Using Simpson's equation, calculate the tower fill height for the following data.

On Tower Hill; y=0.02 a= specific surface of filler, m2/m3 k'ya= 137.01 (kmol/h.m2)(m2/m3) s= 0.093 m2 (empty tower cross-sectional area) V= 2.4 kmol/h (gas phase molar flow rate)

At the Tower Base; y= 0.4 V= 3.92 kmol/h k'ya= 251.64 (kmol/h.m2)(m2/m3)

0.0200 0.0676 0.1151 0.1626 0.2100 0.2575 0.3050 0.3525 0.4000 0.0078 0.0350 0.0755 0.1120 0.1545 0.1988 0.2450 0.2952 0.3473 yi