Question $1$

$[15]$

In an experiment on absorption of sulphur dioxide from a dilute air$-S{O}_2$ mixture containing $3\mathrm{.}5\%$ by volume $S{O}_2$ in a wetted wall tower water was used as a solvent following at $0\mathrm{.}76\frac{m}{s}$ and containing $0\mathrm{.}05\%S{O}_2.$ The molar flowrate of the gas stream was measured to be $0\mathrm{.}0941mo\frac{l}{s}$ at $20C$ and the column diameter was $40mm.$ The equilibrium relationship for $S{O}_2-$ Water is given by $Y_A=32\mathrm{.}991x_A.$ Calculate the overall mass transfer coefficient $K_y$ and the interfacial composition give the following data:

Gas viscosity

Liquid viscosity

Liquid density

Diffusivity of $S{O}_2$ in air

Diffusivity of $S{O}_2$ in water

F$-$type mass transfer coefficient for the liquid phase

$=0\mathrm{.}0178cP$

$=1$mPa$*s$

$=998k\frac{g}{m^3}$

$=0\mathrm{.}12c\frac{m^2}{s}$

$=1\mathrm{.}5{10}^{-5}c\frac{m^2}{s}$

$=2\mathrm{.}19{10}^{-3}$kmo$\frac{l}{m^2}.s$