In an experimartal study on absorption of $S{O}_2$

in a stirred cell, $100ml$ of watre is taken in the cell

as in figure and a mixture of

$14\mathrm{.}2\%S{O}_2$ and $85\mathrm{.}8\%N_2$ is passed

through the cell at a vate of

$1\mathrm{.}5$ liter per minute at $20C$ and

$1$atm pressure. Water is also passed

through the cell at a rate of $27ml$

per minute, the volume of solution

being maintained at $100ml.$ Both

the gas and the liquid phases are well stirred. The outlet

gas has $11\%S{O}_2$ in it at steady state. The gas phase mass

transfer coefficient has been measured seperately

$($by absorbing $N{H}_3$ in a solution of $H_{2}S{O}_4$ under identical

conditions of stirring in the cell and making the necessary

diffusivity correction$)$ and is found to be $3\mathrm{.}8\frac{\text{k}\text{m}\text{o}\text{l}}{h(m^2)y}$

$($a$)$ calculate the concent ratio of $S{O}_2$ in effluent solution,

the liquid phase mass transfer coefficient and rate of surface renewal.

$($b$)$ What must be the flowrate of water through the cell so

that the rate of absorption increases and out let gas concentration

drops to $10\%?$ Solubility of $S{O}_2$ in water is given by $y=3x$

in concentration range; diffusivity in water $=1\mathrm{.}51{10}^{-5}\frac{c{m}^2}{s},$