Question $8$

$(max10)$

The gas $S{O}_2$ is being scrubbed from a gas mixture by pure water at $303K$ and $1\mathrm{.}013{10}^{5}Pa.$ The inlet gas contains $6\mathrm{.}00$mol$\%S{O}_2$ and the outlet $0\mathrm{.}3$mol$\%S{O}_2.$ The tower cross$-$sectional area of packing is $0\mathrm{.}426m^2.$ The inlet gas flow is $13\mathrm{.}65$kgmol inert air$/$h and the inlet water flow is $984kg$ mol inert water $\frac{?}{h}.$ The mass transfer coefficients are $H_L=0\mathrm{.}436m$ and $k_{G}a=6\mathrm{.}06{10}^{-7}kgmo\frac{l}{s}.m^3.Pa,$ and are to be assumed constant in the tower for the given concentration range. Use equilibrium data from the table. By numerical or graphical integration, determine $N_{}.$

Equilibrium data for $S{O}_2-$ Water system at $303K$

$\backslash$table$[[\backslash$table$[[$Mole fraction $S{O}_2$ in liquid$],[x_A$