Ammonia is to be removed from a $10$ per cent ammonia$-$air mixture by countercurrent scrubbing with water in a packed tower at $293K$ so that $99$ per cent of the ammonia is removed when working at a total pressure of $101\mathrm{.}3k\frac{N}{m^2}.$ If the gas rate is $0\mathrm{.}95k\frac{g}{m^2}s$ of tower cross$-$section and the liquid rate is $0\mathrm{.}65k\frac{g}{m^2}s,$ what is the necessary height of the tower if the absorption coefficient $K_{G}a=0\mathrm{.}001$kmo$\frac{l}{m^3}s(k\frac{N}{m^2})$ partial pressure difference. The equilibrium data are:

Concentration

$\backslash$table$[[$Concentation $($kmol NH$3/$kmolwater$),0\mathrm{.}021,0\mathrm{.}031,0\mathrm{.}042,0\mathrm{.}053,0\mathrm{.}079,0\mathrm{.}106],[$Partial pressure $N{H}_3(k\frac{N}{m^2}),1\mathrm{.}6,2\mathrm{.}4,3\mathrm{.}3,4\mathrm{.}2,6\mathrm{.}7,9\mathrm{.}3]]$