$1.-$ Estimate the height of an absorber that is packed with $1-$inch Rashig rings, if the tower absorbs $80\%$ of component A of an inlet gas stream that initially contains $5\%$ in mole of A$.$ The solvent S that has a composition of $0\mathrm{.}01$ fraction mol of A is fed at a rate of $20$ lbmol$/$h ft$\text{'}$ against the current with the gas that enters at a rate of $10$ Ibmol$/$h ft$?.$ It can be assumed that the volumetric coefficient, Kga is constant along the column and equal to $0\mathrm{.}9$ Ibmol$/$h ft$\text{'}$ atm. The equilibrium conditions of gas A with the solvent, at a temperature of $65\backslash$deg F and $1$ atmosphere, are shown in the table, in mol fractions.$\backslash$table$[[x_A,\backslash$table$[[0\mathrm{.}0],[0]],0\mathrm{.}010,0\mathrm{.}020,0\mathrm{.}030,0\mathrm{.}040,0\mathrm{.}050],[y_A,\backslash$table$[[0\mathrm{.}0],[0]],0\mathrm{.}0025,0\mathrm{.}0085,0\mathrm{.}0205,0\mathrm{.}0430,0\mathrm{.}0800]]$