$(15\%)$ A countercurrent packed tower uses an organic amine to absorb carbon dioxide. The entering gas, which contains $0\mathrm{.}0126$ mole fraction $C{O}_2,$ is to leave with only $0\mathrm{.}0004$ mole fraction $C{O}_2.$ The amine enters pure, without $C{O}_2.$ If the amine left in equilibrium with the entering gas $($which it doesn't$),$ it would contain $0\mathrm{.}0080$ mole fraction $C{O}_2.$ The gas flow is $2\mathrm{.}3mo\frac{l}{s},$ the liquid flow is $4\mathrm{.}8mo\frac{l}{s},$ the tower's diameter is $40cm,$ and the overall mass transfer coefficient times the area per volume $K_G^{\text{'}\text{'}}a$ is $5{10}^{-5}mo\frac{l}{c}{m}^{3}s.$ Please calculate the required height of the tower and the required number of overall gas transfer units $N_{OG}.$