Absorption of Ammonia in Packed Tower. A gas stream contains $4\mathrm{.}0$mol$\%N{H}_3$ and its ammonia content is reduced to $0\mathrm{.}5$mol$\%$ in a packed absorption tower at $293$ K and $1\mathrm{.}013{10}^{5}Pa.$ The inlet pure water flow is $68\mathrm{.}0$kgmo$\frac{l}{h}$ and the total inlet gas flow is $57\mathrm{.}8$kgmo$\frac{l}{h}.$ The tower diameter is $0\mathrm{.}747$ m $.$ The film mass$-$transfer coefficients are $k_y^{\text{'}}a=0\mathrm{.}0739$kgmo$\frac{l}{s}*m^3*molfrac$ and $k_x^{\text{'}}a=0\mathrm{.}169$kgmo$\frac{l}{s}*m^3*mol$ frac. Using the Transfer unit method for dilute gas mixtures, do as follows.

Calculate the tower height using $K_y^{}{?}^{\text{'}}a.$

Ans.

$($a$)z=2\mathrm{.}362m(7\mathrm{.}75ft)$