IIlustration $5\mathrm{.}1$ A wetted$-$wall absorption tower, $1$ in $(2\mathrm{.}54cm)$ ID$,$ is fed with water as the wall liquid and an ammonia$-$air mixture as the central$-$core gas. At a particular level in the tower, the ammonia concentration in the bulk gas is $0\mathrm{.}80$ mole fraction, that in the bulk liquid $0\mathrm{.}05$ mole fraction. The temperature $=80F(26\mathrm{.}7C),$ the pressure I sid atm. The rates of flow are such that the local mass$-$transfer coefficient in the liquid, from a correlation obtained with dilute solutions, is $k_L=0\mathrm{.}34mo\frac{l}{f}{t}^2*h*(lbmo\frac{l}{f}{t}^3)=2\mathrm{.}87{10}^{-3}$kmo$\frac{l}{m^2}*s.($kmol $\frac{?}{m^3}),$ and the local Sherrood number foc the gas is $40.$ The diffusivity of ammonia in air $=0\mathrm{.}890f\frac{t^2}{h}=2\mathrm{.}297{10}^{-5}\frac{m^2}{s}.$ Compute the local mass$-$transfer flux for the absorption of ammonia, jgnoring$-$the vaporization of water.

Mass$-$transfer flux The equilibrium$-$distribution data for ammonia are taken from those at $26\mathrm{.}7C$ in "The Chemical Engineers' Handbook," Sth ed$.,$ p$.3-68$:

$\backslash$table$[[,N{H}_3$ partial pressure,$],[,I\frac{b_1}{i}{n}^2,\frac{N}{m^2}\frac{?}{b}=ar(p{)}_A,\frac{?}{\text{b}\text{a}\text{r}}(y{)}_A=\frac{\text{h}\text{a}\text{t}(p{)}_A}{1\mathrm{.}0133{10}^5}$