$\frac{30}{09}\frac{?}{2021(14\text{:}00)}$

Problem $1($Chapter $6)$: The ammonia in the air at $20C,1$atm was absorbed by pure water $(20C)$ in the tray tower with countercurrent flow. The flow of gas inlet is $41\mathrm{.}6\frac{m^3}{h}.$ If the concentration of ammonia was reduced from $3\mathrm{.}52\%$ to $1\mathrm{.}26\%($volumetric$),$ the water rate of $1\mathrm{.}37$ times the minimum is to be used. Find: $($a$)$ the minimum rate $\frac{L_s}{G_s}$; $($b$)$ the flow rate of water has been used; $($c$)$ concentration of ammonia in water; $($d$)$ number of ideal tray.

Equilibrium data at $20C,1$atm are:

$\backslash$table$[[x,$kmolN$\frac{H_3}{k}$mol water,$0\mathrm{.}0164,0\mathrm{.}0252,0\mathrm{.}0349,0\mathrm{.}0455,0\mathrm{.}0722],[Y,$kmolN$\frac{H_3}{k}$mol air,$0\mathrm{.}021,0\mathrm{.}032,0\mathrm{.}042,0\mathrm{.}053,0\mathrm{.}08]]$

Solution

$V_{c1}=41\mathrm{.}6\frac{m^3}{(h)}$;$y_1=3\mathrm{.}52\%$;$y_2=1\mathrm{.}26\%$;$x_2=0$;$L_s=1\mathrm{.}37L_{\text{m}\text{i}\text{n}}$;$T=20C$;$P=1$ atm