In a packed absorption column, $3\mathrm{.}60\%$ in molar composition

Pure water with a flow rate of $13$ kmol$/$h is used to recover ammonia in the air$-$ammonia mixture containing ammonia vapor. The inert gas flow rate in the column is $10$ kmol$/$h and the molar composition of the gas stream leaving the process contains $0\mathrm{.}80\%$ ammonia.

The absorption column is operated at $15\backslash$deg C and $101\mathrm{.}32$ kPa pressure. Film coefficients under these conditions;

k$,$a$=8$x$10$ kmol$/$m$^3$s and k$,$a$=4$x$10$ kmol$/$m$^3$s$.$

Using the $($x$-$y$)$ balance diagram given in the appendix;

a$)$ Find the equilibrium compositions for the upper region of the column $(1)$

b$)$ Find the equilibrium compositions for the lower region of the column $(2).$

c$)$ Using the liquid side volumetric film mass transfer coefficient, calculate the required column height $(2)$ for a column with a diameter of $2$ m$.$

IMPORTANT NOTE: Perform the calculations with a precision of $4$ after the decimal point.

Since I cannot add the image, I am writing the parts of the column:

$($upper region of the column $(1))$

gas output $($y$1)=0\mathrm{.}0080$

pure solvent $($x$1)=0$

$($lower region of the column $(2))$

gas input $($y$2)=0\mathrm{.}036$

liquid output $($x$2)=?$