OUESTION $2[24$ Marks$]$

You are tasked with designing a $1\mathrm{.}56m$ wide gas absorption system for removing carbon dioxide from flue gas in a coal$-$fired power plant. The coal plant generates large quantities of flue gas $(115k\frac{g}{m}in)$ containing significant amounts of carbon dioxide $(22\mathrm{.}8$mol$\%),$ a major greenhouse gas contributing to climate change. Monoethanolamine, along with carbon dioxide, enters the column at $777$ and $5k\frac{g}{m}in,$ respectively. The goal is to evaluate the absorption system that can effectively capture $C{O}_2$ from the flue gas, allowing for its sequestration or utilization while minimizing energy consumption and operational costs. If the concentration of monoethanolamine leaving the column is $90$mol$\%,$ estimate the molar ratios in every stream and the composition of carbon dioxide exiting with the gas stream. Hint: $M{W}_{\text{f}\text{l}\text{u}\text{e}}=27\mathrm{.}7k\frac{g}{k}$mol

$$ NOTE: This is a chemical engineering probles in separation process module. liquid$-$liquid extraction.

Note: keep the units to kg$/$min