QUESTION $2[24$ Marks$]$

You are tasked with designing a $1\mathrm{.}56$ m 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 $(115$ kg$/$min$)$ 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 $5$ kg$/$min$,$ respectively. The goal is to evaluate the absorption system that can

effectively capture CO$2$ 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: $M{W}_{\text{f}\text{l}\text{u}\text{e}}27\mathrm{.}7$ kg$/$mol$.$