$(27$ pts$)$ Carbon dioxide $(C{O}_2)$ is a greenhouse gas that must be removed from coal$-$fired power plant exhaust before the exhaust can be discharged to the outside air. $150mo\frac{l}{h}$ of a gas stream containing $10$mol$\%C{O}_2[C]$ and the balance air $A$ is contacted with a pure mixture of monoethanolamine $($MEA$)$ and water $[$MEA$-$W$]($assume the MEA$-$W mixture is one component$)$ at $40C$ and $10$atm in an absorption column. It is desired to remove $92$mol$\%$ of $C{O}_2$ from the air. $\frac{L^{\text{'}}}{L^{\text{'}}{?}^{\text{'}}}$ min is $1\mathrm{.}45.$ Assume solute free flow rates are constant, which means the MEA$-$water mixture is nonvolatile and air does not dissolve in the MEA$-$water mixture. Assume the column is isothermal at $40C$ and isobaric at $10$ atm. Graphs needed are provided at the end of this document.

a$)$ Draw a PFD and label using solute free flowrates and mole ratios $(3$ pts$)$

b$)$ Determine the minimum liquid solvent flowrate required $(L^{\text{'}}{?}^{\text{m}\text{i}\text{n}})(11$ pts$)$

c$)$ Determine the equation of the operating line $(6pts)$

d$)$ How many stages $(N)$ are required to get the desired separation? $(7$ pts$)$