Carbon dioxide $($CO$2)$ is a greenhouse gas that must be removed from coal$-$fired power plant exhaust before the exhaust can be discharged to the outside air. $150$ mol$/$h of a gas stream containing $10$ mol$\%$ CO$2[$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 $40\backslash$deg C and $10$ atm in an absorption column. It is desired to remove $92$ mol$\%$ of CO$2$ from the air. L$/$L$$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 $40\backslash$deg C 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 b$)$ Determine the minimum liquid solvent flowrate required $($L$$min$)$

c$)$ Determine the equation of the operating line

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