Absorption #$3$: Acetone$-$Water

We are going to absorb $95\%$ of the acetone in a gas stream containing $2\mathrm{.}0$ mole $\%$ acetone in air. The total inlet gas flow to the absorption column is $60\mathrm{.}0$kgmol$\frac{e}{h}r$ and the total water flow is $240$kgmol$\frac{e}{h}r.$ The process operates isothermally at $300$ K and a pressure of $1$ atm $.$ The equilibrium for this system is effectively characterized by either a Henry's Law relationship or Raoult's Law $($using partial pressure$),$ a general equilibrium relationship that can be used is $y{A}_A={2\mathrm{.}40}^{**}xA.$

$($a$)$ Plot the operating line and determine the minimum number of stages $($graphically$)$ for the equilibrium relationship provided.

$($b$)$ Confirm the results of part $($a$)$ using the analytical Kremser equation.

$($c$)$ Determine $($validate$)$ the equilibrium relationship that was assumed by determining and referencing a Henry's Law constant and also Raoult's Law. $[$References $/$ Sources needed$]$

$($d$)$ Repeat parts $($a$)$ and $($b$)$ for the equilibrium relationships determined in part $($c$).$ How significant are the equilibrium assumptions on the overall estimates for the number of stages needed?