Absorption #$1$: Acetone$-$Oil Absorption

By means of a plate column, acetone is absorbed from its mixture with air in a non$-$volatile absorption oil. The entering gas contains $20\mathrm{.}0$ mole percent acetone, and the entering oil is acetone$-$free. Of the acetone in the air, $98\mathrm{.}5$ percent is to be absorbed$,$ and the concentration of the liquor at the bottom of the tower is to contain $5$ mole percent acetone. The equilibrium relationship is $y_e=1\mathrm{.}80x_e.$

Plot the operating line and determine the minimum number of stages.

Hint: Choose $100$ moles of entering gas as a basis.

Absorption #$2$: Ammonia$-$Water Absorption

If an ammonia absorber has $10\%$ ammonia in the inlet gas and no ammonia in the incoming water, what fraction of the ammonia could be absorbed with an absorption factor of $A=0\mathrm{.}85$ and $N=2?N=5?$

Graph the relationship between ammonia absorbed and number of ideal stages $(N).$ What impact does the absorption factor have on the results?

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 $300K$ 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?

Stripping #$1$

Ammonia is stripped from a dilute aqueous solution by countercurrent contact with air in a column containing seven sieve trays. The equilibrium relationship is $y_e=0\mathrm{.}75x_e,$ and when the molar flow of air is $1\mathrm{.}8$ times that of the solution, $90\%$ of the ammonia is removed.

$($a$)$ How many ideal stages does the column have and what is the stage efficiency?

$($b$)$ Under what thermodynamic conditions $($temperature$,$ pressure$)$ is the column operating? $[$Discuss$]$