QUESTION $4$: Absorption and Stripping

$(20)$

Solvent $C$ absorbs component A from a gaseous mixture of A and $B$ into solvent $C($fiqure $4).$ The inlet qas contains $0,6$ moles A per mole B$.$

$Y_{in}=0$

Figure $4$: System of absorber and stripper used in question $4$

The gas is purified until it contains $0,1$ mol a per mol B$.$

The solvent used for the absorption is recovered in the stripping column and contains $0,05$ moles A per mole C$.$ Pure nitrogen is used as stripping gas. After absorption the solvent stream contains $0,35$ moles A per mole $C.$

The total flow rate of the inlet gas stream is $100mo\frac{l}{h}.$ The equilibrium relationship between A and $C$ can be represented in mole ratios as $Y=\frac{1}{2}x$ while the equilibrium between nitrogen and component $A$ is $Y=\frac{4}{3}x.$

State the assumptions required to do this analysis.

How many theoretical stages are required for the absorption process?

What is the flow rate of the solvent stream in moles $C$ per hour?

What is the minimum amount of nitrogen required to strip component A from the solvent in mol Nitrogen $\frac{?}{hr}?$ What is the concentration of Nitrogen in the outlet gas stream?

During normal operation, $4$ times the minimum amount of Nitrogen and $3$ real stages are used. What is the overall efficiency of the column? What will be the concentration of component $A$ in the outlet gas stream?