A chemical separation plant utilizes an absorber and stripper.Target Recovery:Ninety percent $(90\%)$ of Hydrocarbon X must be removed from the incoming gas stream. This gas stream initially contains a specific concentration of Hydrocarbon X $(0\mathrm{.}06$ moles per mole of X$-$free gas$).$Feed Streams:Gas Stream: The gas stream entering the absorber contains the Hydrocarbon X we want to capture. The concentration is quantified as a ratio of moles of Hydrocarbon X to moles of all other components in the gas $($excluding Hydrocarbon X$).$ This ratio is $0\mathrm{.}06.$Oil Stream: The oil enters the top of the absorber$.$ This oil initially has a low concentration of Hydrocarbon X $(0\mathrm{.}01$ moles per mole of pure oil$).$Product $($Benzene$-$rich Oil$)$: The exiting liquid stream from the absorber has a higher concentration of Hydrocarbon X $=0\mathrm{.}19$ moles per mole of pure oil.Vapors are condensed, separated, and removed.Conditions:The entire process operates at a constant temperature $(25\backslash$deg C or $77\backslash$deg F$).$For the stripping stage, a high$-$temperature steam $($benzene$-$free$)$ is used to remove the Hydrocarbon X from the rich oil. The stripping stage operates at a higher temperature $(110\backslash$deg C$).$The ratio of the flow rate of the pure oil entering the absorber to the flow rate of the benzene$-$free steam is $2\mathrm{.}0.$Molecular weight $($MW$)$ of the oil: $200$Molecular weight of Hydrocarbon X: $78$Molecular weight of the non$-$Hydrocarbon X gas components: $32$Determine the number of theoretical stages.