gas stream containing a valuable hydrocarbon $($Molecular weight$=44)$ is to be scrubbed with

a non$-$volatile oil $($Molecular weight$=300)$ in a tower packed with $1-$inch Raschig rings. The

entering gas contains $20$ mol$\%$ hydrocarbon and $95\%$ of this hydrocarbon is to be recovered.

The inert gas molecular weight is $29.$ The gas stream enters the column at $5000$ kg$/$m$2$

$.$hr and

hydrocarbon free oil enters the top of the column at $10000$ kg$/$m$2$

$.$hr$.$

$($i$)$ Calculate the exit gas and exit liquid mole fractions. $($ii$)$ With a simple sketch,

precisely show various streams and their corresponding values. $($iii$)$ Develop a

mathematical expression of the operating line $($on inert basis$).($iv$)$ If the equilibrium

data is given, can the Colburn$$s analytical method be used to find NTU or NOG for the

aforementioned numerical? Justify.