Due Date: $3/18/2023$ Monday, $11$:$59$ pm $($eLearning Dropbox submission$)$

Q$1)$ An air stream is contaminated with benzene, and your task is to remove the toxic benzene. An air$-$benzene mixture at $298K$ and $1$ bar contains $0\mathrm{.}75$mol$\%$ benzene and is fed countercurrently at a rate of $5000\frac{L}{?}$ second to a moving stream of activated carbon. In this process, $85\%$ of the benzene is to be removed. The entering activated carbon to the process contains $20c{m}^3$ benzene vapor $($at STP$)$ per gram of carbon.

$($a$)$ Plot equilibrium data as $x=kg$ benzene$/kg$ dry carbon vs$.Y=kg$ benzene$/kg$ air for a pressure of $1$atm $($total$).($check data table on next page$)$

$($b$)$ Calculate the minimum flowrate of entering carbon required to extract the specified benzene.

$($c$)$ Now assume that you are operating with entering carbon of $5\%$ above the minimum. What is the exit concentration of benzene in the carbon?

$($d$)$ Add two operating lines to your plot representing the two conditions in $($c$).$

$($e$)$ Estimate the ideal number of stages for the conditions in $($c$).$

Equilibrium data for this system at $298K$ and $1$ bar may be assumed to be:

$\backslash$table$[[\backslash$table$[[$Benzene vapor adsorbed$],[($STP$)/$g of carbon$)]],\backslash$table$[[$Partial pressure of$],[$benzene $(mmHg)$