$C_3{H}_{8(liq.)}{C}_3{H}_6(liq.)+H_2(gas)$ Desired Reaction $(80\%$ Selectivity$)$

$C_3{H}_{8(liq.)}C{H}_2=C=C{H}_2(liq.)+2H_2(gas)$ Undesired Reaction $(\frac{20}{\%}$ Selectivity$)$

$5C{H}_2=C=C{H}_{2(liq.)}+5H_2(gas)C_{15}{H}_{30}(solid)$ Very Fast Polymerization

Because a single$-$pass propane conversion of only $40\%$ is expected with this catalyst, it is thought that a

recycle$/$purge dehydrogenation reactor will be able to achieve a much higher overall conversion of

propane to propylene. Experiments have shown that the catalyst can tolerate $C_4+$ species without losing

activity. A plate$-$and$-$frame filter press following the reactor will remove virtually all of the suspended

polymerization solids formed in the reactor.

A product recovery distillation column following the press will produce a propylene$-$rich $(95$ mole $\%)$

liquid distillate $($from top of column$)$ product with a target flow rate of $250MM$ pounds per calendar

year. The unit will also be designed to recover $97\mathrm{.}5\%$ of the propane in the column feed; that is $97\mathrm{.}5\%$

of the propane leaves in the bottom. The column's condenser $($which condenses the distillate$)$ will be

refrigerated to produce a vent gas stream containing $95$mol$\%H_2$ and $5$mol$\%$ propylene. All of the

hydrogen leaves in the vent. The bottoms liquid $(85\%$ of which will be recycled to the reactor inlet$)$ will

contain propane, propylene, and n$-$butane. This column, as well as the feed fractionation column, will be

equipped with a partial reboiler and valve trays that are $80\%$ efficient. The utilities available at the site

are recirculated process water at $80F,$ refrigeration $(\{$:COP$=3),$ and saturated steam at $150$ psig.

Please assist the investigation of the feasibility of the proposed FCC diversification option by

completing the following task:

Use your diagram to complete a full material balance and create a stream table. Calculate the required

feed rate $(MMlb\frac{s}{y}r)$ and calculate the overall $\%$ conversion of propane in the surplus $NGL$ refinery

stream.