Feed mixture contains $5$ mol$\%$ propane and $95$ mol$\%$ propylene $($C$3$H$6),$ is used to

produce butanal $($C$4$H$8$O$)$ according to the following reaction:

C$3$H$6+$ CO $+$ H$2->$ C$4$H$8$O

An overall C$3$H$6$ conversion of $0\mathrm{.}9$ can be achieved. Propane is an inert and therefore,

a purge stream is installed to avoid accumulation of propane in the process. The

single$-$pass conversion of propylene in the reactor is $0\mathrm{.}3.$ The butanal production rate

is maintained rate of $180$ kmol$/$h$.$ Unreacted hydrogen and carbon dioxide is

separated and sent to surge tanks $($stream $6).$

a$)$ Find the NDF for each control volume $(16$ marks$)$

b$)$ Calculate the flow rate of the fresh propane$/$propylene stream to the process

$($kmol$/$h$),$ the mole percentage of inert in the purge stream, and the total flow

rate $($kmol$/$h$)$ of the feed to the reactor. $(10$ marks each$=30$ marks$)$