Problem $1$: We have a following reaction in gaseous$-$phase catalytic reaction:

$A+BC,$

along with the experimental raw data $(P_i$ : Partial pressure for i species$)$ obtained from a PBR$.$ This reaction is found to be irreversible. A feed stream contains $40\%$ of A$,50\%$ of B$,$ and $10\%$ of inerts. The molar feed rate of $A$ to the reactor is $50mo\frac{l}{s}$ when the inlet pressure and temperature are at $50$atm and $500C.$ The pressure$-$drop parameter, $,$ is $3{10}^{-2}{g}^{-1}.s$