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

A $+$ B C$,->$

along with the experimental raw data $($Pi: 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 $50$ mol$/$s when the inlet pressure and temperature are at

$50$ atm and $500$ oC$.$ The pressure$-$drop parameter, $\backslash$alpha $,$ is $3\backslash$times $10-2$ g$-1$

$.($a$)$ Write a possible rate law in agreement with the experimental data as a function of the partial

pressures. Which species are expected to be adsorbed on the surface based on your rate law? $($b$)$ Using a nonlinear regression method, estimate $$three$$ rate law parameters appearing on your

rate law obtained in $($a$).($c$)$ Plot and analyze how p$,$ X$,$ PA$,$ PB$,$ PC$,$ and $-$rA$\text{'}$ vary as a function of W$.$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 $3{10}^{-2}{g}^{-1}.(45pts)$

$\backslash$table$[[$Run$,P_A(atm),P_B(atm),P_C(atm),-$cat's$)],[1,0\mathrm{.}1,1,2,0\mathrm{.}057],[2,1,10,2,4\mathrm{.}21],[3,10,1,2,0\mathrm{.}75],[4,1,20,2,8\mathrm{.}45],[5,1,20,10,2\mathrm{.}88],[6,20,1,2,0\mathrm{.}79],[7,1\mathrm{.}3,1,2,0\mathrm{.}38],[8,1,20,5,4\mathrm{.}7],[9,1,5,2,2\mathrm{.}11],[10,1,20,1,11],[11,0\mathrm{.}1,1,2,0\mathrm{.}057]]$

$($a$)$ Write a possible rate law in agreement with the experimental data as a function of the partial pressures. Which species are expected to be adsorbed on the surface based on your rate law?