P$10-4$ Consider the catalytic reaction as a function of the initial partial pressures

$2AB+C$

The rate of disappearance of species A was obtained in a differential reactor and is shown below.

$($a$)$ What species are on the surface?

$($b$)$ What does Figure B tell you about the reversibility and what's adsorbed on the surface?

$($c$)$ Derive the rate law and suggest a rate$-$liming step consistent with the above figures.

$($d$)$ How would you plot your data to linearize the initial rate data in Figure A$?$

$($e$)$ Assuming pure $A$ is fed, and the adsorption constants for A and $C$ are $K_A=0\mathrm{.}5at{m}^{-1}$ and

$K_C=0\mathrm{.}25at{m}^{-1}$ respectively, at what conversion are the number of sites with A adsorbed on the

surface and $C$ adsorbed on the surface equal? $($Ans$.$: $x=0\mathrm{.}66)$