Apparent Rate of Reaction for a Second$-0$rder Surface Reaction

$($a$)$ Show the steps involved in the derivation of the apparent rate of

reaction for a second$-$order reaction occurring at a catalytic surface

as defined by eq$.(3\mathrm{.}1-6)$ in the text.

$($b$)$ Show the limiting forms of the rate for the cases of $(1)$ reaction

controlling and $(2)$ mass transfer controlling