Consider the elementary reversible gas phase reaction.

$2AB+C$

Where $k=3\mathrm{.}764{10}^{-4}\frac{L^2}{(mol)*gcat*s},K_c=253\mathrm{.}8.$ If the reaction is to be carried out in

a packed bed reactor at $185C,$ what mass of catalyst is necessary to achieve $60\%$

conversion? The feed flows at $10\frac{L}{s}$ and is comprised of $30\%A,15\%B,5\%C,$ and

balance inert. The inlet pressure is $6\mathrm{.}67$atm and pressure drop across the reactor can be

modeled with the Ergun equation using $=6\mathrm{.}33{10}^{-8}{g}^{-1}.$