Problem $2(15/100)$: The gas$-$phase reaction $A2B$ is carried out isothermally in a packed

bed reactor. The reaction is zero order in A with the reaction rate constant of $0\mathrm{.}01mo\frac{l}{k{g}_{\text{c}\text{a}\text{t}}\text{m}\text{i}\text{n}}.$

Pure A enters the reactor at $10$atm at a molar flow rate of $1\mathrm{.}5mo\frac{l}{m}in.$ The parameter $$ in the

pressure drop equation is $0\mathrm{.}001k{g}^{-1}.$

What would be the conversion and outlet pressure if the weight of the catalytic bed is $100$

$kg?$ show full calculations