Answer neatly and in detail!

fume industry $[$Ind$.$ Eng. Chem. Res., $28,693(1989)].$ Recent work has

focused on gas$-$phase catalyzed hydrogenation of $o-$cresol to $2-$methylcyclo$-$

hexanone, which is then hydrogenated to $2-$methylcyclohexanol. In this prob$-$

lem we focus on only the first step in the reaction $($Figure P$4-22).$ The

reaction on a nickel$-$silica catalyst was found to be zero$-$order in o$-$cresol and

first$-$order in hydrogen with a specific reaction rate at $170C$ of $1\mathrm{.}74$mol of

$o-$cresol $\frac{?}{(kgcat*min*atm)}.$ The reaction mixture enters the packed$-$bed reac$-$

tor at a total pressure of $5$atm. The molar feed consists of $67\%H_2$ and $33\%$

$o-$cresol at a total molar rate of $40mo\frac{l}{m}in.$

$($a$)$ Neglecting pressure drop, plot the rate of reaction of $o-$cresol and the

concentrations of each species as a function of catalyst weight. What is

the ratio of catalyst weight needed to achieve the last $5\%$ conversion to

the weight necessary to achieve the first $5\%$ conversion $(0$ to $5\%)$ in the

plug$-$flow reactor?

$($b$)$ Accounting for the pressure drop in the packed bed using a value of

$=0\mathrm{.}034k{g}^{-1},$ redo part $($a$)$ along with a plot of pressure versus cata$-$

lyst weight.