The reaction $AB$ is to be carried out isothermally in an ideal CSTR$.$ The volumetric

flowrate is $10d{m}^3{h}^{-1},$ and the concentration of $A$ is $0\mathrm{.}5mold{m}^{-3}.$

$($a$)$ Calculate the reactor volume necessary to consume $99\%$ of A when the kinetic

rate expression is $r_A=k,$ where $k=0\mathrm{.}05mol{h}^{-1}d{m}^{-3}.$

$(3$ marks$)$

$($b$)$ For the same parameters specified in part $($a$),$ what volume of reactor would be

required if a PFR was used in place of a CSTR$?$

$(2$ marks$)$

$($c$)$ Calculate the reactor volume necessary to consume $99\%$ of A when the kinetic rate

expression is $r_A=k{C}_A^2,$ where $k=0\mathrm{.}05mo{l}^{-1}{h}^{-1}d{m}^3.$

$(1$ mark$)$

$($d$)$ For the same parameters specified in part $($c$),$ what volume of reactor would be

required if a PFR was used in place of a CSTR$?$

$(2$ marks$)$

$($e$)$ Compare and explain the relative reactor volumes obtained for the CSTR in: $($i$)$

parts $($a$)$ and $($b$)$; and $($ii$)$ parts $($c$)$ and $($d$).$