Below is the Levenspiel plot for an adiabatic reaction on a heterogenous catalyst:

$\frac{F_{A0}}{-r_A^{\text{'}}}(kg$ catalyst$)$

a$)$ What is the catalyst weight necessary to achieve $80\%$ conversion in a single

fluidized CSTR$?$

b$)$ What is the catalyst weight necessary to achieve $80\%$ conversion in a single

PBR$?$

c$)$ If you have a fluidized CSTR and a PBR$,$ how do you arrange them to use the

smallest amount of catalyst weight to achieve $80\%$ conversion of $A?$

d$)$ Plot the rate of reaction and conversion in a PBR as a function of catalyst weight

$W$ between $W=0$ and $25kg,$ when $F_{AO}=2mo\frac{l}{s}$

For part a$)-$ c$),$ please attach a Levenspiel plot that explains your answer.

Hint: to help you calculate area, the numeric fit of the Levenspiel plot is:

$\frac{F_{AO}}{-}{r}_A=184\mathrm{.}8x^2-180\mathrm{.}4x+59\mathrm{.}9$