The following parts $($a$)$ and $($b$)$ are independent of each other

$($a$)(20$ marks$)$ You have a $100$L CSTR and a $100$L PFR available for a process

i$.$ If the reaction is first order, which type of reactor would lead to the highest conversion?

Explain why.

ii$.$ Would the conversion calculated for the CSTR or PFR in $($a$)$ differ if you used the

segregated flow model and the corresponding RTD for either back$-$mixed flow or plug

flow? Explain why or why not.

iii. Both reactors are to be used for a $2^{nd}$ order reaction. How should the two reactors be

configured to maximize conversion, and why?

$($b$)(10$ marks$)$

What operating condition$($s$)$ would you choose to maximize the reaction rate and

minimize the catalyst requirement for an endothermic reversible reaction that takes

place in a fixed bed catalytic reactor?

How is the maximum operating temperature determined?