In system A $($PFR followed by CSTR$),$ what is the conversion in the first PFR$?$

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In system A $($PFR followed by CSTR$),$ what is final$/$overall conversion? State which system will give the highest overall conversion?

System A $($PFR followed by CSTR$)$

System B $($CSTR followed by PFR$)$

System C $($parallel$)$You have $2$ reactors of equal volume $(V_1=V_2=5$ liters$)$ available for your use: one a CSTR and the other a PFR$.$

The reaction is irreversible, isothermal and follows second$-$order kinetics.

$AB$

${?}^{-r_A}=k{C}_A^2=k{C}_{A0}^2(1-x_A{)}^2$

The rate constant, $k=5M^{-1}{h}^{-1}.$

The initial reactant concentration, $A$ is $5mo\frac{l}{?}$ liter.

The volumetric flow rate is $30$ liters$/$h$.$

There are $3$ ways you can arrange the system:

$($a$)$ Reactors in series: PFR followed by CSTR

$($b$)$ Reactors in series: CSTR followed by PFR

$($c$)$ Reactors in parallel with half the feed rate going to each reactor after which the exit streams are mixed.