Consider the below elementary reaction:

$2AB+C$

The rate law for this reaction is:

$-r_A=k{C}_A^2$

where $k=1\mathrm{.}5\frac{mL}{\text{m}\text{o}\text{l}*min}.$ Say we are designing a reactor to give $95\%$ conversion with an inlet total

volumetric flow rate of $Q=100\frac{mL}{mi}$ with an initial concentration of $0\mathrm{.}5\frac{\text{m}\text{o}\text{l}}{mL}.$ Please provide the

following:

a$)$ The volume of a CSTR required to perform this process $($please start with a sketch of the

labelled system$)$

b$)$ The volume of a PFR required to perform this process $($please start with a sketch of the

labelled system$)$

c$)$ Which reactor type requires more volume? Which reactor type is more efficient in terms

of volume?