The elementary liquid$-$phase reaction $A+BC,$ with $k=0\mathrm{.}025\frac{L}{m}ol-$min, is to be carried out in a CSTR with two impellers. The mixing patterns in the CSTR are such that it is modeled as two equal$-$sized CSTRs in series.

Species A and B are fed in separate lines to the CSTR$.$ Each CSTR is $200L$ and the volumetric flow to the first reactor is $10\frac{L}{m}in$ of $A(2\mathrm{.}0$mol$\frac{A}{L})$ and $10\frac{L}{m}in$ of mol$\frac{B}{L}.$

a$)$ What is the conversion of A exiting the first reactor?

b$)$ What is the conversion of A exiting the second reactor?

c$)$ What conversion would you expect if the reactor was well$-$mixed and could be modeled as a single $400$ L CSTR$?$