Problem $1(\frac{25}{100})$ : A product B is generated from a reactant A in a PFR with the inlet

volumetric flow rate of $v_0=4\frac{L}{m}in$ and inlet concentration of $C_{A0}=2mo\frac{l}{L}.$ Another reaction

is occurring as well, forming an undesired product $C,$ as follows $($both reactions are liquid phase$)$:

$AB,k_1=0\mathrm{.}5mi{n}^{-1}$

$AC,k_2=0\mathrm{.}1mi{n}^{-1}$

Assuming isothermal and isobaric operation, calculate the reactor volume $($in $L)$ necessary

to achieve $86\mathrm{.}5\%$ conversion.

What is the instantaneous yield of B and selectivity to B generation in this case?