Problem $2(25/100)$: The reaction

$AB$

is carried out isothermally in a continuous flow reactor. Calculate the PFR reactor volume $($in $d{m}^3)$

necessary to consume $99\%$ of $A($i$.$e$.C_A=0\mathrm{.}01C_{A0})$ when the entering volumetric flow rate is $10$

$d\frac{m^3}{h},$ assuming the reaction rate is as follows:

$-r_A=k{C}_A$ with $k=0\mathrm{.}0001s^{-1}$