Problem $2$

The reaction

$AB$

is carried out isothermally in a continuous flow reactor. Calculate the volume of both CSTR and

PFR to reduce the concentration of $A$ by $99\%(C_A=0\mathrm{.}01C_{A0}),$ when the entering molar flow rate

of $A$ is $5mo\frac{l}{h}$ and the entering volumetric flow rate $v_0=10d\frac{m^3}{h}$ for the following conditions

of reaction rate, $-r_A.$

a$)-r_A=k,$ with $k=0\mathrm{.}05mo\frac{l}{h}*d{m}^3$

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

c$)-r_A=k{C}_A^2,$ with $k=3d\frac{m^3}{m}ol.$h

Note, $F_A=C_{A}v=C_A{v}_0($For a constant volumetric flow rate, $v=v_0)$

Also, $C_{A0}=\frac{F_{A0}}{v_0}=\frac{5mo\frac{l}{h}}{10d\frac{m^3}{h}}=0\mathrm{.}5mo\frac{l}{d}{m}^3$

d$)$ Repeat parts $($a$),($b$)$ and $($c$)$ to calculate the time necessary to consume $99\mathrm{.}9\%$ of species $A$ in a

$1,000d{m}^3$ constant volume batch reactor, with $C_{A0}=0\mathrm{.}5mo\frac{l}{d}{m}^3.$