(Solved): AB is to be carried out isothermally in a flow reactor. Calculate both the CSTR and PFR reactor ...

$A?B$ is to be carried out isothermally in a flow reactor. Calculate both the CSTR and PFR reactor volumes necessary to consume $80\%$ of $A(i.e.,C_A=0.2C_{A0}$ ) when the entering feed is pure $A$ at a flow rate of $20\mathrm{mol}/\mathrm{h}$, assuming the reaction rate $?r_A$ is: (a) $?r_A=k$ with $k=0.045\mathrm{mol}/h^{?}d{m}^3$ (b) $?r_A=k{C}_A$ with $k=0.0001s^{?1}$ (c) $?r_A=k{C}_A^2$ with $\mathrm{k}=3d{m}^3/mol?h$ The entering volumetric flow rate, $v_0$, is $15{\mathrm{dm}}^3/\mathrm{h}$. [Note: $F_A=C_{A}v$. For a constant volumetric flow rate $v=v_0$, then $F_A=C_A{v}_0$. Also, $C_{A0}=F_{A0}/v_0]$.