A first order liquid$-$phase decomposition reaction is carried out in a network of equal$-$volume

PFR and CSTR reactors in series. The reaction has the following stoichiometry

$AB+C$

The feed consists of pure A with a molar rate and a volumetric flow rates of $10mo\frac{l}{m}in,$

and $10\frac{L}{m}in$ respectively. The overall conversion of the process is $0\mathrm{.}96.$ The first reactor is

operated at $30C(k=0\mathrm{.}03mi{n}^1).$ The volumetric average consumption rate of $A(\frac{?}{\text{b}\text{a}\text{r}}(-r_A){)}_{PFR}$ in the

PFR is equal to the reaction rate in the CSTR$.$ The activaton energy is $50$ kJ$/$mol

Determine the following:

$1\mathrm{.}1.$ The total volume of the reactor network

$1\mathrm{.}2.$ The operational temperature of the second reactor.