The gas$-$phase reaction $AB+C$ is carried out in a PFR reactor of $V=800L.$ The reaction is first$-$order with respect to component $A,$ with:

$k=60$exp$(-\frac{5000}{T})(s^{-1})$

There is a heat exchange jacket, with the following parameters:

$4\frac{U}{D}=0\mathrm{.}0678\frac{J}{s.K}$

$Tc=323K$

The reactor feed is composed of pure component A$,$ at a pressure of $15$ bar and a temperature of $450K,$ with a volumetric flow rate of $1\mathrm{.}956\frac{l}{s}.$

Based on these data, plot graphs for the concentrations of components A$,$ B and $C$ and the reactor temperature vs$.$ volume.

Data:

$,=-12K\frac{J}{m}ol$

Heat capacities: Cpa$=40\frac{J}{m}$olK;$CpB=15\frac{J}{m}$olK;$Cpc=25\frac{J}{m}$olK