A second$-$order irreversible liquid$-$phase reaction A$+2$B$->$C with a stoichiometric feed of A and B is carried out in a jacketed CSTR$.$ Molar flow rate of A is $2$ mol$/$s$.$ Constant heat capacities are $15,6$ and $27$ J$/($mol K$)$ for A$,$ B and C$,$ respectively. The temperature in the jacket is $280$ K$.$ Typically the CSTR operated at the steady state S$1$ shown below. You can use the graph to plot necessary curves.

$***$Be careful, the graph uses G and R instead of qG and qR$.$ These values are normalized according to NAf $($e$.$g$.$ G$=$qG$/$NAf$).$ The units are thus slightly different.

a$)$ Find the heat of the reaction.

b$)$ Find the UA term.

c$)$ Assume there was an uncontrolled increase of the feed temperature and the reaction ran away $($ignited$).$

What should be the temperature of the feed so that the system returns to a desirable locus of conversions?

d$)$ Assuming that the reactor operates adiabatically at the feed temperature found in $($c$).$ Write down the equation of the adiabatic operating line with all values entered