A reactor is fed initially with $100$ moles of reactant $B(V=10L).$ A at a concentration of $1M$

is slowly added to the reactor over a course of $12hr$ at $T=25oC.$ The following exothermic

reaction $($Standard heat of reaction is $-80k\frac{J}{m}ol)$ takes isothermally at $T=70C.$

$A+BkC,(r_C=k,C_A)$

Where, $k=0\mathrm{.}15h{r}^{-1}.$ Determine the following:

$1\mathrm{.}1.$ The concentration of A and product $C$ in the reactor as a function of time if $A$ is added at

a constant flow rate of $2\frac{L}{h}r.$

$1\mathrm{.}2.$ The concentration of A and product $C$ in the reactor as a function of time if $A$ is added

exponentially at a rate of $(0\mathrm{.}5e^{0\mathrm{.}2t}).$

$1\mathrm{.}3.$ The heat released from the reactor at the end of the run for both operational modes If $Cp$

is $50\frac{J}{m}o\frac{l}{K}.$