Question $4(5$ points$)$: A nonisothermal batch reactor can be described by the following equations

$\frac{dC}{dt}=-e^{(-\frac{10}{T+23})}C$

$\frac{dT}{dt}=1000e^{(-\frac{10}{T+23})}C-10(T-20)$

where $C$ is the concentration of the reactant and $T$ is the temperature of the reactor. Initially the reactor is at $15C$ and has a concentration of reactant $C$ of $1\mathrm{.}0$gmo$\frac{l}{L}.$ Find the concentration and temperature of the reactor using Third$-$order RK over the time range $t=0$ to $10$ using a step size of $2.$