Write a MATLAB code for the following question. I DO NOT need a handwritten solution. If you can't do Matlab let someone else do it$,$ do not waste my question.

Q$9$: A nonisothermal batch reactor can be described by the following equations:

$\frac{dC}{dt}=-$exp$(\frac{-10}{T+273})C$

$\frac{dT}{dt}=1000$exp$(\frac{-10}{T+273})C-10(T-20)$

where $C$ is the concentration of the reactant and $T$ is the temperature of the reactor. Initially, the reactor is at $16C$ and has a concentration of reactant $C$ of $1\mathrm{.}0$gmo$\frac{l}{L}.$ Plot the concentration and temperature of the reactor as a function of time.

Mass Diffusion and Heat Conduction:

Both diffusion and conduction are described by similar forms of equation. Fick's Law for diffusion and the similarity of this to Fourier's Law for heat conduction is apparent.

Fick's Law

$J_A=-D\frac{d{C}_A}{dz}$

Fourier's Law

$q=-k\frac{dT}{dz}$

Where $J_A$ is the diffusion flux of component $A(mo\frac{l}{m^2}(s)),D$ is the diffusivity coefficient $(\frac{m^2}{s}),C_A$ is the concentration of component $A(kmo\frac{l}{m^3}),q$ is the heat transfer flux $(k\frac{J}{m^2}(s)),k$ is the thermal conductivity $(k\frac{J}{m}sK),T$ is the temperature $(K)$ and $z$ is the distance $(m).$