The irreversible, liquid phase reaction

$2A,B$

The above reaction takes place in an isothermal plug flow reactor. The feed consists of

equimolar amounts of A and $C.$ and the rate of formation of $B$ is expressed as follow

$r_B=k{C}_A^2$

Where, $k$ is in $vo\frac{l}{m}ol.$ Time. The equations of all three species are then

$u\frac{d{C}_A}{dz}=-2k{C}_A^2,u\frac{d{C}_B}{dz}=k{C}_A^2,u\frac{d{C}_C}{dz}=0$

Assume $u=0\mathrm{.}5\frac{m}{s},k=0.\frac{m^3}{k}$mols, and the total reactor length $z=2\mathrm{.}4m.$

By using an appropriate MATLAB code, plot the relation between the concentration of

reactants and product versus reactor length. Add Title for the graph, $x$ and $y$ labels, show the

legend, and add grid lines. provide code used In Matlab