A batch reactor when modeled in an unsteady state for a non$-$elementary reaction results in the following differential reaction:

$\frac{d{C}_A}{dt}=-2C_A^3+2C_A^2-20C_A+8\mathrm{.}5$

Where CA is the concentration of the reactant in the reactor at time $$t$.$ The initial concentration on the reactant CA$(0)=1$ mol$/$L$.$ Simulate the given reaction model by using the Euler$$s numerical method., till time t$=0\mathrm{.}5$ min to determine the reactant concentration. Consider a step size of h$=0\mathrm{.}1$ and show all the five iterations. Explain the effect of step size on the simulation performance.