Consider a batch reactor with an initial concentration of A $(0)$ of $2\mathrm{.}0$ mol$/$L$.$ The rate constant $($k$)$ for the

reaction is $0\mathrm{.}1$ s$1.$ You are required to model the concentration profile of $$ over a period of $10$ seconds using

the fourth$-$order Runge$-$Kutta method.