$(50$ points$)$ A batch reactor is being used to destory chemcial A with a initial conentration of

$100m\frac{g}{L}.$ The reaction can be characterized by second order $(r=-k{C}^2),$ with a rate constant

of $0\mathrm{.}0006\frac{L}{m}g-$min. Please apply the Euler's emthod, using a spreadsheet to calculate the

concentration of chemical A after $1$ hours, using three time steps: $2$min,$1$min and also $0\mathrm{.}5$

min. Please compare the results and briefly explain why the results are different $($or the same$).$