$Co(I{O}_3{)}_2$ has a solubility product constant given by $Ksp=1\mathrm{.}21{10}^{-2}{M}^3.$ In this assignment, we will calculate the solubility of $Co(I{O}_3{)}_2,$ using the Newton$-$Raphson method, under several sets of conditions.

Write a python script that will use the NewtonRaphson method to

calculate the solubility of $Co(I{O}_3{)}_2$ in pure water.

calculate the solubility of $Co(I{O}_3{)}_2$ in $0\mathrm{.}100MCo(N{O}_3{)}_2$ solution.

calculate the solubility of $Co(I{O}_3{)}_2$ in $0\mathrm{.}100MNaI{O}_3$ solution.

Finally, Imagine a $100\mathrm{.}0ml$ sample of saturated $Co(I{O}_3{)}_2$ solution $($in pure water, and with some solid cobalt $($II$)$ iodate in the bottom$)$ to which $10\mathrm{.}0mL$ of $0\mathrm{.}100MNaI{O}_3$ is added. Calculate the concentrations of $C{o}^{2+}$ and $I{O}_3^{-}$when equilibrium is re$-$established.

Turn in your python script that will perform these calculations.