Starting with rutile ( $\mathrm{TiO}_2$ ), explain how you would obtain pure titanium metal. (Hint: First convert $\mathrm{TiO}_2$ to $\mathrm{TiCl}_4$. Next, reduce $\mathrm{TiCl}_4$ with Mg . Look up physical properties of $\mathrm{TiCl}_4, \mathrm{Mg}$, and $\mathrm{MgCl}_2$ in a chemistry handbook.)