This problem pertains to Environmental engineering, specifically the unit reactions in reactors in module $2.$ Please show all work to help with understanding. Thanks so much for your help in advance! Problem $2(3$ points$)($category: reaction kinetics$)$: In $2007,$ some researchers $($Pich$$ and Larachi$)$

proposed the following reaction for the oxidation of polysulfide ions $,$ where $n$ can be any value

$2)$ to form thiosulfate ions $(S_2{O}_3^{2-})$ and colloidal sulfur $(S_8)$ :

$S_n^{2-}+\frac{3}{2}{O}_2{S}_2{O}_3^{2-}+\frac{n-2}{8}{S}_8$

For $n=6,$ write expressions for $r_{S_2{O}_3^{2-}}$ and $r_{S_8}$ in terms of $r_{S_n^{2-}}.$

We will assume all the rates have units of $\frac{\text{m}\text{o}\text{l}}{Lhr}.$