(25 points) Construct the pe-pH diagram for the following iron species:

Fe^(2+),Fe^(3+),Fe(OH)_(2)

,\ and

Fe(OH)_(3)

. In your graph, you are required to clearly indicate the zones for individual\ dominant species (by erasing the part of the lines that is thermodynamically not feasible).\ Consider water oxidation and reduction and derive the pe-pH equation for each individual\ line.\

pe^(O)Fe_(2+Fe3+)=13.03;pe^(0)Fe2(+)/(F)e(OH)_(3)=28;pe\\\\deg Fe(OH)(2)/(F)e(OH)_(3)=7.5\ log\\\\beta _(2,Fe2+,OH)=7.51;log\\\\beta _(3,Fe3+,OH)=27

\ Hint: You only need to consider the reactions that their equilibrium constants are given.