(a)
Fe → ${Fe}^{2 +} + \ {2e}^{-}$ (anode reaction)
$O_{2} + \ {2H}_{2}O$ + ${4e}^{-}\ \longrightarrow \ {4OH}^{-}$ (cathode reaction)
The overall reaction is
2Fe + $O_{2} + \ {2H}_{2}O$ → 2Fe($O{H)}_{2}$
Fe($O{H)}_{2}$ may be dehydrated to iron oxide FeO, or further oxidized to Fe($O{H)}_{3}$ and then dehydrated to iron rust, ${Fe}_{2}O_{3}.$