In addition to the quip about the iodine-thiosulfate equivalency, it also states that " The number of moles elemental iodine is equivalent to half the moles of of manganese oxide hydroxide [ 2MnO ( OH ) 2 ] in the second and third equations . " ( Uh, not really . . . the stoichiometric coefficients are equal ! ) Then with some further reasoning ( about the moles of oxygen being equivalent to half the moles of the magnesium oxide hydroxide . . . finally something that looks correct ) it concludes that the equivalent weight of oxygen is one-fourth of that of elemental iodine or sodium thiosulfate . . . that number works out if you trash their reasoning and just find the equivalencies ( one-half equivalent iodine per sodium thiosulfate in the last eqn, one-to-one iodine-to-magnesium-oxide-hydroxide in the third eqn, and then the half-oxygen-to-1-magensium-oxide-hydroxide ) by our ways of reasoning.