[U6+] = [UO22+] × [H+]4 × kbase / (KHOH)4.
(5)
In other words, we may substitute [U6+] and a constant factor KHOH4 / kbase for [UO22+] × [H+]4 in the first term (numerator) of the oxidation-reduction equation (3), derived from Luther's quantitative work. We thus obtain:
[U6+] / [U4+] = Kequil. × kbase / KHOH4 = K,
(6)
which must agree just as well with the quantitative data,[575] as does the original equilibrium equation (3). It follows, that we may write the chemical equation, for the action in acid solutions, simply U6+ ⇄ U4+, exactly as we have Fe3+ ⇄ Fe2+ (p. [269]). [U6+] cannot be measured, as yet, but in the analogous case of Fe3+ ⇄ Fe2+, where both terms of the equilibrium equation are accessible to direct measurement, the experimental evidence distinctly favors[576] the views expressed.[577]
Permanganic Acid, Chromic Acids, etc., as Oxidizing Agents.
If we bring permanganate, against potassium iodide, into the beakers of the chemometer (p. [253]), we find that it is a much more vigorous oxidizing agent than is arsenic acid, and again we find that the addition of acid (sulphuric) to the permanganate solution enormously increases the potential (exp.) and therefore its oxidizing power. The addition of an acid would, obviously, enormously increase the concentration of a positive septavalent ion, if permanganic acid is assumed to be, to a slight extent, base forming and therefore amphoteric:
H+ + MnO4− ⇄ (HO)MnO3
(HO)MnO3 + 3 HOH ⇄ Mn(OH)7 ⥃ Mn7+ + 7 OH−.