In part 1 of this study, I reported that the Debye-Huckel limiting law and the smaller-ion shell (SiS) model of strong electrolyte solutions fit nicely with the experimental mean ionic activity coefficient (gamma(+/-)) of aqueous sulfuric acid as a function of concentration and of temperature when the acid is assumed to be a strong 1-3 electrolyte. Here, I report that the SiS-derived activity coefficient of H+, gamma(+)(H), of the 1-3 acid is comparable to that of aqueous HCl. This agrees with titration curves showing, as well-known, that sulfuric acid in water is parallel in strength to aqueous HCl. The calculated pH is in good accord with the Hammett acidity function, H-0, of aqueous sulfuric acid at low concentration, and differences between the two functions at high concentration are discussed and explained. This pH-H-0 relation is consistent with the literature showing that the H-0 of sulfuric acid (in the 1-9 M range) is similar to those of HCl and the other strong mineral monoprotic acids. The titration of aqueous sulfuric acid with NaOH does not agree with the known second dissociation constant of 0.010 23; rather, the constant is found to be similar to 0.32 and the acid behaves upon neutralization as a strong diprotic acid practically dissociating in one step. A plausible reaction pathway is offered to explain how the acid may transform, upon base neutralization, from a dissociated H4SO5 (as 3H(+) and HSO53-) to a dissociated H2SO4 even though the equilibrium constant of the reaction H+ + HSO53- <-> SO42- + H2O, at 25 degrees C, is 10(-37) (part 1).