Ok let me rephrase the q.
For the titration of H2SO4 with Ba(OH)2. why would equivalence point be 7 if H2SO4 dissociates to HSO4(-1), which is a weak acid?
If equivalence is at 7, why would the precipitate be BaSO4 (obvious, I know) and not Ba(HSO4)2 since HSO4(-1) is a weak acid and would hardly dissociate?
Is knowing the pH at the second equivalence point necessary to answer the question? It's an interesting question you pose, but it's a curiosity that is unnecessary on question #16. The question asks for the identity of the precipitate when the current through the solution is 0 amps. The only way to get a current of 0 is to have no ions in solution to allow it to conduct. This means that Ba(OH)
2 and H
2SO
4 must have completely reacted to form water an a precipitate of some sort. Because the precipitate is a crystallized salt, it must be neutral, so the only two choices that are physically possible are BaSO
4 and Ba(HSO
4)
2. This question has more to do with solubility at this point than acid-base or electrical flow. Ba(HSO
4)
2 is going to be more soluble than BaSO
4 because (+2) w/ (-2) is a stronger attraction than (+2) w/ (-1). That is supported in part because a salt of Ba(HSO
4)
2 would likely dissociate to generate a weakly acidic solution, and that would in turn allow the current to conduct. Only by adding more OH- would you be able to get rid of the hydronium ion in solution, which would increase the number of Ba2+ in solution until all of the hydronium from sulfuric acid was consumed. At that point, the moles Ba2+= moles SO
42-, so the salt would completely crash out of solution based on the magnitude of K
sp.
To answer your question about the pH, I'm going to piggyback on a few previous posts. What is unique here is the impact of solubility on the equilibrium. Because Ba2+ completely precipitates with the SO
42-, there is no equilibrium in solution involving HSO
4- to worry about, so there are no ions in solution (hydronium, hydroxide, or other). Think about it this way. If you took a piece of granite and added it to distilled water, would the pH go up or down? The fact is that the rock wouldn't do anything (it's insoluble) and the pH would remain at 7. BaSO
4 is a rock in distilled water when the current is 0.