Let's see if we can over analyze this problem one more time.
Okay, my turn.
I didn't mean to come of as condescending by stating that I think you over analyzed the question. I even stated that I may have no clue what I'm talking about. But now you have sparked my interest and I want to make sure I understand this question. Don't take what I'm about to say as me telling you the correct way to do the problem, just my thought process of working through the problem(which may be wrong).
First off, HF is infinitely soluble in water, what I mean was it only partially ionizes. This is my bad. As you pointed out this is a neutralization reaction, so the HF will react with NaOH as you stated...
"
1. NaOH + HF= NaF + H2O"
You state that there are 3 possible outcomes, which is why I said you are over analyzing the problem. In a lab, you are right, but for a textbook test question you have to assume the reaction is stoichiometric...
"There are 3 possible outcomes of the titration.
a. the end point is at pH 7- The reaction is stoichiometric and the reaction products are NaF and H2O."
This is where I believe you may be wrong. The end point pH here is not 7, but is slightly basic. The reason for this is because NaF is a basic salt. As my old chem textbook states, "a salt of a strong base and a weak acid- the anion of the salt is the conjugate of the weak acid. It (F-) hydrolyzes to give a basic solution."
"The hydronium ions do not react with F- unless you are suggesting that the reaction is reversible. If it does,as you suggest, what happens to the OH- and Na+? Are they just spectator ions?"
Snap, your right. My bad yet again. BUT, the F- ions do react with water. I am suggesting this reaction occurs at the endpoint,
F- + H20 <-> HF + OH-
the Kb for this reaction is (1x10^-14 / the Ka for HF)
While on the other hand, Na+ does not hydrolyze
Na+ + H20 -> no reaction
So yes, Na+ is a spectator ion i guess? as it doesn't do anything after the endpoint.
I understand you being skeptical of my answer because my reasoning was way off. I also said quite a few incorrect things (solubility, the stupid titration definition rant, others). However, I am 99.9% sure that this final answer is correct, as I am staring at my textbook that explains this. None of your reasoning is incorrect, you just forgot about the conjugate acid/base salt detail. To solve these problems you do the neutralization reaction as it is irreversible, then go about finding the pH of the resulting salt as if the neutralization reaction never occured.
Example from my textbook: Calculate the pH of the solution at the equivalence point when 25 mL of .2 M nicotinic acid is titrated by .1 M NaOH. The Ka for nicotinic acid is 1.4 x 10^-5.
Solution: Assume the neutralization reaction is complete, so equal molar amounts of acid and base react, leaving the salt. Use basic stoichiometry to find the molar concentration of the nicotinate ion directly following the neutralization reaction, 0.05 M, Then find the pH of this solution, which is 8.78.
Really, thanks for calling me out on this one. I realize now I have to go back and check up on my gen chem.