A vinegar bottle has a hydroxide concentration of #5.0*10^-12# #M#. What is the hydronium concentration?
We know that water undergoes autoprotolysis, and that this reaction can be precisely quantified, i.e.
This is an equilibrium reaction, and under standard conditions,
....when we take
And thus we get the working relationship.....
So we gots an ACIDIC solution, where
I acknowledge that I have included a lot of background in this question. But if you can follow it, and use logarithms effectively, these sorts of questions become quite trivial. If there is an issue for clarification, please report it.