In the beaker
The textbook formula versus the exact answer
Pure water: pH = 7
The textbook gives no rule for this, but here it is right.
Solubility and precipitation
Titration
There is no pH jump over this range: the titration would have no visible end point (try a larger volume or another titrant).
And before the solution? The atom, the periodic table and the orbitals,in Atoms.