I have water samples which have a pH of ~11. The manual for the titration method I used to measure the alkalinity states that over a pH of 8.3 there is no HCO3 present.
That's incorrect.
However other books have stated that there is HCO present over a pH of 8.3 and it is the dominant anion up until ~pH 10. Which is correct?
Ratio of acid and its conjugate base concentration is a function of pH and pKa and can be easily calculated just by rearranging dissociation constant:
[tex]K_a = \frac {[H^+][A^-]}{[HA]}[/tex]
changes to
[tex]\frac {[A^-]}{[HA]} = \frac {K_a}{[H^+]}[/tex]
or (with some further tricks):
[tex]\frac {[A^-]}{[HA]} = 10^{pH-pK_a}[/tex]
Carbonic acid has pKa2=10.3, so at pH=10.3 ratio of concentrations of HCO
3-/CO
32- is exactly 1.
Also how do I calculate the pH of a solution when I have the total, bicarbonate, carbonate and hydroxide alkalinities.
Technically just by knowing ratio of concentrations of carbonate and bicarbonate you can calculate pH plugging them into
Henderson-Hasselbalch equation (which is yet another rearranged form of the same dissociation constant). I have a gut feeling it should be possible to solve it this way - but I also have a gut feeling it is a waste of time, as pH of such a system depends on the presence of other substances. There is a reason why we sometimes prefer pH and sometimes alkalinity - they are not easily interchangeable.