Borek
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mfb said:pH=15 should be possible in theory, too, right? Just based on the available number of water molecules...
I am not sure. In theory yes, but in practice even strong bases are way too weak, and they won't be dissociated 100%. Kb for NaOH is something like 0.6 (compare that with Ka for HCl in the 10-4 range).
This is quite convoluted, as pH is in general defined using H+ activity, not concentration, and in highly concentrated solutions activity coefficients take some unexpected values (initially they go below 1, but then they rise). So while there is no doubt it is possible to have solution with pH higher than 14, I have no idea whether it can get up to 15. I know solutions with pH around -1 were reported in the literature.