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I find in various texts that several assumptions are made in dealing with this class of equilibria problems (ignore water's autoionization, conversion of the weak acid is on the order of the conversion of the weak base, etc), and a more rigorous analysis is dismissed as unnecessary (4th order polynomials scare the authors of my chemistry texts ). Perhaps the dismissal is warranted. But that just sparks my curiosity.

Would someone please be kind enough to provide a reference in which this problem is dealt with rigorously, without approximations?

Thanks!