Grade 12 Chemistry · The Kw family
One water constant, two acids' worth of consequence
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One water constant, two acids' worth of consequence

A weak acid HA does not fully ionize, and how far it gets is measured by its acid dissociation constant KaK_a — a pure number, bigger for a stronger acid. Its conjugate base A\mathrm{A^-} is what is left once the proton has gone, and its own strength as a base is KbK_b, also a pure number. Those two are not independent. For a conjugate pair — and only for a pairKaKb=KwK_a K_b = K_w, read aloud K-a times K-b equals K-w, with Kw=1.0×1014K_w = 1.0 \times 10^{-14} at 25 °C. A fixed product means a see-saw: the stronger the acid, the feebler the base it leaves behind.

Both constants sprawl across twenty orders of magnitude, so the p operator gets the same job it did on concentrations: pKa=logKa\mathrm{p}K_a = -\log K_a and pKb=logKb\mathrm{p}K_b = -\log K_b. Take −log of the product relation and it becomes a sum, pKa+pKb=14\mathrm{p}K_a + \mathrm{p}K_b = 14. Read the p-scale carefully, because it runs BACKWARDS: a lower pKa is a larger Ka is a stronger acid. Acetic acid's 4.76 beats hypochlorous acid's 7.54 by a factor of six hundred, and the smaller number is the winner.