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What does the pKb (or $K_b$) of a strong acid mean?

For instance this link reports the Kb of HI, an extremely strong acid. Are they reporting the reaction constant of the reaction:

$HI + H_2O \implies H_2I^+ + OH^- $

Is the $K_b$ for the equation?

That reaction seems so bizarre; it seems like the products are so unstable and reactive.

john
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    No, it's $K_\mathrm{b}$ of the conjugate base. The table header tells you this, although I guess it could be a bit more explicit: "Values of Ka, pKa, Kb, and pKb for Selected Acids HA and Their Conjugate Bases (A−)". – orthocresol Mar 03 '21 at 21:38
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    https://chemistry.stackexchange.com/questions/24342/what-is-the-ka-of-oh-and-kb-of-h3o – Mithoron Mar 03 '21 at 22:06
  • Ah, I see. And the stronger the acid, the weaker the conjugate base. In this case, the conjugate base is $I^-$; however, it seems like it should have a good ability to accept a proton? Therefore, wouldn't it be a strong base? – john Mar 03 '21 at 23:52

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