How does the acid dissociation constant relate to the strength of the acid?
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Well, acid constant is mathematically defined as the product of concentrations of conjugate base and Hydronium ions divided by acid concentration
Well, if the acid is strong then it'll dissociate more and thus it's acid constant will be more because there will be more concentration of the conjugate base , Hydronium than the original acid.
Similarly , it'll be likewise or vice versa for weak acids that their acid constant will be small meaning they have small ionization constant.
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