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He said that any mechanism that delocalizes charge makes it more stable. This is due to the electron pulling ability of the delocalization mechanism, giving it a higher electronegativity. The higher electronegativity makes it a more stable anion.
Delocalizing the charge makes the molecule more stable. For instance, between HClO and HClO4, HClO4 would be the stronger acid since it has more oxygens to delocalize the charge. In terms of these molecules too, the greater number of oxygen atoms attached to the central atom makes the molecule a stronger acid because the oxidation number increases.
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