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Why is pKa of `F-CH_(2)COOH` lower than that of `Cl-CH_(2)COOH`?

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Why is pKa of `F-CH_(2)COOH` lower than that of `Cl-CH_(2)COOH`?
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Fluorine (-F) has a stronger -I effect as compared to chlorine (-Cl). Therefore, release of `H^(+)` ion from `prop`-fluoroacetic acid is easier than from `beta`-chloroacetic acid.
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