In acid-base chemistry, what does pKa represent?

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Multiple Choice

In acid-base chemistry, what does pKa represent?

Explanation:
pKa is the pH where the acid is half dissociated. For an acid HA ⇌ H+ + A−, Ka = [H+][A−]/[HA], and pKa = −log Ka. When half of the acid has donated its proton, [HA] equals [A−], which makes [H+] equal to Ka, so the pH equals pKa. This also explains why pKa reflects acid strength: smaller pKa means the acid dissociates more in solution. The Henderson–Hasselbalch form, pH = pKa + log([A−]/[HA]), shows that when the two forms are in equal amounts, pH equals pKa. The other statements don’t describe pKa: fully dissociated is a different condition, pH of pure solvent isn’t pKa, and pKa is not the negative log of the base dissociation constant (that would be pKb).

pKa is the pH where the acid is half dissociated. For an acid HA ⇌ H+ + A−, Ka = [H+][A−]/[HA], and pKa = −log Ka. When half of the acid has donated its proton, [HA] equals [A−], which makes [H+] equal to Ka, so the pH equals pKa. This also explains why pKa reflects acid strength: smaller pKa means the acid dissociates more in solution. The Henderson–Hasselbalch form, pH = pKa + log([A−]/[HA]), shows that when the two forms are in equal amounts, pH equals pKa. The other statements don’t describe pKa: fully dissociated is a different condition, pH of pure solvent isn’t pKa, and pKa is not the negative log of the base dissociation constant (that would be pKb).

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