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    Select the correct option if pH=pKa in the Henderson-Hasselbalch equation.
    Question

    Select the correct option if pH=pKa in the Henderson-Hasselbalch equation.

    A.

    [HA]=[A-]​

    B.

    [HA]>[A-]

    C.

    [HA]<[A-]

    D.

    [HA]=log[A-]

    Correct option is A

    Correct Answer is (A) [HA] = [A⁻]

    Explanation:

    The Henderson-Hasselbalch equation is given by:

    pH=pKa+log([A][HA])\text{pH} = \text{pKa} + \log \left( \frac{[A^-]}{[HA]} \right)​​

    When pH = pKa, the equation simplifies to:

    log([A][HA])=0\log \left( \frac{[A^-]}{[HA]} \right) = 0​​

    Since log(1) = 0, this implies:

    [A][HA]=1\frac{[A^-]}{[HA]} = 1​​

    which means:

    [A]=[HA][A^-] = [HA]​​

    Thus, when pH = pKa, the concentrations of the acid ([HA]) and its conjugate base ([A⁻]) are equal.

    Information Booster:

    • The Henderson-Hasselbalch equation is used to calculate pH of buffer solutions.
    • When pH < pKa, the acidic form ([HA]) is dominant.
    • When pH > pKa, the basic form ([A⁻]) is dominant.
    • Buffers work best when pH ≈ pKa since both acid and conjugate base are present in nearly equal amounts.
    • Biological relevance: The equation is crucial in blood pH regulation (e.g., bicarbonate buffer system).

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