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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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