Using Henderson–Hasselbalch, estimate the pH of a buffer solution containing 0.100 M acetic acid (HA) and 0.100 M sodium acetate (A−) with Ka = 1.8×10−5.

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Multiple Choice

Using Henderson–Hasselbalch, estimate the pH of a buffer solution containing 0.100 M acetic acid (HA) and 0.100 M sodium acetate (A−) with Ka = 1.8×10−5.

Explanation:
The pH of a buffer is given by Henderson–Hasselbalch: pH = pKa + log([A−]/[HA]). When the concentrations of the weak acid and its conjugate base are equal, the ratio [A−]/[HA] is 1, so the log term is zero and pH equals pKa. For acetic acid, pKa = -log10(Ka) = -log10(1.8×10−5) ≈ 4.74. Therefore, with equal amounts of HA and A−, the buffer’s pH is about 4.74. The proposed answer of around 7.00 would require a pH close to neutral, which would correspond to a pKa near 7 or a very different [A−]/[HA] ratio, not the equimolar case given. So the correct estimate is pH ≈ 4.74.

The pH of a buffer is given by Henderson–Hasselbalch: pH = pKa + log([A−]/[HA]). When the concentrations of the weak acid and its conjugate base are equal, the ratio [A−]/[HA] is 1, so the log term is zero and pH equals pKa. For acetic acid, pKa = -log10(Ka) = -log10(1.8×10−5) ≈ 4.74. Therefore, with equal amounts of HA and A−, the buffer’s pH is about 4.74. The proposed answer of around 7.00 would require a pH close to neutral, which would correspond to a pKa near 7 or a very different [A−]/[HA] ratio, not the equimolar case given. So the correct estimate is pH ≈ 4.74.

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