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QuestionChemistry

A buffer solution at pH 10 has a ratio of [HA]/[A-] of 10. What is the pKa of the acid? A. 8 B. 9 C. 10 D. 11 E. 12
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Answer

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Step 1:
Let's solve this step by step:

Step 2:
: Recall the Henderson-Hasselbalch equation

pH = pK_a + \log\frac{[A^{-}]}{[HA]}
The Henderson-Hasselbalch equation relates pH, pKa, and the ratio of conjugate acid and base concentrations:

Step 3:
: Rearrange the given information

We know: - pH = 10 - Ratio of [HA]/[A^{-}] = 10 - We want to find pKa

Step 4:
: Rearrange the Henderson-Hasselbalch equation

10 = pK_a + \log\frac{1}{10}
First, note that the ratio given is [HA]/[A^{-}], which is the inverse of the ratio in the equation.

Step 5:
: Solve for pKa

pK_a = 11
10 = pK_a - 1

Step 6:
: Verify the solution

- pH = 11 (pKa) - log(2$) = - 1 - [HA]/[A^{-}] = 10 ✓

Final Answer

The pKa of the acid is 11.