A 1.50 L buffer solution is 0.250 M in HF and 0.250 M in NaF. Calculate the pH of the solution after the addition of 0.100 moles of solid NaOH. Assume no volume change upon the addition of base. The K, for HF is 3.5 x 10-4. 3.82 3.22 3.69 4.46 3.09

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Chapter1: Chemical Foundations
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**Problem Statement:**

A 1.50 L buffer solution is 0.250 M in HF and 0.250 M in NaF. Calculate the pH of the solution after the addition of 0.100 moles of solid NaOH. Assume no volume change upon the addition of base. The \(K_a\) for HF is \(3.5 \times 10^{-4}\).

**Multiple Choice Options:**

- ○ 3.82
- ○ 3.22
- ○ 3.69
- ○ 4.46
- ○ 3.09

**Explanation:**

This problem involves calculating the pH of a buffer solution after the addition of a strong base. The buffer consists of a weak acid (HF) and its conjugate base (NaF). The addition of NaOH introduces OH⁻ ions, which will react with HF, changing the concentrations of both HF and NaF. You can use the Henderson-Hasselbalch equation to find the new pH:

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

Where:
- \([\text{A}^-]\) is the concentration of the conjugate base (NaF).
- \([\text{HA}]\) is the concentration of the weak acid (HF).
- \(\text{pKa} = -\log(K_a)\).
Transcribed Image Text:**Problem Statement:** A 1.50 L buffer solution is 0.250 M in HF and 0.250 M in NaF. Calculate the pH of the solution after the addition of 0.100 moles of solid NaOH. Assume no volume change upon the addition of base. The \(K_a\) for HF is \(3.5 \times 10^{-4}\). **Multiple Choice Options:** - ○ 3.82 - ○ 3.22 - ○ 3.69 - ○ 4.46 - ○ 3.09 **Explanation:** This problem involves calculating the pH of a buffer solution after the addition of a strong base. The buffer consists of a weak acid (HF) and its conjugate base (NaF). The addition of NaOH introduces OH⁻ ions, which will react with HF, changing the concentrations of both HF and NaF. You can use the Henderson-Hasselbalch equation to find the new pH: \[ \text{pH} = \text{pKa} + \log \left(\frac{[\text{A}^-]}{[\text{HA}]}\right) \] Where: - \([\text{A}^-]\) is the concentration of the conjugate base (NaF). - \([\text{HA}]\) is the concentration of the weak acid (HF). - \(\text{pKa} = -\log(K_a)\).
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