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Multiple Choice
A 1.00 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 100.0 mL of 1.00 M HCl. The Ka for HF is 3.5 × 10⁻⁴.
A
2.92
B
3.46
C
3.74
D
3.14
Verified step by step guidance
1
Identify the components of the buffer solution: HF (weak acid) and NaF (its conjugate base). The initial concentrations are both 0.250 M in a 1.00 L solution.
Calculate the moles of HF and NaF initially present in the buffer. Since the volume is 1.00 L, the moles of each are: \( \text{moles of HF} = 0.250 \text{ M} \times 1.00 \text{ L} = 0.250 \text{ moles} \) and \( \text{moles of NaF} = 0.250 \text{ M} \times 1.00 \text{ L} = 0.250 \text{ moles} \).
Determine the moles of HCl added: \( \text{moles of HCl} = 1.00 \text{ M} \times 0.100 \text{ L} = 0.100 \text{ moles} \). HCl is a strong acid and will react completely with the NaF (conjugate base).
Calculate the new moles of HF and NaF after the reaction with HCl. The reaction is: \( \text{F}^- + \text{HCl} \rightarrow \text{HF} + \text{Cl}^- \). Subtract the moles of HCl from NaF and add to HF: \( \text{moles of NaF} = 0.250 - 0.100 = 0.150 \text{ moles} \) and \( \text{moles of HF} = 0.250 + 0.100 = 0.350 \text{ moles} \).
Use the Henderson-Hasselbalch equation to find the pH: \( \text{pH} = \text{pKa} + \log \left( \frac{[\text{A}^-]}{[\text{HA}]} \right) \). Calculate \( \text{pKa} = -\log(3.5 \times 10^{-4}) \) and substitute the concentrations \( [\text{A}^-] = \frac{0.150}{1.10} \) and \( [\text{HA}] = \frac{0.350}{1.10} \) into the equation to find the pH.