1. Fundamental Concepts
- Buffers resist pH changes upon addition of small amounts of strong acid or strong base. Dilution does not change pH significantly but reduces buffer capacity.
- Composed of a weak acid + its conjugate base or a weak base + its conjugate acid.
- Buffers work by neutralizing small amounts of added H⁺ or OH⁻ using the conjugate pair.
2. Key Concepts
- Buffers have a limited capacity; large amounts of strong acid/base destroy the buffer.
- Henderson–Hasselbalch equation:
$\mathrm{pH = p}K_a + \log\frac{[\text{conjugate base}]}{[\text{weak acid}]}$
- When [conjugate base] = [weak acid], pH = pKa (maximum buffer capacity).
- Effective buffer range: pKa ± 1.
3. Examples
Easy
Which mixture is a buffer?
A. HCl + NaCl
B. HC₂H₃O₂ + NaC₂H₃O₂
C. NaOH + NaCl
Explanation:
Buffers require a weak acid or weak base plus its conjugate salt.
- HCl and NaOH are strong, so A and C are not buffers.
- HC₂H₃O₂ is a weak acid; C₂H₃O₂⁻ (from NaC₂H₃O₂) is its conjugate base.
Answer: B
Medium
Calculate the pH of a buffer with 0.10 M CH₃COOH and 0.10 M CH₃COO⁻.
pKa(CH₃COOH) = 4.745.
Solution:
$\mathrm{pH = p}K_a + \log\frac{[\text{conj base}]}{[\text{weak acid}]} = 4.745 + \log\frac{0.10}{0.10} = 4.745$
Answer: pH = 4.745Hard
A buffer contains 0.20 M HF and 0.10 M F⁻.
Ka(HF) = 6.6×10⁻⁴.
After adding enough HCl to increase [H⁺] by 0.010 M (assuming negligible volume change)
Step-by-Step Explanation:
- Find pKa:
$\mathrm{p}K_a = -\log(6.6\times10^{-4}) \approx 3.18$
- Added H⁺ reacts with conjugate base F⁻:
- [F⁻] decreases by 0.010 M → 0.09 M
- [HF] increases by 0.010 M → 0.21 M
- Apply HH equation:
$\mathrm{pH} = 3.18 + \log\frac{0.09}{0.21} \approx 3.18 - 0.37 = 2.81$
Answer: pH ≈ 2.81
4. Problem-Solving Techniques
- Confirm the pair is weak acid/conj base or weak base/conj acid.
- Use the Henderson–Hasselbalch equation for pH calculations.
- When strong acid/base is added:
- H⁺ + conjugate base → weak acid
- OH⁻ + weak acid → conjugate base + H₂O
- Use moles or molarities for the ratio (volume cancels out).
- Check if pH stays within pKa ± 1 (valid buffer range).