Buffers

Chemistry

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 = 4.745
 

Hard

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:
  1. Find pKa:

    $\mathrm{p}K_a = -\log(6.6\times10^{-4}) \approx 3.18$

  2. 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
     
  3. 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).