Buffer Solution Formula

Solutions that resist pH changes when small amounts of acid or base are added

Henderson-Hasselbalch Equation

pH = pKₐ + log([A⁻]/[HA])

For acidic buffers

pOH = pKբ + log([BH⁺]/[B])

For basic buffers

Buffer Components

Acidic Buffer

Weak acid + conjugate base (salt)

Example: CH₃COOH + CH₃COONa

Basic Buffer

Weak base + conjugate acid (salt)

Example: NH₃ + NH₄Cl

Buffer Capacity Formula

β = Δn(acid or base) / ΔpH

Higher capacity = better resistance to pH change

Examples

Example 1: Acetate Buffer pH

Given: 0.10 M CH₃COOH and 0.15 M CH₃COONa (pKₐ = 4.76)

Solution:

pH = pKₐ + log([A⁻]/[HA])

pH = 4.76 + log(0.15/0.10)

pH = 4.76 + log(1.5)

pH = 4.76 + 0.18

pH = 4.94

Example 2: Ammonia Buffer

Given: 0.20 M NH₃ and 0.20 M NH₄Cl (pKբ = 4.75)

Solution:

pOH = pKբ + log([BH⁺]/[B])

pOH = 4.75 + log(0.20/0.20)

pOH = 4.75 + 0 = 4.75

pH = 14 - 4.75

pH = 9.25

Buffer Effectiveness

✓ Best When [A⁻]/[HA] = 1

pH = pKₐ (maximum buffer capacity)

✓ Effective Range: pH = pKₐ ± 1

Ratio of [A⁻]/[HA] between 10:1 and 1:10

⚠️ Higher Concentrations = Higher Capacity

More concentrated buffers resist pH change better