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Henderson-Hasselbalch Calculator

Henderson-Hasselbalch Calculator

Calculate pH, pKa, and concentrations using the Henderson-Hasselbalch equation for buffer solutions

Henderson-Hasselbalch Equation

M

Molar concentration of the conjugate base

M

Molar concentration of the weak acid

Negative logarithm of acid dissociation constant

Calculation Results

Example Calculation

Acetate Buffer Example

Buffer System: Acetic acid (CH₃COOH) / Acetate (CH₃COO⁻)

pKa of acetic acid: 4.76

Concentration of CH₃COOH: 0.1 M

Concentration of CH₃COO⁻: 0.15 M

Henderson-Hasselbalch Calculation

pH = pKa + log([A⁻]/[HA])

pH = 4.76 + log(0.15/0.1)

pH = 4.76 + log(1.5)

pH = 4.76 + 0.176

pH = 4.94

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Common Buffer Systems

Acetate Buffer

Formula: CH₃COOH/CH₃COO⁻

pKa: 4.76

Range: 3.8 - 5.8

Phosphate Buffer

Formula: H₂PO₄⁻/HPO₄²⁻

pKa: 7.21

Range: 6.2 - 8.2

Tris Buffer

Formula: Tris-H⁺/Tris

pKa: 8.06

Range: 7.1 - 9.1

HEPES Buffer

Formula: HEPES-H⁺/HEPES

pKa: 7.55

Range: 6.8 - 8.3

Bicarbonate Buffer

Formula: H₂CO₃/HCO₃⁻

pKa: 6.37

Range: 5.4 - 7.4

Imidazole Buffer

Formula: Im-H⁺/Im

pKa: 7

Range: 6.2 - 7.8

Henderson-Hasselbalch Tips

Best buffering occurs at pH = pKa

Effective range: pKa ± 1 pH unit

Equal concentrations give pH = pKa

Higher ratio [A⁻]/[HA] = higher pH

pKa = -log₁₀(Ka)

Understanding the Henderson-Hasselbalch Equation

What is the Henderson-Hasselbalch Equation?

The Henderson-Hasselbalch equation relates the pH of a buffer solution to the pKa of the weak acid and the ratio of concentrations of the conjugate base and weak acid. It's fundamental for understanding acid-base equilibria and buffer systems.

Applications

  • Buffer solution preparation
  • Physiological pH regulation (blood, etc.)
  • Protein and enzyme studies
  • Analytical chemistry and titrations

The Equation

pH = pKa + log([A⁻]/[HA])

  • pH: Negative logarithm of hydrogen ion concentration
  • pKa: Negative logarithm of acid dissociation constant
  • [A⁻]: Concentration of conjugate base
  • [HA]: Concentration of weak acid

Key Relationships

  • When [A⁻] = [HA]: pH = pKa
  • When [A⁻] > [HA]: pH > pKa (more basic)
  • When [A⁻] < [HA]: pH < pKa (more acidic)

Remember: The equation assumes ideal solutions and constant ionic strength. For precise work, activity coefficients may be needed.

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