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Henderson-Hasselbalch Buffer Solution Calculator

Calculates buffer solution pH and required conjugate acid-base molar ratios using the Henderson-Hasselbalch equation, with presets for Phosphate, Acetate, TRIS, Carbonate, and HEPES buffers and buffering capacity (β) analysis.

Henderson-Hasselbalch Buffer Solution Calculator

Calculate buffer pH, conjugate acid-base molar ratio, and buffer capacity (β) against added strong acid or base

Buffer Presets:
Buffer Equilibrium pH
pH = 4.94
Ratio [A⁻]/[HA]: 1.500
Van Slyke Buffer Capacity (β):
0.1382
Optimal Buffering Range (pKa ± 1):
3.76 - 5.76
Total Buffer Concentration:
0.250 M

What is a Buffer Solution?

A chemical buffer is an aqueous solution consisting of a mixture of a weak acid and its conjugate base (or a weak base and its conjugate acid).

It resists drastic changes in pH upon the addition of small amounts of strong acid or base, making it critical for biochemical assays, cell cultures, and chemical syntheses.

Formula & Step-by-Step Calculation

pH = pK_a + \log_{10}\left(\frac{[A^-]}{[HA]}\right), \quad \beta = 2.303 \cdot C_{\text{total}} \cdot \frac{K_a [H^+]}{(K_a + [H^+])^2}

Henderson-Hasselbalch relation for weak acid buffer systems and Van Slyke buffer capacity formula.

Worked Step-by-Step Examples

Example 1

Calculate the pH of an acetate buffer with 0.15 M Acetate ([A⁻]) and 0.10 M Acetic Acid ([HA]), pKa = 4.76

Solution: pH = 4.94
• pH = 4.76 + log10(0.15 / 0.10) = 4.76 + log10(1.5) = 4.76 + 0.176 = 4.936 ≈ 4.94

Common Real-World & Academic Use Cases

  • ✓ Preparing biological buffers (PBS, TRIS-HCl, HEPES) at physiological pH 7.4
  • ✓ Formulating pharmaceutical injectable solutions
  • ✓ Enzymatic assay optimal pH stabilization
  • ✓ Analytical chromatography mobile phase preparation

How to Use the Henderson-Hasselbalch Buffer Solution Calculator

1

Select Buffer System or Preset

Choose Acetate (pKa 4.76), Phosphate (pKa 7.20), TRIS (pKa 8.06), Carbonate, or enter custom pKa.

2

Enter Concentrations or Target pH

Specify conjugate base [A⁻] and acid [HA] concentrations, or enter desired target pH to calculate required ratio.

3

Simulate Acid/Base Addition

Optionally test how adding strong HCl or NaOH shifts the buffer pH and inspect buffering capacity β.

Frequently Asked Questions

Q: What is the optimal pH buffering range of a buffer?

A buffer works most effectively within ±1 pH unit of its weak acid's pKa (pH = pKa ± 1). At pH = pKa, [A⁻] = [HA] and buffer capacity is at its theoretical maximum.

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