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Henderson-Hasselbalch Buffer Capacity & pH Calculator

Buffer solutions resist changes in pH when small quantities of acid or base are added.

pKa of weak acid (Acetic acid: 4.76, Formic acid: 3.75, Phosphate pKa2: 7.20).

Molar concentration of the un-dissociated weak acid.

Molar concentration of the conjugate base salt.

Calculated Result
4.76

Buffer Solution pH

Buffer Solution pH

4.76

Buffer Capacity (β)

0.1151 mol/(L·pH)

Total Buffer Concentration

0.200 M

Base/Acid Ratio

1.00:1

Calculation Breakdown

  1. Henderson-Hasselbalch Buffer EquationpH = 4.76 + log₁₀(0.1 / 0.1) = 4.760pH=pKa+log⁡10([A−][HA])\text{pH} = \text{p}K_a + \log_{10}\left(\frac{[\text{A}^-]}{[\text{HA}]}\right)
  2. Van Slyke Buffer Capacity Index (β)β = 2.303 × (0.1 × 0.1) / 0.200 = 0.1151 mol/(L·pH)β=2.303⋅[HA][A−][HA]+[A−]\beta = 2.303 \cdot \frac{[\text{HA}][\text{A}^-]}{[\text{HA}] + [\text{A}^-]}

Buffer Capacity β vs pH for 0.2M Acetate Buffer (pKa = 4.76)

Interactive visualization based on your current inputs

β
0.00.30.50.81.03.764.264.76 (pKa)5.265.76Solution pHBuffer Index β

What Is the Henderson-Hasselbalch Buffer Capacity & pH Calculator?

The Henderson-Hasselbalch equation describes the pH of buffer solutions in biological, chemical, and pharmaceutical systems.

How Does the Henderson-Hasselbalch Buffer Capacity & pH Calculator Work?

Added strong acid is neutralized by conjugate base [A⁻], while added strong base is neutralized by weak acid [HA], stabilizing hydronium equilibrium.

Henderson-Hasselbalch Buffer Capacity & pH Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

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

Buffer pH depends on pKa and base-to-acid ratio. Van Slyke buffer capacity β peaks at pH = pKa where [A-] = [HA].

How to Use the Henderson-Hasselbalch Buffer Capacity & pH Calculator

  1. Enter the weak acid pKa.
  2. Specify weak acid and conjugate base molar concentrations.

Step-by-Step Example Calculation

Acetic Acid Equimolar Buffer

Input Values:

pKa:4.76
acidConc:0.1
baseConc:0.1
Worked Steps: An acetate buffer with 0.1 M acetic acid and 0.1 M acetate has pH = 4.76 and a maximum buffer capacity β = 0.115 mol/(L·pH).

Understanding Your Result

Buffer Solution pH: Exact equilibrium pH value.

Buffer Capacity (β): Moles of strong acid/base required to shift 1 liter of solution by 1 pH unit.

Factors That Affect the Result

  • Total buffer concentration and acid-base equimolar symmetry.

When Should You Use This Calculator?

  • Cell culture media preparation, enzyme kinetics assays, and blood physiological pH modeling.

Assumptions & Limitations

  • Valid when autoionization of water is negligible compared to buffer concentrations.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard Van Slyke analytical buffer formulation.

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