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Henderson-Hasselbalch Buffer pH Calculator

The Henderson-Hasselbalch Buffer pH Calculator evaluates the pH of aqueous buffer solutions based on weak acid and conjugate base concentrations.

Negative logarithm of the acid dissociation constant (e.g., acetic acid = 4.76, Tris = 8.06).

Molar concentration of the conjugate base species (e.g., sodium acetate).

Molar concentration of the undissociated weak acid species (e.g., acetic acid).

Calculated Result
4.76pH

Buffer pH

pKa

4.76

[A-] / [HA] Ratio

1.000

Buffer Quality

Optimal Buffer Range

Total Buffer Concentration

0.200 M

Calculation Breakdown

  1. Base-to-Acid Ratio ([A-] / [HA])0.1 M / 0.1 M = 1.0000
  2. Logarithmic Term (log10([A-]/[HA]))log10(1.0000) = 0.0000
  3. Buffer pH Evaluation (pH = pKa + log10([A-]/[HA]))4.76 + (0.0000) = 4.76

Buffer pH vs Base-to-Acid Ratio [A⁻]/[HA]

Interactive visualization based on your current inputs

Calculated Value
0.01.42.94.35.80.1 (1:10)0.2 (1:5)0.5 (1:2)1.0 (1:1)2.0 (2:1)5.0 (5:1)10.0 (10:1)

What Is the Henderson-Hasselbalch Buffer pH Calculator?

The Henderson-Hasselbalch equation relates the pH of an aqueous solution to the dissociation constant pKa of a weak acid and the ratio of conjugate species.

Buffer solutions resist changes in hydronium ion concentration upon addition of small amounts of strong acid or base.

How Does the Henderson-Hasselbalch Buffer pH Calculator Work?

The ratio of conjugate base [A⁻] to weak acid [HA] is determined.

The base-10 logarithm log₁₀([A⁻]/[HA]) is calculated.

Adding this term to pKa yields the predicted equilibrium pH.

Henderson-Hasselbalch Buffer pH Calculator Formula & Variables

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

pH = pKa + log₁₀([A⁻] / [HA])

Buffer pH equals acid dissociation constant pKa plus the base-10 logarithm of conjugate base to weak acid concentration ratio.

How to Use the Henderson-Hasselbalch Buffer pH Calculator

  1. Enter the pKa of your buffering agent at the working temperature.
  2. Enter the molar concentrations of conjugate base and weak acid.
  3. Examine the resulting pH and buffer capacity quality indicator.

Step-by-Step Example Calculation

Equal acetate buffer (0.1 M / 0.1 M)

Input Values:

pKa:4.76
conjugateBaseM:0.1
weakAcidM:0.1
Worked Steps: When [A⁻] = [HA], log₁₀(1) = 0 and pH equals pKa (4.76), providing maximal buffer capacity.

Understanding Your Result

When base and acid are in equal concentration (1:1), solution pH equals pKa.

Effective buffering capacity is maintained when pH remains within pKa ± 1.0 unit.

Factors That Affect the Result

  • Temperature: pKa values of amine buffers like Tris shift noticeably with temperature.
  • Ionic Strength: High salt concentrations alter activity coefficients away from ideal molarity.

When Should You Use This Calculator?

  • Formulating biological buffers for cell culture, enzyme assays, and chromatography.
  • General and analytical chemistry titration calculations.

Assumptions & Limitations

  • Assumes dilute solutions where concentration approximates chemical activity.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Evaluates classic Henderson-Hasselbalch thermodynamic equilibrium.

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