Activity Coefficient Calculator

Calculate activity coefficients for ionic solutions using Debye-Hückel theory and ionic strength.

Enter Solution Data

Å

Common values: H⁺ (9), Na⁺ (4), K⁺ (3), Cl⁻ (3), OH⁻ (3.5)

Results

Enter solution data to calculate activity coefficient

Activity Coefficient Theory

Debye-Hückel Equation

log γ = -A z² √I / (1 + B å √I)

  • • γ = Activity coefficient
  • • A = Debye-Hückel constant
  • • z = Ion charge
  • • I = Ionic strength
  • • B = Constant
  • • å = Ion size parameter

Applications

  • • Electrochemistry
  • • Solubility calculations
  • • pH measurements
  • • Buffer solutions
  • • Ion exchange
  • • Colligative properties

Common Ion Size Parameters

Cations

  • • H⁺: 9.0 Å
  • • Li⁺: 6.0 Å
  • • Na⁺: 4.0 Å
  • • K⁺: 3.0 Å
  • • NH₄⁺: 2.5 Å
  • • Mg²⁺: 8.0 Å
  • • Ca²⁺: 6.0 Å

Anions

  • • F⁻: 3.5 Å
  • • Cl⁻: 3.0 Å
  • • Br⁻: 3.0 Å
  • • I⁻: 3.0 Å
  • • OH⁻: 3.5 Å
  • • NO₃⁻: 3.0 Å
  • • SO₄²⁻: 4.0 Å

Typical Values

  • • γ ≈ 1.0: Very dilute solutions
  • • γ ≈ 0.8: I = 0.01 M
  • • γ ≈ 0.6: I = 0.1 M
  • • γ ≈ 0.4: I = 0.5 M
  • • γ ≈ 0.2: I = 1.0 M