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Debye-Hückel Limiting-Law Activity Coefficient Calculator

log₁₀ γ = −A · z² · √I (A = 0.509 at 25 °C, water).

Compute the mean-ionic activity coefficient γ of a dilute aqueous electrolyte at 25 °C using the Debye-Hückel limiting law: log₁₀ γ = −A · z² · √I, with A = 0.509 (mol/kg)^(−1/2) for water at 25 °C, z the ionic charge, and I the ionic strength I = ½ Σ cᵢ zᵢ². Valid for I ≲ 0.01 mol/kg.

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

mol/kg

Results

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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

log₁₀ γ = −A · z² · √I (A = 0.509 for water at 25 °C).

In depth

Compute the mean-ionic activity coefficient γ of a dilute aqueous electrolyte at 25 °C using the Debye-Hückel limiting law: log₁₀ γ = −A · z² · √I, with A = 0.509 (mol/kg)^(−1/2) for water at 25 °C, z the ionic charge, and I the ionic strength I = ½ Σ cᵢ zᵢ². Valid for I ≲ 0.01 mol/kg.