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Langmuir Adsorption Isotherm Fractional Coverage Calculator

θ = K · P / (1 + K · P) — surface coverage for monolayer adsorption.

Compute the fractional surface coverage θ of an adsorbate on a uniform surface as a function of partial pressure P and the Langmuir adsorption equilibrium constant K (or K·c for solution-phase): θ = K·P / (1 + K·P). Also reports the surface concentration q = q_max · θ if a maximum monolayer capacity q_max is supplied.

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

Inputs

atm
atm⁻¹
mg/g

Results

Enter values and click Calculate to see 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

θ = K·P / (1 + K·P); q = q_max · θ.

In depth

Compute the fractional surface coverage θ of an adsorbate on a uniform surface as a function of partial pressure P and the Langmuir adsorption equilibrium constant K (or K·c for solution-phase): θ = K·P / (1 + K·P). Also reports the surface concentration q = q_max · θ if a maximum monolayer capacity q_max is supplied.