Generalization of thermodynamic Langmuir isotherm for mixed-gas adsorption equilibria

Usman Hamid, Pradeep Vyawahare, Hla Tun, Chau Chyun Chen

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This work presents a comprehensive thermodynamic model for both pure component isotherms and mixed-gas adsorption equilibria. A generalization of thermodynamic Langmuir isotherm, the proposed model assumes competitive adsorption of multiple adsorbates on adsorbent surface for mixed-gas adsorption equilibria, and it applies an area-based adsorption nonrandom two-liquid activity coefficient model in the activity coefficient calculations for the adsorbate phase. The resulting generalized Langmuir isotherm properly captures both surface loading dependence and adsorbate phase composition dependence for mixed-gas adsorption equilibria. The model is validated with accurate representations of gas adsorption equilibrium data for varieties of unary, binary, and ternary gas systems. The model results are further compared with those calculated from extended Langmuir isotherm and Ideal Adsorbed Solution Theory.

Original languageEnglish
Article numbere17663
JournalAIChE Journal
Issue number6
StatePublished - Jun 2022


  • adsorption nonrandom two-liquid theory
  • extended Langmuir isotherm
  • generalized Langmuir isotherm
  • ideal adsorbed solution theory
  • mixed-gas adsorption equilibrium
  • thermodynamic Langmuir isotherm


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