Modelling and thermodynamic properties of pure CO2 and flue gas sorption data on South African coals using Langmuir, Freundlich, Temkin, and extended Langmuir isotherm models

Abstract Carbon sequestration in unmineable coal seams has been proposed as one of the most attractive technologies to mitigate carbon dioxide (CO 2 ) emissions which CO is stored microporous structure matrix an adsorbed state. The adsorption process hence considered more effective methodologies environmental sciences. Thus, isotherm measurements and modelling are key important scientific measures required understanding system, mechanism, optimization coalbeds. In this paper, three renowned reliable models were employed including Langmuir, Freundlich, Temkin for pure data, extended-Langmuir model multicomponent, such flue gas mixture-adsorption data investigated research work. Also, significant thermodynamics properties standard enthalpy change ( $$\Delta H^\circ$$ ΔH∘ ), entropy S^\circ$$ xmlns:mml="http://www.w3.org/1998/Math/MathML">ΔS∘ Gibbs free energy G^\circ$$ xmlns:mml="http://www.w3.org/1998/Math/MathML">ΔG∘ assessed using van’t Hoff equation. statistical evaluation goodness-of-fit was done (3) analysis methods correlation coefficient R deviation σ error (SE). Langmuir accurately represent on coals than Freundlich Temkin. extended gives best experimental fit gas. thermodynamic evaluations revealed that South African feasible, spontaneous, exothermic; mechanism a combined physical chemical interaction between adsorbate adsorbent.