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Comments on practical use of Langmuir gas adsorption isotherm model

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Abstract

The physical and thermodynamic characteristics of the Langmuir adsorption isotherm model for pure gas and gas mixtures as well as the constraints on the saturation adsorption capacity of the gases by this model are discussed. Arbitrary violation of these constraints, viz. temperature dependence of the saturation capacity and unequal saturation capacities for the components of a mixed gas, may lead to unrealistic heat of adsorption and unreliable predictions of mixed gas equilibria. Several physically and thermodynamically consistent analytical models for pure and mixed gas adsorption isotherms, which were developed using the Langmuir model as backbone, and which account for unequal -sized adsorbates, lateral interactions between adsorbed molecules, multi-layer adsorption, and adsorbent heterogeneity, are briefly reviewed. These models can be practically very useful to describe experimental isotherm data and for adsorptive process modeling.

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References

  • Avnir, D., Farin, D., Pfeifer, P.: A discussion of some aspects of surface fractality and of its determination. New J. Chem. 16, 439–449 (1992)

    CAS  Google Scholar 

  • Barg, C., Ferreira, J.M.P., Trierweiler, J.O., Secchi, A.R.: Simulation and optimization of an industrial PSA unit. Braz. J. Chem. Eng. 17, 695–704 (2000)

    Article  CAS  Google Scholar 

  • Caldwell, S.J., Al-Duri, B., Sun, N.N., Sun, C.G., Snape, C.E., Li, K.X., Woodt, J.: Carbon dioxide separation from nitrogen/hydrogen mixtures over activated carbon beads: adsorption isotherms and breakthrough studies. Energy Fuels 29, 3796–3807 (2015)

    Article  CAS  Google Scholar 

  • Casas, N., Schell, J., Pini, R., Mazzotti, M.: Fixed bed adsorption of CO-2/H2 mixtures on activated carbon: experiments and modeling. Adsorption 18, 143–161 (2012)

    Article  CAS  Google Scholar 

  • Fowler, R.H.: A statistical derivation of Langmuir’s adsorption isotherm. Math. Proc. Cambridge 31, 260–264 (1935)

    Article  CAS  Google Scholar 

  • Golden, T.C., Sircar, S.: Equilibrium and kinetics of adsorption of freon-12 at infinite dilution. AlChE J. 40, 935–943 (1994a)

    Article  CAS  Google Scholar 

  • Golden, T.C., Sircar, S.: Gas-adsorption on silicalite. J. Colloid Interface Sci. 162, 182–188 (1994b)

    Article  CAS  Google Scholar 

  • Gregg, S.J., Sing, K.S.W.: Adsorption, surface area, and porosity. Academic Press, London (1967)

    Google Scholar 

  • Hartzog, D.G., Sircar, S.: Sensitivity of PSA process performance to input variables. Adsorption 1, 133–151 (1995)

    Article  CAS  Google Scholar 

  • Hill, T.L.: An Introduction to Statistical Thermodynamics. Addison-Wesley, London (1960)

    Google Scholar 

  • Honig, J.M.: Adsorption theory from the view point of order-disorder theory. In: Flood, E.A. (ed.) The Gas-Solid Interface. Marcel Dekker, New York (1966)

    Google Scholar 

  • Hyun, S.H., Danner, R.P.: Equilibrium adsorption of ethane, ethylene, isobutane, carbon-dioxide, and their binary-mixtures on 13x molecular-sieves. J. Chem. Eng. Data 27, 196–200 (1982)

    Article  CAS  Google Scholar 

  • Jaroniec, M.: Evaluation of a fractal dimension from a single adsorption isotherm. Langmuir 11, 2316–2317 (1995)

    Article  CAS  Google Scholar 

  • Jaroniec, M., Toth, J.: Adsorption of gas-mixtures on heterogeneous solid-surfaces. 1. Extension of toth isotherm on adsorption from gas-mixtures. Colloid Polym. Sci. 254, 643–649 (1976)

    Article  CAS  Google Scholar 

  • Kumar, R., Sircar, S.: Skin resistance for adsorbate mass-transfer into extruded adsorbent pellets. Chem. Eng. Sci. 41, 2215–2223 (1986)

    Article  CAS  Google Scholar 

  • Langmuir, I.: The adsorption of gases on plane surfaces of glass, mica and platinum. J. Am. Chem. Soc. 40, 1361–1403 (1918)

    Article  CAS  Google Scholar 

  • Liu, Y.J., Ritter, J.A.: Periodic state heat effects in pressure swing adsorption solvent vapor recovery. Adsorption 4, 159 (1998)

    Article  CAS  Google Scholar 

  • Markham, E.C., Benton, A.F.: The adsorption of gas mixtures by silica. J. Am. Chem. Soc. 53, 497–507 (1931)

    Article  CAS  Google Scholar 

  • Martinez, G.M., Basmadjian, D.: Towards a general gas adsorption isotherm. Chem. Eng. Sci. 51, 1043–1054 (1996)

    Article  CAS  Google Scholar 

  • Myers, A.L., Prausnitz, J.M.: Thermodynamics of mixed-gas adsorption. AlChE J. 11, 121–127 (1965)

    Article  CAS  Google Scholar 

  • Nitta, T., Shigetomi, T., Kurooka, M., Katayama, T.: An adsorption-isotherm of multi-site occupancy model for homogeneous surface. J. Chem. Eng. Jpn. 17, 39–45 (1984)

    Article  CAS  Google Scholar 

  • Rao, M.B., Sircar, S.: Thermodynamic consistency for binary gas adsorption equilibria. Langmuir 15, 7258–7267 (1999)

    Article  CAS  Google Scholar 

  • Rege, S.U., Yang, R.T.: Limits for air separation by adsorption with LiX zeolite. Ind. Eng. Chem. Res. 36, 5358–5365 (1997)

    Article  CAS  Google Scholar 

  • Rouquerol, F., Rouquerol, J., Sing, K.: Adsorption by Powders and Porous Solids. Academic Press, London (1999)

    Google Scholar 

  • Ruthven, D.M.: Principles of Adsorption and Adsorption Processes. Wiley, New York (1984)

    Google Scholar 

  • Simo, M., Brown, C.J., Hlavacek, V.: Simulation of pressure swing adsorption in fuel ethanol production process. Comput. Chem. Eng. 32, 1635–1649 (2008)

    Article  CAS  Google Scholar 

  • Sircar, S., Myers, A.L.: Energy distributions for adsorption of gases on heterogeneous surfaces. AIChE symposium series, vol. 80, 233rd edn, pp. 55–61. Wiley, New York (1984)

    Google Scholar 

  • Sircar, S.: New isotherm for multilayer adsorption of vapours on non-porous adsorbents. Adsorpt. Sci. Technol. 2, 23–30 (1985)

    CAS  Google Scholar 

  • Sircar, S., Myers, A.L.: Equilibrium adsorption of gases and liquids on heterogeneous adsorbents—a practical viewpoint. Surf. Sci. 205, 353–386 (1988)

    Article  CAS  Google Scholar 

  • Sircar, S.: Isosteric heats of multicomponent gas-adsorption on heterogeneous adsorbents. Langmuir 7, 3065–3069 (1991a)

    Article  CAS  Google Scholar 

  • Sircar, S.: Role of adsorbent heterogeneity on mixed gas-adsorption. Ind. Eng. Chem. Res. 30, 1032–1039 (1991b)

    Article  CAS  Google Scholar 

  • Sircar, S.: Influence of adsorbate size and adsorbent heterogeneity on IAST. AlChE J. 41, 1135–1145 (1995)

    Article  CAS  Google Scholar 

  • Sircar, S.: Gibbsian surface excess for gas adsorption- Revisited. Ind. Eng. Chem. Res. 38, 3670–3682 (1999)

    Article  CAS  Google Scholar 

  • Sircar, S., Rao, M.B.: Effect of adsorbate size on adsorption of gas mixtures on homogeneous adsorbents. AlChE J. 45, 2657–2661 (1999)

    Article  CAS  Google Scholar 

  • Sircar, S., Mohr, R., Ristic, C., Rao, M.B.: Isosteric heat of adsorption: theory and experiment. J. Phys. Chem. B 103, 6539–6546 (1999)

    Article  CAS  Google Scholar 

  • Sircar, S., Myers, A.L.: Gas separation by zeolites. In: Aurbach, S.M., Carrado, K.A., Dutta, P.K. (eds.) Handbook of Zeolite Catalysts and Microporous Materials, pp. 1063–1105. Marcel Dekker, New York (2003)

    Google Scholar 

  • Toth, J.: Gas-(DAMPF-) adsorption an festen oberflächen inhomogener aktivität. I. Acta. Chim. Hung. 30, 415–430 (1962)

    Google Scholar 

  • Trapnell, B.M.W., Hayward, D.O.: Chemisorption. Butterworths, London (1964)

    Google Scholar 

  • Vemula, R.R., Kothare, M.V., Sircar, S.: Anatomy of a rapid pressure swing adsorption process performance. AlChE J. 61, 2008–2015 (2015)

    Article  CAS  Google Scholar 

  • Waldron, W.E., Sircar, S.: Parametric study of a pressure swing adsorption process. Adsorption 6, 179–188 (2000)

    Article  CAS  Google Scholar 

  • Wu, C.W., Kothare, M.V., Sircar, S.: Equilibrium adsorption isotherms of pure N2 and O2 and their binary mixtures on LiLSX zeolite: experimental data and thermodynamic analysis. Ind. Eng. Chem. Res. 53, 7195–7201 (2014a)

    Article  CAS  Google Scholar 

  • Wu, C.W., Kothare, M.V., Sircar, S.: Model analysis of equilibrium adsorption isotherms of pure N2, O2, and their binary mixtures on LiLSX zeolite. Ind. Eng. Chem. Res. 53, 12428–12434 (2014b)

    Article  CAS  Google Scholar 

  • Wu, C.W., Sircar, S.: Comments on binary and ternary gas adsorption selectivity. Sep. Purif. Technol. 170, 453–461 (2016)

    Article  CAS  Google Scholar 

  • Yang, R.T.: Gas Separation by Adsorption Processes. Butterworths, London (1987)

    Google Scholar 

  • Young, D.M., Crowell, A.D.: Physical Adsorption of Gases. Butterworths, London (1962)

    Google Scholar 

Download references

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Correspondence to Shivaji Sircar.

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Sircar, S. Comments on practical use of Langmuir gas adsorption isotherm model. Adsorption 23, 121–130 (2017). https://doi.org/10.1007/s10450-016-9839-0

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