Skip to main content

Advertisement

SpringerLink
Log in

On the use of single, dual and three process langmuir models for binary gas mixtures that exhibit unique combinations of these processes

  • Published:
Adsorption Aims and scope Submit manuscript

Abstract

Two scenarios were investigated for predicting binary gas adsorption equilibria when the single gas isotherms of one component is described by the three process Langmuir (TPL) model and the single gas isotherms of the other component is described by either the dual process Langmuir (DPL) or single process Langmuir (SPL) model. For the TPL–SPL and TPL–DPL models, 7 and 12 different correlations of energetic (free energy) site matching respectively exist. For these complex systems, perfect positive (PP) means the free energies of the sites of the two components align in some way from high to low, while perfect negative (PN) means they misalign in some way with high free energy sites for one component aligning with low free energy sites for the other component. Other variations of PP and PN exist where the free energies correlate in some way with the free energy of the site of one of the components distributed among two or more sites of the other component, and uncorrelated exit where the free energies do not correlate but possibly still have some site distribution. A consistent set of single and binary isotherms for CO2 and N2 on 13X zeolite were used to explore all 19 correlations. CO2 fitted well only to the TPL single gas model and N2 fitted equally well to either the DPL or SPL single gas model. Only 3 of the 12 cases for the TPL–DPL model and 2 of the 7 cases for the TPL–SPL model exhibited reasonable predictions of the experimental results; the remaining 14 cases failed. The predictions for CO2 for both models were very good for all 19 cases; but, some of the predictions for N2 were so overpredicted, they were not even close to reality. The simpler site matching correlations fared better than the more complex ones, such as those with the sites of N2 distributed over two or more sites of CO2. For this CO2–N2-13X binary system, PP site matching correlations provided the best predictions, with the high and low free energy sites of N2 decidedly interacting with the high and medium free energy sites of CO2 with the low free energy site of CO2 unoccupied by N2.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

Abbreviations

A:

Component A

b i :

Affinity parameter of component i (= A or B), kPa−1

β i :

Parameter defined in Eq. 13

b j,i :

Affinity parameter of component i (= A or B) on Site j (= 1 or 2), kPa−1

b o,i,j :

Pre-exponential factor of component i (A or B) on Site j (= 1 or 2), kPa−1

B:

Component B

E j,i :

Adsorption energy of component i (= A or B) on Site j (= 1 or 2), kJ mol−1

n m :

Total amount adsorbed from gas mixture, mol kg−1

n i :

Amount adsorbed of component i (= A or B) from single gas, mol kg−1

n i,m :

Amount adsorbed of component i (= A or B) from gas mixture, mol kg−1

n s j,i :

Saturation capacity of component i (= A or B) on Site j (= 1 or 2), mol kg−1

n s i :

Saturation capacity of component i (= A or B), mol kg−1

N :

Number of data points

P :

Absolute pressure, kPa

R :

Universal gas constant, kJ mol−1 K−1

T :

Absolute temperature, K

x i :

Adsorbed phase mole fraction of component i (= A or B)

y i :

Gas phase mole fraction of component i (= A or B)

z e :

Experimental quantity in Eq. 23

z p :

Predicted quantity in Eq. 23

References

  1. Cerofolini, G.F., Rudzinski, W.: Theorectical principles of single- and mixed-gas adsorption equilibria on heterogeneous solid surfaces. Stud. Surf. Sci. Catal. 104, 1–103 (1997)

    Article  CAS  Google Scholar 

  2. Hefti, M., Marx, D., Joss, L., Mazzotti, M.: Adsorption equilibrium of binary mixtures of carbon dioxide and nitrogen on zeolites ZSM-5 and 13X. Microporous Mesoporous Mater. 215, 215–228 (2015)

    Article  CAS  Google Scholar 

  3. 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 

  4. Mohammadi, N., Adegunju, S.A., Erden, L., Rahman, A., Ebner, A.D., Ritter, J.A.: Adsorption equilibrium of nitrogen, oxygen, argon, carbon dioxide, carbon monoxide, methane, ethane, propane, ethylene and propylene on 13X zeolite. Unpublished Results, USC (2020)

    Google Scholar 

  5. Moon, H., Tien, C.: Adsorption of gas mixtures on adsorbents with heterogeneous surfaces. Chem. Eng. Sci. 43, 2967–2908 (1988)

    Article  CAS  Google Scholar 

  6. Myers, A.L.: Activity coefficients of mixtures adsorbed on heterogeneous surfaces. AIChE J. 29, 691–693 (1983)

    Article  CAS  Google Scholar 

  7. Ritter, J.A., Bhadra, S.J., Ebner, A.D.: On the use of the dual process Langmuir model for correlating unary and predicitng mixed gas adsorption equilibria. Langmuir 27, 4700–4712 (2011)

    Article  CAS  Google Scholar 

  8. Ritter, J.A., Bumiller, K.C., Tynan, K.J., Ebner, A.D.: On the use of the dual process Langmuir model for binary gas mixture components that exhibit single process or linear isotherms. Adsorption 25, 1511–1523 (2019)

    Article  CAS  Google Scholar 

  9. Talu, O., Li, J., Kumar, R., Mathias, P.M., Moyer, J.D., Jr., Schork, J.M.: Measurement and correlation of oxygen/nitrogen/5A-zeolite adsorption equilibria for air separation. Gas Sep. Purif. 10, 149–159 (1996)

    Article  CAS  Google Scholar 

  10. Valenzuela, D.P., Myers, A.L., Talu, O., Zwiebel, I.: Adsorption of gas mixtures: effect of energetic heterogeneity. AIChE J. 34, 397–402 (1988)

    Article  CAS  Google Scholar 

  11. Yang, R.T.: Adsorbents: Fundamentals and Applications. Wiley, Hoboken (2003)

    Book  Google Scholar 

Download references

Funding

This material is based upon work supported by the Department of Energy’s Office of Energy Efficient and Renewable Energy’s Advanced Manufacturing Office under Award Number DE-EE0007888-08-4. The authors also gratefully acknowledge continued financial support provided over many years by both the NASA Marshall Space Flight Center and the Separations Research Program at UT-Austin.

Author information

Authors and Affiliations

  1. Department of Chemical Engineering, University of South Carolina, Columbia, SC, 29208, USA

    Kyle J. Tynan, Sofia Tosso, Armin D. Ebner & James A. Ritter

Authors
  1. Kyle J. Tynan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Sofia Tosso
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Armin D. Ebner
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. James A. Ritter
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to James A. Ritter.

Ethics declarations

Conflict of interest

The authors declare they have no conflicts of interest.

Additional information

Dedication

This work is dedicated to the life, friendship and genius of Dr. Shivaji Sircar. As one of the tireless giants in the adsorption arena, he contributed to and changed our thoughts and understanding in so many ways with so many seminal contributions spanning thermodynamics, kinetics and especially cyclic adsorption processes. He is surely being missed by all of his family, friends and colleagues. RIP, Dr. Sircar.

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary Information

Below is the link to the electronic supplementary material.

Supplementary file1 (DOCX 1057 KB)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Tynan, K.J., Tosso, S., Ebner, A.D. et al. On the use of single, dual and three process langmuir models for binary gas mixtures that exhibit unique combinations of these processes. Adsorption 27, 637–658 (2021). https://doi.org/10.1007/s10450-021-00312-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10450-021-00312-0

Keywords

Search

Navigation