### Abstract

The types of critical phase diagrams for adsorbed binary mixtures that can be predicted by an equation of state (EOS) based on a two-dimensional lattice gas theory are investigated. The search for critical point conditions was done using the Hicks and Young algorithm, switching to the Heidemann and Khalil algorithm in the close of vicinity of a critical point. We observed that the model can predict critical points that represent the conditions in which a vapor-like and a liquid-like adsorbed phases collapse. The critical diagrams were classified using an analogy with the van Konynenburg and Scott scheme for classifying the critical behavior of binary bulk mixtures. The original classification scheme is based on the critical lines on the pressure-temperature plane; we used a straightforward extension based on the critical lines on the spreading pressure-temperature plane. Five of the six types of phase behavior classified by von Konynenburg and Scott were observed using this thermodynamic model. The transitions between the types of phase diagram were also observed in temperature-mole fraction projections. These results extend previous observations that suggested the possibility of very interesting phase behaviors for adsorbed mixtures. However, experimental data would be necessary to confirm the predicted types of critical diagrams.

Original language | English |
---|---|

Pages (from-to) | 2-10 |

Number of pages | 9 |

Journal | Fluid Phase Equilibria |

Volume | 244 |

Issue number | 1 |

DOIs | |

Publication status | Published - 5 Jun 2006 |

Externally published | Yes |

### Fingerprint

### Keywords

- Adsorption
- Critical points
- Equations of state
- Lattice models
- Phase diagrams

### ASJC Scopus subject areas

- Fluid Flow and Transfer Processes
- Physical and Theoretical Chemistry

### Cite this

*Fluid Phase Equilibria*,

*244*(1), 2-10. https://doi.org/10.1016/j.fluid.2006.03.010

**Critical points of adsorbed phases using a 2D lattice gas equation of state.** / Alfradique, Marcelo F.; Ndiaye, Papa M.; Castier, Marcelo.

Research output: Contribution to journal › Article

*Fluid Phase Equilibria*, vol. 244, no. 1, pp. 2-10. https://doi.org/10.1016/j.fluid.2006.03.010

}

TY - JOUR

T1 - Critical points of adsorbed phases using a 2D lattice gas equation of state

AU - Alfradique, Marcelo F.

AU - Ndiaye, Papa M.

AU - Castier, Marcelo

PY - 2006/6/5

Y1 - 2006/6/5

N2 - The types of critical phase diagrams for adsorbed binary mixtures that can be predicted by an equation of state (EOS) based on a two-dimensional lattice gas theory are investigated. The search for critical point conditions was done using the Hicks and Young algorithm, switching to the Heidemann and Khalil algorithm in the close of vicinity of a critical point. We observed that the model can predict critical points that represent the conditions in which a vapor-like and a liquid-like adsorbed phases collapse. The critical diagrams were classified using an analogy with the van Konynenburg and Scott scheme for classifying the critical behavior of binary bulk mixtures. The original classification scheme is based on the critical lines on the pressure-temperature plane; we used a straightforward extension based on the critical lines on the spreading pressure-temperature plane. Five of the six types of phase behavior classified by von Konynenburg and Scott were observed using this thermodynamic model. The transitions between the types of phase diagram were also observed in temperature-mole fraction projections. These results extend previous observations that suggested the possibility of very interesting phase behaviors for adsorbed mixtures. However, experimental data would be necessary to confirm the predicted types of critical diagrams.

AB - The types of critical phase diagrams for adsorbed binary mixtures that can be predicted by an equation of state (EOS) based on a two-dimensional lattice gas theory are investigated. The search for critical point conditions was done using the Hicks and Young algorithm, switching to the Heidemann and Khalil algorithm in the close of vicinity of a critical point. We observed that the model can predict critical points that represent the conditions in which a vapor-like and a liquid-like adsorbed phases collapse. The critical diagrams were classified using an analogy with the van Konynenburg and Scott scheme for classifying the critical behavior of binary bulk mixtures. The original classification scheme is based on the critical lines on the pressure-temperature plane; we used a straightforward extension based on the critical lines on the spreading pressure-temperature plane. Five of the six types of phase behavior classified by von Konynenburg and Scott were observed using this thermodynamic model. The transitions between the types of phase diagram were also observed in temperature-mole fraction projections. These results extend previous observations that suggested the possibility of very interesting phase behaviors for adsorbed mixtures. However, experimental data would be necessary to confirm the predicted types of critical diagrams.

KW - Adsorption

KW - Critical points

KW - Equations of state

KW - Lattice models

KW - Phase diagrams

UR - http://www.scopus.com/inward/record.url?scp=33646452918&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33646452918&partnerID=8YFLogxK

U2 - 10.1016/j.fluid.2006.03.010

DO - 10.1016/j.fluid.2006.03.010

M3 - Article

VL - 244

SP - 2

EP - 10

JO - Fluid Phase Equilibria

JF - Fluid Phase Equilibria

SN - 0378-3812

IS - 1

ER -