The Rachford-Rice equation: application to ternary diagram
Ternary phase diagrams in liquid-liquid equilibrium, for the water-ethanol-ethyl acetate system, were calculated and the results presented in rectangular and triangular diagrams. Initially, the thermodynamical background and the conditions of equilibrium are presented, involving the equality of acti...
| Main Authors: | , |
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| Format: | Article |
| Language: | Portuguese |
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Sociedade Brasileira de Física
2024-04-01
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| Series: | Revista Brasileira de Ensino de Física |
| Subjects: | |
| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172024000100422&lng=en&tlng=en |
| _version_ | 1827281191832649728 |
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| author | Éderson D’Martin Costa João Pedro Braga |
| author_facet | Éderson D’Martin Costa João Pedro Braga |
| author_sort | Éderson D’Martin Costa |
| collection | DOAJ |
| description | Ternary phase diagrams in liquid-liquid equilibrium, for the water-ethanol-ethyl acetate system, were calculated and the results presented in rectangular and triangular diagrams. Initially, the thermodynamical background and the conditions of equilibrium are presented, involving the equality of activities and the mass balance condition. From this system of equations, the Rachford-Rice equation is deduced, transforming the problem of eight equations into a problem of one equation with one unknown. The Non-Random-Two-Liquid model was adopted to calculate activity coefficients, but other models can be easily adapted. An algorithm is presented to calculate the equilibrium compositions of this ternary system, together with numerical results. The theoretical-experimental comparison is in fair agreement, showing the robustness and simplicity of the Rachford-Rice equations. The material presented here is accessible to undergraduate students. |
| first_indexed | 2024-04-24T08:56:04Z |
| format | Article |
| id | doaj.art-182b3d5b313d4e8b92c908163e4e62ca |
| institution | Directory Open Access Journal |
| issn | 1806-9126 |
| language | Portuguese |
| last_indexed | 2024-04-24T08:56:04Z |
| publishDate | 2024-04-01 |
| publisher | Sociedade Brasileira de Física |
| record_format | Article |
| series | Revista Brasileira de Ensino de Física |
| spelling | doaj.art-182b3d5b313d4e8b92c908163e4e62ca2024-04-16T07:41:15ZporSociedade Brasileira de FísicaRevista Brasileira de Ensino de Física1806-91262024-04-014610.1590/1806-9126-rbef-2024-0077The Rachford-Rice equation: application to ternary diagramÉderson D’Martin Costahttps://orcid.org/0000-0001-8623-4745João Pedro Bragahttps://orcid.org/0000-0002-2869-7079Ternary phase diagrams in liquid-liquid equilibrium, for the water-ethanol-ethyl acetate system, were calculated and the results presented in rectangular and triangular diagrams. Initially, the thermodynamical background and the conditions of equilibrium are presented, involving the equality of activities and the mass balance condition. From this system of equations, the Rachford-Rice equation is deduced, transforming the problem of eight equations into a problem of one equation with one unknown. The Non-Random-Two-Liquid model was adopted to calculate activity coefficients, but other models can be easily adapted. An algorithm is presented to calculate the equilibrium compositions of this ternary system, together with numerical results. The theoretical-experimental comparison is in fair agreement, showing the robustness and simplicity of the Rachford-Rice equations. The material presented here is accessible to undergraduate students.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172024000100422&lng=en&tlng=enRachford-Riceternary systemliquid-liquid equilibrium |
| spellingShingle | Éderson D’Martin Costa João Pedro Braga The Rachford-Rice equation: application to ternary diagram Revista Brasileira de Ensino de Física Rachford-Rice ternary system liquid-liquid equilibrium |
| title | The Rachford-Rice equation: application to ternary diagram |
| title_full | The Rachford-Rice equation: application to ternary diagram |
| title_fullStr | The Rachford-Rice equation: application to ternary diagram |
| title_full_unstemmed | The Rachford-Rice equation: application to ternary diagram |
| title_short | The Rachford-Rice equation: application to ternary diagram |
| title_sort | rachford rice equation application to ternary diagram |
| topic | Rachford-Rice ternary system liquid-liquid equilibrium |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172024000100422&lng=en&tlng=en |
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