{"id":{"repo_id":"mit","oai_identifier":"oai:dspace.mit.edu:1721.1/32804"},"canonical_url":"https://search.dev.ndltd.org/etd/mit/oai:dspace.mit.edu:1721.1/32804","repository":{"repo_id":"mit","name":"MIT","base_url":"https://dspace.mit.edu/oai/request"},"display":{"title":"Development of a three dimensional pressure-volume-temperature model for use in teaching environments","abstract":"Three phase equilibrium can be a difficult concept to comprehend, since it has geometric relationships in three dimensions. A teaching aid was developed to aid in explaining phase diagrams to student. The curve was made from transparent sheets of acrylic so the saturation curve could be projected onto the wall from the model. Virial Equations of State, Van der Waals Equation, Benedict-Webb-Rubin Equation, and Redlich-Kwong Equation were evaluated to find the best formula to design the model with. A three dimensional curve for water and carbon dioxide was built using Redlich-Kwong. The major issues with the hardware were scaling inconsistencies between the two plots and incorrect trends on the solid/liquid transition line. These issues can be repaired by adjusting the scale on the matlab file where the curves were generated and consulting experimental data where the Redlich-Kwong approximation fails.","abstract_html":"Three phase equilibrium can be a difficult concept to comprehend, since it has geometric relationships in three dimensions. A teaching aid was developed to aid in explaining phase diagrams to student. The curve was made from transparent sheets of acrylic so the saturation curve could be projected onto the wall from the model. Virial Equations of State, Van der Waals Equation, Benedict-Webb-Rubin Equation, and Redlich-Kwong Equation were evaluated to find the best formula to design the model with. A three dimensional curve for water and carbon dioxide was built using Redlich-Kwong. The major issues with the hardware were scaling inconsistencies between the two plots and incorrect trends on the solid/liquid transition line. These issues can be repaired by adjusting the scale on the matlab file where the curves were generated and consulting experimental data where the Redlich-Kwong approximation fails.","abstract_has_math":false,"creators":["Aladro, Camilo, 1982-"],"institution":"Massachusetts Institute of Technology","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":"Massachusetts Institute of Technology. Dept. of Mechanical Engineering.","school":null,"contributors":[],"advisors":["Gareth H. McKinley."],"committee_chairs":[],"committee_members":[],"year":2004,"date_issued":"2004","date_published":"2004","updated_at":"2026-07-22T22:22:21Z","subjects":["Mechanical Engineering."],"languages":["eng"],"rights":["M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission."],"rights_urls":["http://dspace.mit.edu/handle/1721.1/7582"],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/1721.1/32804","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Gareth H. McKinley."]},{"key":"dc:contributor.department","label":"Department","values":["Massachusetts Institute of Technology. Dept. of Mechanical Engineering."]},{"key":"dc:contributor.other","label":"Dc Contributor Other","values":["Massachusetts Institute of Technology. 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The curve was made from transparent sheets of acrylic so the saturation curve could be projected onto the wall from the model. Virial Equations of State, Van der Waals Equation, Benedict-Webb-Rubin Equation, and Redlich-Kwong Equation were evaluated to find the best formula to design the model with. A three dimensional curve for water and carbon dioxide was built using Redlich-Kwong. The major issues with the hardware were scaling inconsistencies between the two plots and incorrect trends on the solid/liquid transition line. These issues can be repaired by adjusting the scale on the matlab file where the curves were generated and consulting experimental data where the Redlich-Kwong approximation fails."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["S.B."]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Development of a three dimensional pressure-volume-temperature model for use in teaching environments"]}]}],"canonical_facts":{"dc:contributor.advisor":["Gareth H. McKinley."],"dc:contributor.department":["Massachusetts Institute of Technology. Dept. of Mechanical Engineering."],"dc:contributor.other":["Massachusetts Institute of Technology. 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The major issues with the hardware were scaling inconsistencies between the two plots and incorrect trends on the solid/liquid transition line. These issues can be repaired by adjusting the scale on the matlab file where the curves were generated and consulting experimental data where the Redlich-Kwong approximation fails."],"dc:description.degree":["S.B."],"dc:format.mimetype":["application/pdf"],"dc:identifier.uri":["http://hdl.handle.net/1721.1/32804"],"dc:language.iso":["eng"],"dc:publisher":["Massachusetts Institute of Technology"],"dc:rights":["M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. 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