{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/64599"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/64599","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"The application of separation indices to multistage systems","abstract":"The applications of the extent of separation and the extent of purification to multistage separation processes have been studied in detail. Neither index is suitable for stage-to-stage calculations in such processes. This is due to the fact that, at any stage, both indices depend only on the outlet stream compositions. It is not possible to reconstruct the inlet stream compositions knowing only the equilibrium compositions of the outlet streams, i.e., both indices represent an underspecification of the single stage within a multistage system. A new index, E<sub>m</sub>= abs X₁₁/X₂₂ X₁₁/X₂₂ is proposed. The application of this new index to a multistage distillation process gives a much more realistic comparison of the contribution of individual stages to the observed separation. Applications to other types of multistage separation processes as well as a single stage system have also been studied.","abstract_html":"The applications of the extent of separation and the extent of purification to multistage separation processes have been studied in detail. Neither index is suitable for stage-to-stage calculations in such processes. This is due to the fact that, at any stage, both indices depend only on the outlet stream compositions. It is not possible to reconstruct the inlet stream compositions knowing only the equilibrium compositions of the outlet streams, i.e., both indices represent an underspecification of the single stage within a multistage system. A new index, E&lt;sub&gt;m&lt;/sub&gt;= abs X₁₁/X₂₂ X₁₁/X₂₂ is proposed. The application of this new index to a multistage distillation process gives a much more realistic comparison of the contribution of individual stages to the observed separation. Applications to other types of multistage separation processes as well as a single stage system have also been studied.","abstract_has_math":false,"creators":["Chaipayungpan, Adisorn"],"institution":"Virginia Polytechnic Institute and State University","degree_name":"Master of Science","degree_level":"masters","degree_discipline":"Chemical Engineering","degree_department":"Chemical Engineering","school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1972,"date_issued":"1972","date_published":"1972","updated_at":"2026-07-22T22:20:25Z","subjects":[],"languages":["en"],"rights":["In Copyright"],"rights_urls":["http://rightsstatements.org/vocab/InC/1.0/"],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/10919/64599","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.department","label":"Department","values":["Chemical Engineering"]},{"key":"dc:creator","label":"Author","values":["Chaipayungpan, Adisorn"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2016-02-01T14:45:01Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2016-02-01T14:45:01Z"]},{"key":"dc:date.issued","label":"Date","values":["1972"]},{"key":"dc:publisher","label":"Institution","values":["Virginia Polytechnic Institute and State University"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.dcmitype","label":"Dc Type Dcmitype","values":["Text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Chemical Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["masters"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Virginia Polytechnic Institute and State University"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["In Copyright"]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://rightsstatements.org/vocab/InC/1.0/"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10919/64599"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The applications of the extent of separation and the extent of purification to multistage separation processes have been studied in detail. Neither index is suitable for stage-to-stage calculations in such processes. This is due to the fact that, at any stage, both indices depend only on the outlet stream compositions. It is not possible to reconstruct the inlet stream compositions knowing only the equilibrium compositions of the outlet streams, i.e., both indices represent an underspecification of the single stage within a multistage system. A new index, E<sub>m</sub>= abs X₁₁/X₂₂ X₁₁/X₂₂ is proposed. The application of this new index to a multistage distillation process gives a much more realistic comparison of the contribution of individual stages to the observed separation. Applications to other types of multistage separation processes as well as a single stage system have also been studied."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["Master of Science"]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["The application of separation indices to multistage systems"]}]}],"canonical_facts":{"dc:contributor.department":["Chemical Engineering"],"dc:creator":["Chaipayungpan, Adisorn"],"dc:date.accessioned":["2016-02-01T14:45:01Z"],"dc:date.available":["2016-02-01T14:45:01Z"],"dc:date.issued":["1972"],"dc:description.abstract":["The applications of the extent of separation and the extent of purification to multistage separation processes have been studied in detail. Neither index is suitable for stage-to-stage calculations in such processes. This is due to the fact that, at any stage, both indices depend only on the outlet stream compositions. It is not possible to reconstruct the inlet stream compositions knowing only the equilibrium compositions of the outlet streams, i.e., both indices represent an underspecification of the single stage within a multistage system. A new index, E<sub>m</sub>= abs X₁₁/X₂₂ X₁₁/X₂₂ is proposed. The application of this new index to a multistage distillation process gives a much more realistic comparison of the contribution of individual stages to the observed separation. Applications to other types of multistage separation processes as well as a single stage system have also been studied."],"dc:description.degree":["Master of Science"],"dc:format.mimetype":["application/pdf"],"dc:identifier.uri":["http://hdl.handle.net/10919/64599"],"dc:language.iso":["en"],"dc:publisher":["Virginia Polytechnic Institute and State University"],"dc:rights":["In Copyright"],"dc:rights.uri":["http://rightsstatements.org/vocab/InC/1.0/"],"dc:title":["The application of separation indices to multistage systems"],"dc:type":["Thesis"],"dc:type.dcmitype":["Text"],"thesis:degree_discipline":["Chemical Engineering"],"thesis:degree_level":["masters"],"thesis:degree_name":["Master of Science"],"thesis:institution_name":["Virginia Polytechnic Institute and State University"]},"updated_at":"2026-07-22T22:20:25Z"}