{"id":23,"date":"2019-12-19T20:40:18","date_gmt":"2019-12-19T20:40:18","guid":{"rendered":"https:\/\/libraryresources.nse.org.ng\/chemicalengineeringseparations\/chapter\/performance-metrics-for-separation-processes\/"},"modified":"2026-03-16T01:12:51","modified_gmt":"2026-03-16T01:12:51","slug":"performance-metrics-for-separation-processes","status":"publish","type":"chapter","link":"https:\/\/libraryresources.nse.org.ng\/chemicalengineeringseparations\/chapter\/performance-metrics-for-separation-processes\/","title":{"raw":"Performance Metrics for Separation Processes","rendered":"Performance Metrics for Separation Processes"},"content":{"raw":"$n_{i,k}^{(F)}$ = mass or molar flow rate of species $i$ entering separator $k$ in feed stream (mass time<sup>-1<\/sup> or mol time<sup>-1<\/sup>)\n\n$n_{i,k}^{(1)}$ = mass or molar flow rate of species $i$ leaving separator $k$\u00a0in first product stream (mass time<sup>-1<\/sup> or mol time<sup>-1<\/sup>)\n\n$n_{i,k}^{(2)}$ = mass or molar flow rate of species $i$\u00a0leaving separator $k$\u00a0in second product stream (mass time<sup>-1<\/sup> or mol time<sup>-1<\/sup>)\n\n${\\rm SF}_{i,k}$ = split fraction for species $i$\u00a0in separator $k$<em>\u00a0<\/em>(dimensionless)\n\n${\\rm SR}_{i,k}$ = split ratio for species $i$\u00a0in separator $k$\u00a0(dimensionless)\n\n<img class=\"aligncenter wp-image-21 \" src=\"https:\/\/libraryresources.nse.org.ng\/wp-content\/uploads\/sites\/2\/2019\/06\/Separator1.jpeg\" alt=\"\" width=\"568\" height=\"312\">\n\n\\begin{displaymath}\n<p style=\"padding-left: 40px;\">\\tag{1.1}<\/p>\n<p style=\"padding-left: 40px;\">{\\rm SF}_{i,k} = n_{i,k}^{(1)}\/n_{i,k}^{(F)}<\/p>\n\\end{displaymath}\n\n\\begin{displaymath}\n<p style=\"padding-left: 40px;\">\\tag{1.2}<\/p>\n<p style=\"padding-left: 40px;\">{\\rm SR}_{i,k} = n_{i,k}^{(1)}\/n_{i,k}^{(2)} = {\\rm SF}_{i,k}\/(1-{\\rm SF}_{i,k})<\/p>\n\\end{displaymath}\n\n&nbsp;\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">Example<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n\nFor the process below, compute the split fraction and the split ratio for <em>i<\/em>C<sub>5<\/sub>H<sub>12<\/sub>.\u00a0 Designate the overhead stream as product stream 1.\n\n<img class=\"wp-image-895  aligncenter\" src=\"https:\/\/libraryresources.nse.org.ng\/wp-content\/uploads\/sites\/2\/2026\/03\/Separator2.jpeg\" alt=\"\" width=\"585\" height=\"235\">\n\n<\/div>\n<\/div>\n&nbsp;","rendered":"<p>$n_{i,k}^{(F)}$ = mass or molar flow rate of species $i$ entering separator $k$ in feed stream (mass time<sup>-1<\/sup> or mol time<sup>-1<\/sup>)<\/p>\n<p>$n_{i,k}^{(1)}$ = mass or molar flow rate of species $i$ leaving separator $k$\u00a0in first product stream (mass time<sup>-1<\/sup> or mol time<sup>-1<\/sup>)<\/p>\n<p>$n_{i,k}^{(2)}$ = mass or molar flow rate of species $i$\u00a0leaving separator $k$\u00a0in second product stream (mass time<sup>-1<\/sup> or mol time<sup>-1<\/sup>)<\/p>\n<p>${\\rm SF}_{i,k}$ = split fraction for species $i$\u00a0in separator $k$<em>\u00a0<\/em>(dimensionless)<\/p>\n<p>${\\rm SR}_{i,k}$ = split ratio for species $i$\u00a0in separator $k$\u00a0(dimensionless)<\/p>\n<p><img decoding=\"async\" class=\"aligncenter wp-image-21\" src=\"https:\/\/libraryresources.nse.org.ng\/wp-content\/uploads\/sites\/2\/2019\/06\/Separator1.jpeg\" alt=\"\" width=\"568\" height=\"312\" srcset=\"https:\/\/libraryresources.nse.org.ng\/chemicalengineeringseparations\/wp-content\/uploads\/sites\/2\/2019\/06\/Separator1.jpeg 980w, https:\/\/libraryresources.nse.org.ng\/chemicalengineeringseparations\/wp-content\/uploads\/sites\/2\/2019\/06\/Separator1-300x165.jpeg 300w, https:\/\/libraryresources.nse.org.ng\/chemicalengineeringseparations\/wp-content\/uploads\/sites\/2\/2019\/06\/Separator1-768x422.jpeg 768w, https:\/\/libraryresources.nse.org.ng\/chemicalengineeringseparations\/wp-content\/uploads\/sites\/2\/2019\/06\/Separator1-65x36.jpeg 65w, https:\/\/libraryresources.nse.org.ng\/chemicalengineeringseparations\/wp-content\/uploads\/sites\/2\/2019\/06\/Separator1-225x124.jpeg 225w, https:\/\/libraryresources.nse.org.ng\/chemicalengineeringseparations\/wp-content\/uploads\/sites\/2\/2019\/06\/Separator1-350x192.jpeg 350w\" sizes=\"(max-width: 568px) 100vw, 568px\" \/><\/p>\n<p>\\begin{displaymath}<\/p>\n<p style=\"padding-left: 40px;\">\\tag{1.1}<\/p>\n<p style=\"padding-left: 40px;\">{\\rm SF}_{i,k} = n_{i,k}^{(1)}\/n_{i,k}^{(F)}<\/p>\n<p>\\end{displaymath}<\/p>\n<p>\\begin{displaymath}<\/p>\n<p style=\"padding-left: 40px;\">\\tag{1.2}<\/p>\n<p style=\"padding-left: 40px;\">{\\rm SR}_{i,k} = n_{i,k}^{(1)}\/n_{i,k}^{(2)} = {\\rm SF}_{i,k}\/(1-{\\rm SF}_{i,k})<\/p>\n<p>\\end{displaymath}<\/p>\n<p>&nbsp;<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Example<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>For the process below, compute the split fraction and the split ratio for <em>i<\/em>C<sub>5<\/sub>H<sub>12<\/sub>.\u00a0 Designate the overhead stream as product stream 1.<\/p>\n<p><img decoding=\"async\" class=\"wp-image-895  aligncenter\" src=\"https:\/\/libraryresources.nse.org.ng\/wp-content\/uploads\/sites\/2\/2026\/03\/Separator2.jpeg\" alt=\"\" width=\"585\" height=\"235\" \/><\/p>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n","protected":false},"author":1,"menu_order":2,"template":"","meta":{"pb_show_title":"","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-23","chapter","type-chapter","status-publish","hentry"],"part":20,"_links":{"self":[{"href":"https:\/\/libraryresources.nse.org.ng\/chemicalengineeringseparations\/wp-json\/pressbooks\/v2\/chapters\/23","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/libraryresources.nse.org.ng\/chemicalengineeringseparations\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/libraryresources.nse.org.ng\/chemicalengineeringseparations\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/libraryresources.nse.org.ng\/chemicalengineeringseparations\/wp-json\/wp\/v2\/users\/1"}],"version-history":[{"count":1,"href":"https:\/\/libraryresources.nse.org.ng\/chemicalengineeringseparations\/wp-json\/pressbooks\/v2\/chapters\/23\/revisions"}],"predecessor-version":[{"id":24,"href":"https:\/\/libraryresources.nse.org.ng\/chemicalengineeringseparations\/wp-json\/pressbooks\/v2\/chapters\/23\/revisions\/24"}],"part":[{"href":"https:\/\/libraryresources.nse.org.ng\/chemicalengineeringseparations\/wp-json\/pressbooks\/v2\/parts\/20"}],"metadata":[{"href":"https:\/\/libraryresources.nse.org.ng\/chemicalengineeringseparations\/wp-json\/pressbooks\/v2\/chapters\/23\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/libraryresources.nse.org.ng\/chemicalengineeringseparations\/wp-json\/wp\/v2\/media?parent=23"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/libraryresources.nse.org.ng\/chemicalengineeringseparations\/wp-json\/pressbooks\/v2\/chapter-type?post=23"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/libraryresources.nse.org.ng\/chemicalengineeringseparations\/wp-json\/wp\/v2\/contributor?post=23"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/libraryresources.nse.org.ng\/chemicalengineeringseparations\/wp-json\/wp\/v2\/license?post=23"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}