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Chapter10DistillationFinedistillation-rectification3Theoreticalplate&plateefficiencyNotesDistillationonatheoreticalplatePlateefficiencydefinitionsimilartothesingleplateefficiency,buttheconcentrationisdefinedatapointontheplate,nottheaveragevalueoftheplate.H=NHETPBasicequationsfordistillationprocessThose4equationsareusedfortwo-componentdistillationonanon-feedplate.Fordistillationwithjcomponents，weneedj-1massandheatbalanceequations,andj-1phaseequilibriumequations.Thecalculationisverycomplicated.AssumptionofconstantmolarflowrateSimilarly,forstrippingsection,ifthoseconditionsaresatisfied,wealsohaveSeparatingatwo-componentliquidmixtureinatowerwithNtheoreticalplates(notincludingthereboiler).Themolarfractionoflightcomponentinresidueliquidis0.052，thevapormolarflowratereturningfromthereboileris1.2timesoftheresidue.Therelativevolatilityinthestrippingsectionis3.2,andtheconstantflowrateassumptionisapplied.FindtheliquidconcentrationenteringtheplateNwhentheresidueflowrateis100kmol/h.SolutiontheliquidconcentrationtofindisxN-1.Startedfromtheknownconcentrationatbottom,byusingofmassbalanceandphaseequilibriumEqs,alternatively,calculatetheconcentrationplatebyplate.Thevapor-liquidphaseisequilibratedinreboiler,buttheconstantmolarflowrateassumptiondoesnotappliedhere.FromlightcomponentmassbalanceCalculationoftwo-componentcontinuousdistillationtowerMassbalanceandtheoperationlineEq.ThemassbalanceforwholetowerisRewriteEq.(10.4.17)intoTheC.V.ofthebalanceisbetweenthecondenseroutletattowertopandtheNthplate.Thebalanceforlightcomponentis
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