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Analytical solution of equilibrium‐stage operations—application to rectification with varying saturated enthalpies and to liquid‐liquid extraction
Author(s) -
Martin Joseph J.
Publication year - 1963
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690090515
Subject(s) - chemistry , vapor–liquid equilibrium , thermodynamics , distillation , extraction (chemistry) , liquid–liquid extraction , equilibrium constant , chromatography , physics
A complete analytical solution is developed for the number of equilibrium stages in separations processes for which operating and equilibrium lines are not necessarily straight. The resulting equations are solutions of a Riccati difference equation and are applied to liquid‐liquid extraction and the distillation of a binary mixture where the liquid and vapor flows are not constant because of the variation of the saturated liquid and vapor enthalpies with concentration. A specific example is given for the separation of ethyl alcohol and water in which the equilibrium curve is highly nonlinear and where a large number of plates are required in a pinch region. Another example is given for the extraction of methylcyclopentane from its solution in n‐hexane using aniline as a selective solvent.