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11. Interfacial Mechanism and Kinetics of Phase-Transfer Catalysis

11. Interfacial Mechanism and Kinetics of Phase-Transfer Catalysis

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Wu [64] characterized the transfer <strong>of</strong> Q þ X from the organic phase to the aqueousphase <strong>and</strong> <strong>of</strong> Q þ Y from the aqueous to the organic phase by definingQY ¼ y 1am QYy 1o; QX ¼ y 2oy 2a m QXð28ÞIf the PT catalysts in the two phases are in extractive equilibrium <strong>and</strong> the mass transferresistance can be neglected completely, then QY <strong>and</strong> QX are each equal to 1.The dynamics for a slow PT reaction <strong>and</strong> a mass transfer controlled instantaneousreaction were studied. Wu [63] <strong>and</strong> Wu <strong>and</strong> Meng [69] indicated that the pseudo-steadystateLLPTC model could describe the complicated nature <strong>of</strong> the LLPTC reaction. Therate equation from the report <strong>of</strong> Wu [63] is expressed asd½RXŠdtk½RXŠQ¼1 = Vm QY þ 1m þ Da ð29ÞQYDaQY m þ Da QY QX þð1 þ m QX Þ QY þ 1m þ þ QYwhere Da QY ð¼ k½RXŠ=k QY A= VÞ <strong>and</strong> Da QX ð¼ k½RXÞ=K QX A= VÞ are the Damkohlernumbers for QY <strong>and</strong> QX, respectively; ð¼ k 2 ½MXŠ=k 2 ½MYŠÞ is the reaction ratio <strong>of</strong>the aqueous reverse reaction to the forward reaction for ion exchange; <strong>and</strong> ð¼ k½RXŠ=k 2 ½MYŠÞ is the reaction ratio <strong>of</strong> the organic phase to the aqueous forward ionexchangereaction.Wu [63] also derived an expression for the catalyst effectiveness, which is defined asthe ratio <strong>of</strong> the actual reaction rate to that with all the catalyst present as QY, in terms <strong>of</strong>seven physically meaningful dimensionless parameters: ¼ m QY þ 1þ Da QY Da QY þ 11þ Dam QY m QX þ 1 þ m QX þ ð30ÞQY m QYBefore evaluating Eq. [30], the parameters <strong>of</strong> kinetics, mass transfer, <strong>and</strong> thermodynamicequilibrium must be established. The aim <strong>of</strong> this work is to evaluate the equilibrium <strong>and</strong>extraction <strong>of</strong> a quaternary salt in an organic solvent/aqueous solution. The studies ondistribution equilibrium <strong>of</strong> the quaternary salts enable one to clarify the true mechanismthrough which the reactant anion is transferred.Models for LLPTC get even more complicated for special cases, e.g., reactions inboth aqueous <strong>and</strong> organic phases, systems involving a base reaction, or other complexseries–parallel multiple reactions. Wang <strong>and</strong> Wu [58] <strong>and</strong> Wu <strong>and</strong> Meng [69] studied thekinetics <strong>and</strong> mass transfer for a sequential reaction using LLPTC that involved a complexreaction with six sequential S N 2 reactions in the organic phase along with interphase masstransfer <strong>and</strong> ion exchange in the aqueous phase.Wang <strong>and</strong> Wu [70] analyzed the extraction equilibrium <strong>of</strong> the effects <strong>of</strong> catalyst,solvent, NaOH/organic substrate ratio, <strong>and</strong> temperature on the consecutive reactionbetween 2,2,2-trifluoroethanol with hexachlorocyclotriphosphazene in the presence <strong>of</strong>aqueous NaOH. Wu <strong>and</strong> Meng [69] reported the reaction between phenol with hexachlorocyclotriphosphazene.They first obtained the intrinsic reaction-rate constant <strong>and</strong> overallmass transfer coefficient simultaneously, <strong>and</strong> reported that the mass transfer resistance <strong>of</strong>QX from the organic to aqueous phase is larger than that <strong>of</strong> QY from the aqueous toorganic phase. The intrinsic reaction-rate constant <strong>and</strong> overall mass transfer coefficientswere obtained in three ways.Copyright © 2003 by Taylor & Francis Group, LLC

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