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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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The mass transfer rates <strong>of</strong> catalysts between two phases are difficultly realized due tothe difficult identification <strong>of</strong> the active catalyst during the reaction [57,112–115]. Masstransfer coupled rapid reactions subjected to LLPTC have been studied extensively[58,63,69,115,116]. Mass transfer rates <strong>of</strong> catalysts in the reaction <strong>of</strong> 2,4,6-tribromophenol<strong>and</strong> tetra-n-butylammonium bromide in a solution <strong>of</strong> KOH were determined [57,114].Evans <strong>and</strong> Palmer [50] first consider theoretically the effect <strong>of</strong> diffusion <strong>and</strong> masstransfer in two well-mixed bulk phases <strong>of</strong> uniform composition separated by a uniformstagnant mass transfer layer at the interface. They studied the effect <strong>of</strong> the Damko¨ hlernumber, organic reaction equilibrium rate constant, reactant feed-rate ratio, flow rate <strong>of</strong>the organic phase, <strong>and</strong> the organic reaction reactivity on conversion. Chen et al. [53]derived algebraic expressions for the interphase flux <strong>of</strong> QY <strong>and</strong> QX. The reaction parameterswere estimated from experimental data using a two-stage method <strong>of</strong> optimal parameters.Naik <strong>and</strong> Doraiswamy [117] reported that future research should be directedtowards the use <strong>of</strong> a membrane module as a combination reactor <strong>and</strong> separator unitwith the membrane serving not merely to carry out the PT-catalyzed reaction, but alsosimultaneously <strong>and</strong> selectively to recover the organic product. Stanley <strong>and</strong> Quinn [118]reported the use <strong>of</strong> a membrane reactor for performing PT-catalytic reactions <strong>and</strong>included theoretical models <strong>and</strong> calculations to predict the kinetic behavior <strong>of</strong> the system.Matson [119] investigated the commercial feasibility <strong>of</strong> such membrane systems. However,the characterization <strong>of</strong> hydrodynamic phenomena in PT-catalyzed reactions has not beenattempted.Rushton et al. [120] developed a method for measuring the mass transfer coefficient.However, their method can only be used in systems with unity distribution ratio. Asai etal. [121] measured the liquid–liquid mass transfer coefficients in an agitated vessel with aflat interface. In their later work [122,123] on the alkaline hydrolysis <strong>of</strong> n-butyl acetate <strong>and</strong>oxidation <strong>of</strong> benzyl alcohol in an agitated vessel, the overall reaction rate <strong>of</strong> PTC withmass transfer at a flat interface was analyzed. The observed overall reaction rate wasconcluded to be proportional to the interfacial concentration <strong>of</strong> the actual reactant.Wang <strong>and</strong> Yang [57] investigated the dynamic behavior <strong>of</strong> PT-catalyzed reactions bydetermining the parameters accounting for mass transfer <strong>and</strong> the kinetics in a twophasesystem. The film theory was applied to interpret the behavior <strong>of</strong> PTC. The overallmass transfer coefficients <strong>of</strong> QX (or QY) from an agitated mixture <strong>of</strong> QX (or QY) werefirst calculated in known qualities <strong>of</strong> water <strong>and</strong> the organic solvent by using a simplecorrelation:"lnC QXþV C # QX1V!mQXC QX;i m QXV C QX;i V þ 1 ¼ K QX At ð56ÞThe overall mass transfer coefficient <strong>of</strong> QX was obtained by plotting the term on the lefth<strong>and</strong>side <strong>of</strong> Eq. (56) versus time. Yang et al. [124] developed a mathematical modelconcerning mass transfer in a single droplet to describe the dispersed phase system.They measured the distribution coefficient <strong>and</strong> the mass transfer coefficient <strong>of</strong> a PTcatalytic intermediate between two phases.Also, the diffusion boundary layer resistances on either side <strong>of</strong> the membrane filter inmembrane transport processes have been extensively examined [125,126]. Most <strong>of</strong> thesestudies deal with cases wherein solute diffuses across a membrane filter separating twoaqueous phases with different concentrations. However, the individual film mass transfercoefficients in both liquid phases are unavailable.Copyright © 2003 by Taylor & Francis Group, LLC

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