The Material Balance for Chemical Reactors

4 The MaterialBalancefor GeneralMoleBalanceConsideran arbitraryreactorvolumeelementdepictedin ,whichhas inletand outletstreamswithvolumetric owratesQ0andQ1, molarconcentrationsof componentjin the twostreamsare givenbycj0andcj1and the productionrate of componentjdue to chemicalreactionsisRj. The statementof conservationofmassfor this systemtakesthe form,8> <>:rate ofaccumulationof componentj9>=>; (rate of in owof componentj) (rate of out owof componentj) 8> <>:rate of generationof componentjbychemicalreactions9>=>;( ) MaterialBalancefor ChemicalReactorsIn termsof the de nedvariables,we can as,ddtZVcjdV Q0cj0 Q1cj1 ZVRjdV( ) appliesto everychemicalcomponentin the system,j 1;2;:::;ns, includinginerts,whichdo not take placein any can, of course,includevolumeelementswithmorethan two owstreamsby summingwiththe appropriatesign over all streamsenter-ing and leavingthe the balancesin this chapter,therewillbe two or fewer that we are assumingthatcomponentjentersand leavesthe reactorvolumeelementonlybyconvectionwith the in owand out particular,we areneglectingdiffusional ux throughthe boundaryof the volumeelementdue to a diffusional u

4 The Material Balance for Chemical Reactors 4.1 General Mole Balance Consider an arbitrary reactor volume element depicted in Figure 4.1, which has inlet and outlet streams with volumetric flowrates Q0 and Q1, respectively.The molar concentrations of component jin the two streams are given by cj0 and cj1 and the production rate of component jdue …

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