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5.2.6 HYDROL - Batch Reactor Hydrolysis of Acetic Anhydride System The liquid phase hydrolysis reaction of acrtic anlydride to form acric acid is carried out in a constant volumie. adiabatic batch reactoc. The reaction is exothermic with the following stoichiometry (CH1CO)4O+H2O2CH1COOH+Heat Fig. 1. The adubabic batch mector with variables of concentration and temperatuse Model The acetic anhydride balance can be formulated as (Rateofaccumulationinreactor)=(Rateoflossdoetochemicalteaction) hence, for the first-otder reaction dtd(vCk)=kCiV and for constant volume conditions dtdCk=kCk The fractional conversion for the batch is Xa=CisCabCi The temperature influence on the rate is given by k=ZeE/R The heat balance under adiahatic conditions is as follows k=ZeK/kTR The heat balance under adibatic conditions is as follows: (Rateofaccumulationofheatinthereactor)=(Rateofheatgenerationbychemicalreaction)McpdtdTE=kCAVH or dtdT=kCCVMcNAH Nomenclature Symbols Exercises 1. Study the effect of differing initial batch charge temperatures on the fractional conversion XA, the reactor temperature TR, and the requuired batch time. 2. What initial temperature is required to give 99% conversion if the batch temperature must not exceed 300K ? What is the corresponding batch time required? 5.2 Butch Renctor Examples 249 3. What is the batch time requirement for the reactor operating isothemally at 20C. How must the heat removal requirement vary during the batch in order to maintain the batch temperature constant? Extrcites 1. Study the effect of differing initial basch charge temperatures on the fractional conversion XA, the feacter temperatare TR, and the required batch time 2. What initial temperature in required to pive 99% conversion if the bunch temperature mast not exceed 300K ? What is the correspanding batch time requited? 5.2 Alech Rnadis Erampia 249 3. What is the batch time fequirement for the feactor operating toothermally at 20C. How must the heat removal requirement vary during the batch in order to maintain the batch trmperature constant? Results Fie. 2 Temperature and concentasion variationa with lime for a rance of atarting tempecature, The. Fig. 1. Variation of fruction comerion duting the rum in fic, 2 Reference Trats, 133