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(b) Consider a jacketed CSTR in non-isothermal operation, where the following exothermic irreversible reaction between sodium thiosulphate and hydrogen peroxide is taking place: 2Na2S2O3+4H2O2Na2S3O6+Na2SO4+4H2O. By
(b) Consider a jacketed CSTR in non-isothermal operation, where the following exothermic irreversible reaction between sodium thiosulphate and hydrogen peroxide is taking place: 2Na2S2O3+4H2O2Na2S3O6+Na2SO4+4H2O. By using the letters A, B, C. D and E, we represent the chemical compounds Na2S2O3,H2O2,Na2S3O6,Na2SO4 and H2O, respectively. The reaction kinetic law is reported as rA=k(T)CACB=k0exp(RTE)CACB where k(T) is the reaction rate constant, k0 the reaction frequency factor, E the reaction activation energy, R the gas constant, T the temperature, and CA and CB the concentrations of species A and B, respectively. Assume stoichiometric proportion of species A and B in the feed stream for all times, i.e., CB(t)=2CA(t). (i) State all standard assumptions considered in the above problem. (3 mark (ii) Based on the above assumptions derive the following nonlinear dynamic process model equations: dtdCA=VF(CA,nCA)2k(T)CA2dtdT=VF(TmT)+2Cr(H)k(T)CA2VCPUA(TTt) where F is the feed flow rate, V the reactor volume, C,n the inlet concentration, Tg the inlet temperature, Tj the jacket temperature, the density of the reacting mixture, Cr the heat capacity of the reacting mixture, (H) the heat of reaction, U the over. transfer coefficient, and A the heat exchange area
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