Question

CHEMICAL REACTION ENGINEERING I

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The production of 50,000MT per annum of ethylbenzene (EB) takes place in a flow reactor as follows 1. C6H6+C2H4C6H5C2H5 benzene ethylene ethylbenzene The reaction rate for this series of reactions can be expressed as: rj=k0,jeEi/RTCethyleneaCbenzenebCEBcCDEBd Where i refers to the chemical component and j refers to the reaction number. The units for j i are kmol/s/m3-reactor, the units for Ci are kmol/m3-gas and the units for kkgii are kmol1m3s1. The values of Ei and ki are given in Table 1 for each respective reaction. Table 1: Parameters for reactions 1, 2 and 3 The reactions occur at approximately in the range of 300500C at 20atm. The feed for benzene is pure but the feed for ethylene contains a small percentage of impurity ( 7% ethane). The total molar flow rate is calculated from the annual production rate of the process. By assuming the gas follows ideal gas law, please conduct design of the reactor for this production (8000 hrs of operation per year) according to the following tasks:- 1. Discuss the chemistry, thermodynamics fundamental of the reactions and the strategy to optimize feed conditions, reactor scheme and reaction temperature. (8 Marks) 2. Determine heat effect of the PBR or other reactor (if the suitable reactor is different) (12 Marks) The heat capacity of species in the reactions are varied with reaction temperature based on the hyperbolic equations Cp0=Cl+C2[sinh(C3/T)C3/T]2+C4[cosh(C5/T)C5/T]J/kmol/K2 And for diethyl benzene, the heat capacity was calculated by using CpDEB=C1+C2T+C3T2+C4T3+C5T4 by using parameters from the Chem Eng Perry's Handbook as shown in Table 2 Table 2 The enthalpies of respective reaction are expressed as follows, HRxm1=5.63T2+9.914e4T1.387e8HRxm2=33.2T26.8e4T6.663e7HRxn3=114.79T2+1.829e4T6.058e6 3. Estimate the optimum PBR or other reactor (if the suitable reactor is different) for the production of ethylbenzene ( 5 Marks)