The elementary gas-phase reaction 2A ⇄ C is carried out in a packed-bed reactor. Pure A enters the reactor at a 450-K flow rate of 10 mol/s, and a concentration of 0.25 mol/dm³. The PBR contains 90 kg of catalyst and is surrounded by a heat exchanger for which cooling fluid is available at 500 K. Compare the conversion achieved for the four types of heat exchanger operation: adiabatic, constant Ta, co-current flow, and countercurrent flow.
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a=0.019/kg-catCPC-20J/mol/KUa/pb=0.8 J/kg-cat s KFA0=10 mol/hAHRx=-20000J/molCA0=1 mol/dm3CPA=10x J/mol Ku0=10 dm3/h