The elementary, irreversible gas-phase reaction A B + C is carried out adiabatically in a PFR

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The elementary, irreversible gas-phase reaction A → B + C is carried out adiabatically in a PFR packed with a catalyst. Pure A enters the reactor at a volumetric flow rate of 20 dm3/s, at a pressure of 10 atm, and a temperature of 450 K.
Additional information:CPA=40J/mol K CPB=25J/mol K CPC=15J/mol KHAo=-70kJ/mol HBo=-50kJ/mol HCo=-40kJ/mol

All heats of formation are referenced to 273 K.kx = 0.133x exp[ER(1450-1T)]dm3kg-cat six with Ex= 31.4x kJ/mol

a. Plot and then analyze the conversion and temperature down the plug-flow reactor until an 80% conversion (if possible) is reached. (The maximum catalyst weight that can be packed into the PFR is 50 kg.) Assume that ΔP = 0.0
b. Vary the inlet temperature and describe what you find.
c. Plot the heat that must be removed along the reactor (Q˙ vs. V) to maintain isothermal operation.
d. Now take the pressure drop into account in the PBR with ρb = 1 kg/dm3. The reactor can be packed with one of two particle sizes. Choose one.
α = 0.019/kg-cat for particle diameter D1
α = 0.0075/kg-cat for particle diameter D2

e. Plot and then analyze the temperature, conversion, and pressure along the length of the reactor. Vary the parameters α and P0 to learn the ranges of values in which they dramatically affect the conversion.

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