P12−23B​ The complex gas-phase reactions are elementary (1) 2 A⇄B −r1 A​=k1 A​[CA2​−KCA​CB​​]ΔHRxIA​=−20 kJ/ mole A (2)

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P12−23B​ The complex gas-phase reactions are elementary (1) 2 A⇄B −r1 A​=k1 A​[CA2​−KCA​CB​​]ΔHRxIA​=−20 kJ/ mole A (2) 2 B+A→C r2C​=k2C​[CB2​CA​]ΔHRx2 B​=+30 kJ/ mole B and carried out in a PFR with a heat exchanger. Pure A enters at a rate of 5 mol/min, a concentration of 0.2 mol/dm3, and temperature 300 K. The entering temperature of an available coolant is 320 K. Additional information k1Al​=50dm3/mol∙min@305 K with E1​=8,000 J/molk2C2​=4000dm9/mol3⋅min@310 K with E2​=4,000 J/molKCA​=10dm3/mol@315 K​ Note: This is the equilibrium constant with respect to A in reaction 1 when using van Hoff's equation, i.e., (S12-4), Ua=200dm3⋅minKJ​m˙C​=50 g/min​CPCool​​=10 J/mol/KCPA​​=20 J/mol/K​CPB​​=80 J/mol/KCPC​​=100 J/mol/KR=8.31 J/mol/K​ The reactor volume is 10dm3. (a) Plot (FA​,FB​,FC​) on one graph and (T and Ta​) on another along the length of the reactor for adiabatic operation, heat exchange with constant Ta​, and co-current and countercurrent heat exchange with variable Ta​. Only turn in a copy of your code and output for co-current exchange. Adiabatic operation (b) What is the maximum temperature and at what reactor volume is it reached? (c) At what reactor volume is the flow rate of B a maximum, and what is FBmax​ at this value? Constant Ta​ (d) What is the maximum temperature and at what reactor volume is it reached? (e) At which reactor volume is the flow rate of B a maximum, and what is FBmax​ at this volume? Co-current exchange (f) At what reactor volume does Ta​ become greater than T ? Why does it become greater Countercurrent exchange (g) At what reactor volume does Ta​ become greater than T ? Hint: Guess Ta​ at entrance around 350 K.