Question

The elementary reversible gas-phase reaction A + B ( ightleftharpoons) 2C is to be carried out in a PFR and a CSTR. The feed contains only A and B in stoichiometric proportions at 580.5 kPa and 77°C. The molar feed rate of A is 20 mol/s. The reaction is carried out adiabatically. (a) Determine the plug-flow reactor volume necessary to achieve 85% of the adiabatic equilibrium conversion. (b) Plot (-r_A), X, and T as a function of reactor length if the cross-sectional area is 0.01 m². What do the plots suggest about changing the feed conditions? (c) Determine the conversion that can be achieved in a 1.5-m³ CSTR with a heat exchanger mounted inside. (d) Repeat parts (a) and (c) for the case of an endothermic reaction with a (Delta H^circ_R) of the same absolute magnitude but with an entering temperature of 277°C. Additional information: Rate-law parameters: k = 0.035 dm³/molcdot min at 273 K E = 70,000 J/mol Thermodynamic parameters at 25°C: (H_A^circ) = -40 kJ/mol (C_{PA}) = 25 J/molcdot K (H_B^circ) = -30 kJ/mol (C_{PB}) = 15 J/molcdot K (H_C^circ) = -45 kJ/mol (C_{PC}) = 20 J/molcdot K (K_c) = 25,000 Heat-exchanger data: Overall heat-transfer coefficient = 10 W/m²cdot K Exchanger area = 2 m² Ambient temperature = 17°C

          The elementary reversible gas-phase reaction
A + B (
ightleftharpoons) 2C
is to be carried out in a PFR and a CSTR. The feed contains only A and B in
stoichiometric proportions at 580.5 kPa and 77°C. The molar feed rate of A is
20 mol/s. The reaction is carried out adiabatically.
(a) Determine the plug-flow reactor volume necessary to achieve 85% of the
adiabatic equilibrium conversion.
(b) Plot (-r_A), X, and T as a function of reactor length if the cross-sectional area
is 0.01 m². What do the plots suggest about changing the feed conditions?
(c) Determine the conversion that can be achieved in a 1.5-m³ CSTR with a
heat exchanger mounted inside.
(d) Repeat parts (a) and (c) for the case of an endothermic reaction with a
(Delta H^circ_R) of the same absolute magnitude but with an entering temperature of
277°C.
Additional information:
Rate-law parameters:
k = 0.035 dm³/molcdot min at 273 K
E = 70,000 J/mol
Thermodynamic parameters at 25°C:
(H_A^circ) = -40 kJ/mol      (C_{PA}) = 25 J/molcdot K
(H_B^circ) = -30 kJ/mol      (C_{PB}) = 15 J/molcdot K
(H_C^circ) = -45 kJ/mol      (C_{PC}) = 20 J/molcdot K
(K_c) = 25,000
Heat-exchanger data:
Overall heat-transfer coefficient = 10 W/m²cdot K
Exchanger area = 2 m²
Ambient temperature = 17°C

The elementary reversible gas-phase reaction
A + B (
ightleftharpoons) 2C
is to be carried out in a PFR and a CSTR. The feed contains only A and B in
stoichiometric proportions at 580.5 kPa and 77°C. The molar feed rate of A is
20 mol/s. The reaction is carried out adiabatically.
(a) Determine the plug-flow reactor volume necessary to achieve 85% of the
adiabatic equilibrium conversion.
(b) Plot (-rA), X, and T as a function of reactor length if the cross-sectional area
is 0.01 m². What do the plots suggest about changing the feed conditions?
(c) Determine the conversion that can be achieved in a 1.5-m³ CSTR with a
heat exchanger mounted inside.
(d) Repeat parts (a) and (c) for the case of an endothermic reaction with a
(Delta H^circR) of the same absolute magnitude but with an entering temperature of
277°C.
Additional information:
Rate-law parameters:
k = 0.035 dm³/molcdot min at 273 K
E = 70,000 J/mol
Thermodynamic parameters at 25°C:
(HA^circ) = -40 kJ/mol (CPA) = 25 J/molcdot K
(HB^circ) = -30 kJ/mol (CPB) = 15 J/molcdot K
(HC^circ) = -45 kJ/mol (CPC) = 20 J/molcdot K
(Kc) = 25,000
Heat-exchanger data:
Overall heat-transfer coefficient = 10 W/m²cdot K
Exchanger area = 2 m²
Ambient temperature = 17°C

Added by Samantha S.

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