Question

A second order catalytic gas-phase reaction 2A ? 2B is carried out in an isothermal packed bed reactor (PBR) containing catalyst with the spherical particle diameter of 0.005 m to produce B. Pure reactant A enters the reactor at 1013 kPa and temperature of 300 °C. Additional Information: Superficial mass velocity, G = 10 kg/m².s Feed molar flow rate of A, FA0 = 0.835 mol/s Reactant density at inlet condition, ?0 = 2.5 kg/m³ Solid catalyst density, ?c = 2000 kg/m³ Diameter of the reactor, d = 0.05 m Diameter of the catalyst particle, Dp = 0.005 m The void fraction in the bed, ? = 0.6 Specific rate constant, k = 1.6 dm³/kg.s Conversion factor, gc = 1 kg.m/s².N (a) Calculate the weight of the catalyst needed in PBR to achieve 80% conversion if not considering the pressure drop. (12 Marks) (b) Calculate the conversion achieved in PBR when 10 kg of the catalyst is used and considering the pressure drop. Assume the pressure drop is turbulent dominant. (17 Marks) (c) What is the final pressure, P when pressure drop in (b) is considered? (3 Marks)

          A second order catalytic gas-phase reaction
2A ? 2B
is carried out in an isothermal packed bed reactor (PBR) containing catalyst with the spherical particle diameter of 0.005 m to produce B. Pure reactant A enters the reactor at 1013 kPa and temperature of 300 °C.

Additional Information:
Superficial mass velocity, G = 10 kg/m².s
Feed molar flow rate of A, FA0 = 0.835 mol/s
Reactant density at inlet condition, ?0 = 2.5 kg/m³
Solid catalyst density, ?c = 2000 kg/m³
Diameter of the reactor, d = 0.05 m
Diameter of the catalyst particle, Dp = 0.005 m
The void fraction in the bed, ? = 0.6
Specific rate constant, k = 1.6 dm³/kg.s
Conversion factor, gc = 1 kg.m/s².N

(a) Calculate the weight of the catalyst needed in PBR to achieve 80% conversion if not considering the pressure drop.
(12 Marks)
(b) Calculate the conversion achieved in PBR when 10 kg of the catalyst is used and considering the pressure drop. Assume the pressure drop is turbulent dominant.
(17 Marks)
(c) What is the final pressure, P when pressure drop in (b) is considered?
(3 Marks)

$A second order catalytic gas-phase reaction 2A ? 2B is carried out in an isothermal packed bed reactor (PBR) containing catalyst with the spherical particle diameter of 0.005 m to produce B. Pure reactant A enters the reactor at 1013 kPa and temperature of 300 °C. Additional Information: Superficial mass velocity, G = 10 kg/m².s Feed molar flow rate of A, FA0 = 0.835 mol/s Reactant density at inlet condition, ?0 = 2.5 kg/m³ Solid catalyst density, ?c = 2000 kg/m³ Diameter of the reactor, d = 0.05 m Diameter of the catalyst particle, Dp = 0.005 m The void fraction in the bed, ? = 0.6 Specific rate constant, k = 1.6 dm³/kg.s Conversion factor, gc = 1 kg.m/s².N (a) Calculate the weight of the catalyst needed in PBR to achieve 80% conversion if not considering the pressure drop. (12 Marks) (b) Calculate the conversion achieved in PBR when 10 kg of the catalyst is used and considering the pressure drop. Assume the pressure drop is turbulent dominant. (17 Marks) (c) What is the final pressure, P when pressure drop in (b) is considered? (3 Marks)$

Added by Keith G.

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