Pressure variation in PFR reactor: Use the Ergun equation derived in class, along with the PFR reactor design equation, to determine variation in pressure along the reactor position for the following reaction stoichiometry: Catalyst properties (for Ergun parameter): Air flow rate in reactor: 100 lbm/hour; T & P conditions at inlet:  T = 200 C;  P = 5 atm; Air properties at inlet:    μ0 = 0.0673 lbm/ft-hr;   ρ0 = 0.413 lbm/ft3; Catalyst:  ρCAT = 100 lbm/ft3; particle diameter = 0.20 inches; void fraction Φ = 0.37; Single tube diameter (ID) = 1.25 inches; Gravitational constant:   gC = 4.17 x 108 lbm-ft/(lbf-hr2) Reactor conditions: Reaction:   A  +  B  →  C,   -rA’ = k*PA, with k = 0.08 lb mol/(lb cat-hr); Assume that the B component is oxygen, and it is present in large excess, so not included in the rate equation; FA0 = 2 lb mol/hr; yA0 = 0.15; PA0 = 0.75 atm. Write out the Ergun-based differential equation and the reactor design differential equation, with numeric values substituted in for the equation parameters.   Present a single graph showing the trend in pressure and conversion with position along the PBR.

Question

Pressure variation in PFR reactor: Use the Ergun equation derived in class, along with the PFR reactor design equation, to determine variation in pressure along the reactor position for the following reaction stoichiometry:

Catalyst properties (for Ergun parameter):

Air flow rate in reactor: 100 lbm/hour;

T & P conditions at inlet:  T = 200 C;  P = 5 atm;

Air properties at inlet:    μ0 = 0.0673 lbm/ft-hr;   ρ0 = 0.413 lbm/ft3;

Catalyst:  ρCAT = 100 lbm/ft3; particle diameter = 0.20 inches; void fraction Φ = 0.37;

Single tube diameter (ID) = 1.25 inches;

Gravitational constant:   gC = 4.17 x 108 lbm-ft/(lbf-hr2)

Reactor conditions:

Reaction:   A  +  B  →  C,   -rA’ = k*PA, with k = 0.08 lb mol/(lb cat-hr);

Assume that the B component is oxygen, and it is present in large excess, so not included in the rate equation;

FA0 = 2 lb mol/hr; yA0 = 0.15; PA0 = 0.75 atm.

Write out the Ergun-based differential equation and the reactor design differential equation, with numeric values substituted in for the equation parameters.  

Present a single graph showing the trend in pressure and conversion with position along the PBR.

 

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