Chapter 4 Self Test

What four things are wrong with this membrane reactor solution?

The gas phase elementary reaction

2A → B + 2C

is carried out in a membrane reactor in which there is pressure drop with α = 0.019 kg^-1. An equal molar feed of A and inerts, I, enter the reactor and only species B can exit the membrane. Plot the conversion of A down the membrane reactor containing 50 kg of catalyst. The specific reaction rate is k_A = 2.5 dm⁶/mol/kg/s, and the mass transfer coefficient k_C = 1.5 dm³/kg•s

Proposed Solution

Identify 4 things that are incorrect

1. ________________________  should be  ________________________
   
   
2. ________________________  should be  ________________________
   
   
3. ________________________  should be  ________________________
   
   
4. ________________________  should be  ________________________

Go to Actual Solution

First Incorrect Thing

r_B = -kC_A  should be  r_A = -kC_A²

Second Incorrect Thing

r_A = -r_B/2  should be  r_B = -r_A/2

Third Incorrect Thing

F_T = F_A + F_B + F_C  should be  F_T = F_A + F_B + F_C + F_I

Fourth Incorrect Thing

y = (1 - αW)^1/2  should be 

Actual Solution

r_B = -kC_A  should be  r_A = -kC_A²

r_A = -r_B/2  should be  r_B = -r_A/2

F_T = F_A + F_B + F_C  should be  F_T = F_A + F_B + F_C + F_I

y = (1 - αW)^1/2  should be 

F_T0 = F_A0 + F_I

F_I = F_A0

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