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The irreversible elementary gas-phase reaction (40 Points) arried out isothermal

ID: 702297 • Letter: T

Question

The irreversible elementary gas-phase reaction (40 Points) arried out isothermally at 300 K in a packed-bed reactor with 100 kg of catalyst having a bulk sity of 0.72 kgcat/dm P 20 atm entering pressure was 20 atm and t he exit pressure is 2 atm. The feed is equal molar in A FAo 10 mol/min and CaO 0.4 mol/dm3. If the specific reaction rate at 300 K is k 2.5 dm/ kgcat. mol. min a) What conversion would be achieved in the PBR. b) What is the volume of a PFR required to achieve 80% conversion having similar conditions and no pressure drop. c) What would be the weight of catalyst need to achieve same conversion as obtair PBR if the reaction is carried out in a fluidized CSTR operated at 350 K with simil molar flow FAo -10 mol/min. Activation Energy E-5000 cal/mol and R 1.987 cal/ mol. K

Explanation / Answer

CA= CA0*(1-X)y

y=(1-aW)^(1/2)

As, W= 100 kg and y = P2/P1 = 2/20 = 1/10 and a = 9*10^-3 per kg

dX/dW = kCA0 (1-X)y/ FA0, after integrating we get

ln (1/1-X) = (kCA0/FA0)*(2/3a(1-(1-aW)^3/2))

Conversion= 99.9388%

V=Integration (FA0/(kCA0*CA0*((1-X)2))

V = 5 dm3

W2 = W1 exp((E/R)*((1/T1)-(1/T2)) = 331.4358 kg

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