The gas phase conversion of A to B, AB is thought to proceed in one of...

 

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The gas phase conversion of A to B, AB is thought to proceed in one of two ways. The first being unimolecular and gives a first order reaction. The second, being bimolecular giving a second order reaction. Both mechanisms were found to be effectively irreversible. To test the kinetics, a PBR at 175 C showed 50% conversion for 100 kg catalyst with pure feed at 20 atm, no pressure drop, and a volumetric flow rate of 10 L/min. (Analytical solutions are required. You could use Matlab to check/confirm your answers) a. What will be the reaction constants for both first order and second order reactions? b. What will the conversion be if there is a pressure drop of 10 atm across the PBR? Once again you still do not know the mechanism. c. Using the rate constants from part a, compare the conversion for 1st and 2nd order kinetics (plot X vs. W/FAO) for the case of negligible pressure drop and the case with pressure drop (a from part b). d. What will the conversion be (2nd order case) if we split the flow into 4 different PBR reactors (i.e. in place the reactors in parallel), each with 14 of the total catalyst (do the math)? Explain why is it the same or different. The gas phase conversion of A to B, AB is thought to proceed in one of two ways. The first being unimolecular and gives a first order reaction. The second, being bimolecular giving a second order reaction. Both mechanisms were found to be effectively irreversible. To test the kinetics, a PBR at 175 C showed 50% conversion for 100 kg catalyst with pure feed at 20 atm, no pressure drop, and a volumetric flow rate of 10 L/min. (Analytical solutions are required. You could use Matlab to check/confirm your answers) a. What will be the reaction constants for both first order and second order reactions? b. What will the conversion be if there is a pressure drop of 10 atm across the PBR? Once again you still do not know the mechanism. c. Using the rate constants from part a, compare the conversion for 1st and 2nd order kinetics (plot X vs. W/FAO) for the case of negligible pressure drop and the case with pressure drop (a from part b). d. What will the conversion be (2nd order case) if we split the flow into 4 different PBR reactors (i.e. in place the reactors in parallel), each with 14 of the total catalyst (do the math)? Explain why is it the same or different.

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a To determine the reaction constants for both the firstorder and secondorder reactions we can use the given information of 50 conversion in the PBR a... View the full answer