dqe - DQEJanuary2001 (35%) 1)

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DQE January 2001 (35%) 1) The following E(t) curve was obtained from a tracer test on a tubular reactor in which dispersion is  believed to occur. (The E profile is symmetric about the centerline.) 0.2 E(t) t (min) A first order reaction     A k → B is to be carried out in this reactor. There is no dispersion occurring either upstream or downstream  of the reactor but there is dispersion inside the reactor. a) What is the Peclet number? b) What is the conversion? Additional Information  k = 0.02 min –1 (35%) 2) The following F curve was obtained from a tracer test on a real reactor t (min) F 4 0.7 0.3 0 1
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a) Can you suggest a system of ideal reactors to model the real reactors? b) What conversion can be expected for a 2nd order reaction    2A k → 2B with k = 0.02 dm 3 /mol/s ? The entering concentration of A is 1.5 M. (30%) 3) The following elementary reaction is carried out isothermally at constant volume.    A k 1  B k 2  k 3  C Suppose that the starting charge to the reactor is     C A 0 + C B0 ( 29  with C B0  having the value of the  equilibrium concentration     C B ( 29 eq. , corresponding to the initial charge of     C A 0 + C B0 ( 29 , after infinite  time     C A 0 = 0 ( 29 . Thus, B starts and ends at the same concentration. a) What is the value of C B0  in terms of the reaction rate constants and C A0  in order for the  concentration of B to remain the same at the beginning of the reaction and at the final  equilibrium? (The conc. of B may vary through the course of the reaction.) b) What is the condition relating the rate constants if C B  were to remain a constant throughout the  course of the reaction? DQE May 2000 1) The gas phase isomerization    A  → B is to be carried out in this reactor. Experiments were carried out in a reactor that had the following  RTD E(t) = 10 e –10t   min –1 where t is in minutes. a) If the volumetric flow rate was 2 dm 3 /min, the conversion was 9.1%, what was the reactor  volume? V = ____________ b) When the volumetric flow rate was 0.2 dm 3 /min the conversion was 50%. When the volumetric  flow rate was 0.02 dm 3 /min, the conversion was 91%. What will the conversion be when the  volumetric flow rate is 10 dm 3 /min? X = ____________
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This note was uploaded on 12/13/2011 for the course CHE 344 taught by Professor Savage during the Fall '08 term at University of Michigan.

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dqe - DQEJanuary2001 (35%) 1)

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