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Chap. 2   Questions and Problems                                63

                                      There are three ways you can arrange your system:
                                      (1)  Reactors in series: CSTR followed by PFR
                                      (2)  Reactors in series: PFR followed by CSTR
                                      (3)  Reactors in parallel with half  the feed rate  going to each reactor  after
                                          which the exit streams are mixed
                                      (a)  If  possible, state which system will give the highest overall conversion.
                                      (b)  If  possible, state which system will give the lowest overall conversion.
                                      (c)  If  in  one  or  more  of  the  cases  above  it  is  not  possible  to  obtain  an
                                          answer, explain why. ($nul  exam, winter 1496)
                                      (d)  Comment on whether or not this is a reasonable final exam problem
                               P2-6s  The exothermic reaction

                                                             A  __+ B+C
                                      was carried out adiabatically and the following data recorded:

                                          X               I  0   0.2   0.4   0.5   0.6   0.8   0.9
                                          -rA(mol/am3.min)  I  10  14.67  50   50   50   12.5   909
                                      The entering molar flow rate of A was 300 mol/min.
                                      (a)  What are the PFR and CSTR volumes necessary to achieve 40% conver-
                                          sion? (V,,,   = 7.2 dm3, V,,,   = 2.4 dm3)
                                      (b)  Over what range of  conversions would the CSTR and PFR reactor vol-
                                          umes be identical?
                                      (c)  What  is  the  maximum conversion  that  can  be  achieved  in  a  10.5-dm3
                                          CSTI??
                                      (d)  Whan conversion can be achieved if a 7.2-dm3 PFR is followed in series
                                          by a 2.4-dm3 CSTR?
                                      (e)  Whaf  conversion can be  achieved if  z  2.4-dm3 CSTR  is followed in  a
                                          series by  a 7.2-dm’  PFR?
                                      (f)  Plot ihe conversion and rate of reaction as a function of PFR reactor vol-
                                          ume up to a volume of  10 dm3.
                               P2-7c   Sgt. Nigel Ambercromby. Worthless Chemical has been making tirene (B) from
                                      butalane (A) (both dark liquids) using a 8.0 ft3 CSTR followed by a 3.1 ft3 PFR.
                                      The entering flow rate is  1 ft3/min. A conversion of  approximately 81% is
                                       achieved using this arrangement. The rate is shown as a function of conversion
                                       in Figure P2-8(a). The CSTR is identical to the one of  the battery of  CS’rRs
                                       shown in Figure 1-1 1. There is a preheater upstream of  the CSTR that heats
                                       the feed to 60°C. One morning the plant manager, iDr. Pakbed, arrived and found
                                       that the clonversion had dropped to approximately 24%. After inspecting the
                                       reactors, the PFR was found to be working perfectly, but a dent was found in
                                       the CSTR that may have been caused by  something like a fork lift truck. He
                                       also notes the CSTR, which aormally makes a “woosh” sound is not as noisy
                                       as it was yesterday. The manager suspects foul play  and calls in  Sgt. Nligel
                                       Ambercromby from  Scotland Yard.  What  are  the  first  four  questions  Sgt.
                                       Ambercromby asks? Make a list of all the things that could cause the drop in
                                       conversian. Quantify the  possible  explanations with  numerical calculations
                                       where possible. Dr. Pakbed tells Sgt. Ambercromby that he must achieve a con-
                                       version  greater  than  50% to  meet  production  schedules downstream. Sgt.
                                       Ambercromby says, “I think I know how you could do this immediately.” What
                                       does Ambercromby have in mind? [with Dan Dixon, ChE 344 W’971
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