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512                       Steady-State Nonisothermal Reactor Design   Chap. 8

                                    a = 410).  Do you  think  there is a point at which some of  the assump-
                                    tions in your equations break down?
                                 (h)  you kept the total catalyst weight constant but varied the catalyst particle
                                    size in Example 8-10, At  what entering temperature does pressure drop
                                    have a significant effect on the exit conversion?
                                 (i)  you  were able to increase Ua in  Example 8-11 by  a factor of  5 or  lo?
                                    What would be the effect on the selectivity SBc?
                                ( j)  you were able to vary T, between 0 and 200°C in Example 8- 12. What would a plot
                                    Of the   te-      vetsus T, look like? (H&;  Compare with Elgune 8-24.)
                                (k)  you were to apply the runaway criteria [Equation (8-77)J to the CSTR in
                                    which the butane isomerization (Example 8-6) was taking place? At what
                                    inlet temperature would it run  away? Under  what  condition would  the
                                    SO2 oxidation run away if it were not safe to exceed a reaction tempera-
                                    ture of  14OO0C?
                                                          (
                                (1)  you added a heat exchanger  1000 < Ua < 15, OOOT   oh   with
                                    (300 < T, < 350 K)  to the reactor  in  Example 8-6 and increased  the
                                                                            m J ,
                                    volume to 6 m3. Describe what you find.
                                The following is an excerpt frmn 7h Morning News, Whnhgton, Delawsre (August 3,
                                 1977): 'TnvestigatOls  sift  thmgh the debris from blast in quest  for the awe [hat
                                destroyed the new  nitrous oxide plant]. A company spokesman said  it appears WE
                                likely that the [fatal] blast was caused by another gas-ammoniun nitrate-used  to p
                                duce nitrous oxide." An 83% (wt)  ammonium Ntrate and 17% water solution is fed at
                                2009; to the CSTR opxated at a ternpame of about 510% Molten ammonium Nme
                                decomposes M  y  to produce gaseous nitrous oxide and steam. It is believed that p-
                                sure fluctuations were observed in the  system and as a result the molten ammonium
                                nime feed to the reactor may have been shut off approximately 4 min priortotheexplc~
                                sion. (a) Can you explain the cause of the blast? [Hint: See B-3 page 574 and Equation
                                (8-n).]  (b) If the feed rate to the reactar just before shutoff was 310 lb of solution per
                                hour, what was the exact temperature in the reactar just prior to shutdown? (c)  How
                                would you start up or shut down and control such a reaction? (d) What do you learn
                                when you apply the runaway don criteria?
                                    Assume that at the time the feed to the CSTR stopped, there was 500 lb of
                                ammonium nitrate in the reactor. The conversion in the reactor is believed to be
                                virtually complete at about 99.99%.
                                Additional information (approximate but close to the real case):

                                       AH&  = -336 Btu/lb ammonium nitrate at 500°F (constant)
                                         C,  = 0.38 Btu/lb ammonium nitrate. "F
                                         C,  = 0.47 Btu/lb of steam. "F
                                                      M
                                                        V
                                       -rAV  = KC,V  = k -   kM(lb/h)
                                                      V
                                where M is the mass of  ammonium nitrate in the CSTR (lb) and k is given by
                                the relationship below
                                                   T ("E)   I   510    560
                                                   k (h-'1  I   0.307   2.912
                                                           I
                                 The enthalpies of water and steam are
                                                    Hi (200°F) = 168 Btu/lb
                                                    H,(500"F) 1202 Btu/lb
                                                             ==
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