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120  PLANT DESIGN AND ECONOMICS FOR CHEMICAL ENGINEERS






                                                      n
                                                        By-products




                            Condensed
                              steam
       FIGURE  4-2
       Input-output of styrene process for Example 2.


            regarding the behavior of those operations. Douglas and  Kirkwood  discuss the
            development of simplified models.? Here the calculations are illustrated assuming
            a constant extent for each reaction. The values used for mass balance calculations
            are,
                            Fractional extent, reaction (1) = 0.47
                                            reaction (2) = 0.025
                                            reaction (3) = 0.005
            The fractional extent-of-reaction is the fraction of the key reactant, ethylbenzene,
            in the reactor feed that reacts while passing through the reactor. In this example,
            0.5 mol of ethylbenzene are consumed per 0.47 mol of styrene produced.
                 A total fractional extent-of-reaction less than 1.0 (0.5 in this example) means
            that not all of the reactant in the feed reacts, so unreacted reactant is present in
            the reactor-product stream. The latter stream contains ethylbenzene, all the
            reaction products, by-products, and steam. It is essential to separate the main
            product, styrene, from the rest of this mixture. Economically it is desirable and
            generally it is necessary to recover unreacted reactants and recycle them to the
            reactor. By-products must be separated and, if possible, effectively utilized. The
            condensed steam must be separated from the product stream and removed.
                 Normal boiling point values (OC)  for the components of this system are:
                      hydrogen     -  252.5   water           100
                      methane      -  161.5   toluene         110.6
                      ethylene     -104       ethylbeniene    136
                      benzene         80.1    styrene         145
            These values show that, with ambient cooling at 1 atm, hydrogen, methane, and
            ethylene are difficult to condense, but that steam, benzene, toluene, ethylbenzene,
            and styrene are easily condensed. Condensation will separate the latter five



       tJ.  M. Douglas and R. L. Kirkwood,  Design Education in Chemical Engineering, Part 1: Deriving
       Conceptual Design Tools,  Gem.   Eng.  Ed.,  23(1):22-25  (winter, 1989).
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