Page 67 - Chemical engineering design
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                                                        CHEMICAL ENGINEERING
                           Solution
                                                  Reaction: C 2 H 4 C Cl 2 ! C 2 H 4 Cl 2
                           Stoichiometric factor 1.
                                                                      mols DCE produced ð 1
                                 Overall yield (including physical losses) D               ð 100
                                                                        mols ethylene fed
                                                                      94
                                                                   D     ð 100 D 94 per cent
                                                                      100
                                                                       mols DCE produced
                                         Chemical yield (reaction yield) D                 ð 100
                                                                      mols ethylene converted
                                                                      94
                                                                   D    ð 100 D 94.5 per cent
                                                                      99
                           The principal by-product of this process is trichloroethane.


                                                2.14. RECYCLE PROCESSES

                           Processes in which a flow stream is returned (recycled) to an earlier stage in the processing
                           sequence are frequently used. If the conversion of a valuable reagent in a reaction process
                           is appreciably less than 100 per cent, the unreacted material is usually separated and
                           recycled. The return of reflux to the top of a distillation column is an example of a
                           recycle process in which there is no reaction.
                             In mass balance calculations the presence of recycle streams makes the calculations
                           more difficult.
                             Without recycle, the material balances on a series of processing steps can be carried
                           out sequentially, taking each unit in turn; the calculated flows out of one unit become
                           the feeds to the next. If a recycle stream is present, then at the point where the recycle
                           is returned the flow will not be known as it will depend on downstream flows not yet
                           calculated. Without knowing the recycle flow, the sequence of calculations cannot be
                           continued to the point where the recycle flow can be determined.
                             Two approaches to the solution of recycle problems are possible:

                             1. The cut and try method. The recycle stream flows can be estimated and the calcu-
                                lations continued to the point where the recycle is calculated. The estimated flows
                                are then compared with the calculated and a better estimate made. The procedure
                                is continued until the difference between the estimated and the calculated flows is
                                within acceptable limits.
                             2. The formal, algebraic, method. The presence of recycle implies that some of the
                                mass balance equations will have to be solved simultaneously. The equations are
                                set up with the recycle flows as unknowns and solved using standard methods for
                                the solution of simultaneous equations.
                             With simple problems, with only one or two recycle loops, the calculation can often be
                           simplified by the careful selection of the basis of calculation and the system boundaries.
                           This is illustrated in Examples 2.4 and 2.13.
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