Page 69 - Coulson Richardson's Chemical Engineering Vol.6 Chemical Engineering Design 4th Edition
P. 69

52
                                                        CHEMICAL ENGINEERING
                             Let flow of ethylene to block A be X and to block B be Y, and the HCl recycle be Z.
                             Then the total mols of DCE produced D 0.98X C 0.95Y, allowing for the yields, and
                           the mols of HCl produced in block C
                                                    D  0.98X C 0.95Y 0.995 D Z                      a
                           Consider the flows to and product from block B
                                                  C H       Block
                                                   2 4
                                                   O 2       B            DCE
                                                                          (Z) HCL

                           The yield of DCE based on HCl is 90 per cent, so the mols of DCE produced
                                                               0.90Z
                                                             D
                                                                 2
                             Note: the stoichiometric factor is 2 (2 mol HCl per mol DCE).
                             The yield of DCE based on ethylene is 95 per cent, so
                                                         0.9Z
                                                             D 0.95Y
                                                          2
                                                                0.95 ð 2Y
                                                           Z D
                                                                   0.9
                           Substituting for Z into equation (a)gives
                                                                            0.9
                                                Y D  0.98X C 0.95Y 0.995 ð
                                                                         2 ð 0.95
                                                Y D 0.837X                                          b
                           Total VC produced D 0.99 ð total DCE, so

                                                 0.99 0.98X C 0.95Y  D 200 kmol/h
                           Substituting for Y from equation (b)gives X D 113.8kmol/h

                           and                   Y D 0.837 ð 113.8 D 95.3kmol/h

                           HCl recycle from equation (a)

                                         Z D  0.98 ð 113.8 C 0.95 ð 95.3 0.995 D 201.1kmol/h
                                                               200
                             Note: overall yield on ethylene D         ð 100 D 96 per cent
                                                           113.8 C 95.3


                                                         2.15. PURGE

                           It is usually necessary to bleed off a portion of a recycle stream to prevent the build-up of
                           unwanted material. For example, if a reactor feed contains inert components that are not
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