Page 189 - Separation process engineering
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Now, L/V cannot be directly calculated from the external reflux ratio L /D, since L and V change on the
                                                                                                    0
                    top stage.

                    Balances on vapor and liquid streams give



                                                                                                                                (4-61)




                                                                                                                                (4-62)

                    An energy balance using the balance envelope in Figure 4-29 is




                                                                                                                                (4-63)

                    With CMO, H  ~ H . Then Eq. (4-63) becomes
                                    1
                                          2
                                                                (V  − V )H ~ L h  − L h
                                                                   2     1       1 1     0 reflux
                    Using Eqs. (4-61) and (4-62), this becomes

                                                                  cH ~ (L  + c)h  − L h
                                                                                        0 reflux
                                                                                  1
                                                                          0
                    Solving for amount condensed, c, we obtain





                                                                                                                               (4-64a)

                    which can also be written as





                                                                                                                               (4-64b)

                    or






                                                                                                                               (4-64c)

                    where f  is the fraction condensed per mole of reflux. We can now calculate the internal reflux ratio, L/V
                             c
                    = L /V . To do this, we start with the ratio we desire and use Eqs. (4-61), (4-62), (4-64), and (4-65).
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