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298    Chapter 11 Distillation




                Inputs to and outputs from the McCabeeThiele method for design of a simple binary distillation
             column comprising of a single feed and two products are listed in Table 11.4.


               Table 11.4 Input and output items for McCabeeThiele method.
                             Inputs                                       Outputs

               · Feed flow rate (F) and composition (z F )   · Distillate and bottoms flow rate (D, B)
               · Column pressure (P) (assumed uniform       · Minimum number of equilibrium stages (N min )
                 throughout the column)                     · Minimum reflux ratio (R min )
               · Condition (phase) of feed at column pressure  · Boil up rate in reboiler (V)
               · V-L-E curve for binary mixture at column   · Condenser and reboiler heat load (Q Condenser ,
                 pressure                                     Q Reboiler )
               · Overhead condenser type (total/partial)    · Number of equilibrium stages (N)
               · Reboiler type                              · Feed stage location (N F )
               · Distillate and bottoms composition (x D and x B )  · Stagewise vapour and liquid composition (y n ,
               · Ratio of reflux to minimum reflux (R/R min )   x n )
              Flow rates (F,D,B,V) are in mol/hr; Compositions (z F, x D ,x B ,y n ,x n ) are in mole fraction of the more volatile component. N is the
              total number of theoretical trays and n denotes the tray number. Conventionally trays are numbered from top to bottom.


                The McCabeeThiele construction for design of a benzene-toluene distillation system at near at-
             mospheric column pressure is shown in Fig. 11.8.


                                1.0
                                0.9                                       (x D ,y D )
                                                                     #1
                                                                 #2
                                0.8
                                                  (x ,y )    #3
                                                   e  e
                                                          #4
                                0.7
                                                                   q–line
                                                       #6
                                                              slope =  q
                                0.6                                 q–1
                                                    #7
                                0.5              #8      (x ,y )
                                                          F  F
                               y
                                0.4    x D
                                    0,        #9
                                      R+1
                                0.3
                                          #10
                                0.2
                                      #11
                                0.1
                                          ,y )
                                        (x B
                                            B
                                0.0
                                  0.0  0.1  0.2  0.3  0.4  0.5  0.6  0.7  0.8  0.9  1.0
                                                     x
             FIGURE 11.8
                                          McCabeeThiele construction.
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