Page 230 - Academic Press Encyclopedia of Physical Science and Technology 3rd Chemical Engineering
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               554                                                                                       Distillation


               1. Fix the pressure of operation of the column.   TABLE II Typical Operating Conditions in Distillation
               2. Determine the number of theoretical stages necessary
                                                                                  Pressure  Temperature
                  to achieve the required separation as a function of the         (bars),     ( C)     Theoretical
                                                                                              ◦
                  reflux ratio R.                                                    top    Top   Base    stages
               3. Estimate the optimum value for R.
                                                                 Demethanizer       33     −94    −8      32
               4. Relate the required number of theoretical stages to the
                                                                 Deethanizer        28     −18    72      40
                  actual height of the column needed.
                                                                 Ethane–ethylene
               5. Determine the necessary column diameter.
                                                                   splitter         21     −29   −45      80
               6. Refine steps 1 to 5 to achieve an optimum design.
                                                                 Propane–propylene
                                                                   splitter         18      45    60     150
               Thefollowingsectionsdealwithsteps1to5inmoredetail.  Isobutane-n-butane
                                                                   splitter          7      45    65      60
                                                                 Deisohexanizer     1.6     55    120     60
               A. Column Operating Pressure
                                                                 Oxygen–nitrogen
               The condensing temperature of the overhead vapor is re-  separation  1.1   −194  −178      70
               duced by lowering the column pressure. Very often, cool-  Ethylbenzene–styrene
               ing water is used for condensation, and typically it has a  separator  0.06  55    115     85
               temperature of ∼35 C. Consequently, the condensing va-  Crude oil distillation  0.03  93  410  —
                               ◦
               por must have a temperature of not less than ∼50 C, and
                                                       ◦
               this sets the lower limit of the column operating pressure.
                                                                 ing a slope R/(R + 1). The operating line for the lower
                 The boiling temperature of the bottoms product in-
                                                                 section below the feed is drawn by joining the required
               creases as the column pressure increases. Typically,
                                                                 bottom composition to a point located by the intersection
               medium-pressure steam, which has a temperature of
               ∼200 C, is used in the reboiler.                  of the upper section operating line and the q line. The
                    ◦
                 When this steam is used for heating, the bottoms  q  line of Fig. 13 represents a liquid feed at its bubble
               product cannot have a boiling temperature greater than  point, but the slope of the q line differs for other thermal
               ∼185 C which sets an upper limit on the column operating  conditions of the feed. The number of theoretical stages
                    ◦
               pressure.                                         required is determined by stepping off between the oper-
                                                                 ating lines and the equilibrium line, as shown in Fig. 13.
                 Other heating and cooling arrangements can be em-
                                                                 Each step on the diagram represents a theoretical stage.
               ployed, such as the use of a refrigerant in the condenser
                                                                 For the example shown, only nine theoretical stages are
               or higher pressure steam in the reboiler, but they increase
                                                                 required, but usually many more are needed in industrial
               costs and are avoided whenever possible. An additional
                                                                 columns.
               consideration that often limits the maximum tempera-
                                                                   In practice, feeds rarely consist of only two compo-
               ture of the bottoms product is polymerization and product
                                                                 nents, and the McCabe–Thiele diagram cannot be used.
               degradation at high temperatures (and therefore at high
               pressures). Furthermore, at lower pressures the relative
               volatility tends to increase so fewer theoretical stages are
               required, but at the same time the column diameter tends
               to increase.
                 As a result of these factors the distillation pressure
               varies widely. Typically, the distillation pressure falls as
               the molecular weight of the feed increases. Some typ-
               ical operating pressures and temperatures are shown in
               Table II.

               B. Calculation of the Required Number
                  of Theoretical Stages
               Figure 13 shows a McCabe–Thiele diagram, which can
               be used when the mixture to be distilled consists of only
               two components or can be represented by two compo-
               nents. Starting at the required overhead product compo-  FIGURE 13 McCabe–Thiele diagram for benzene and toluene
               sition x D , an upper-section operating line is drawn hav-  (top column pressure, 1.0 bar).
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