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              Distillation                                                                                551





















                                          FIGURE 4 Valve tray. [Courtesy of Koch–Glitsch, Inc.]

              Another approach is to fabricate and install a precisely  II. DISTILLATION THEORY
              defined packing structure, which is carefully placed to fill
              the column. An example of a structured packing is shown  The process of distillation depends on the fact that the
              in Fig. 8. Both types of packing are most commonly made  composition of the vapor that leaves a boiling liquid mix-
              from stainless steel. The surface area per unit volume is  ture is different from that of the liquid. Conversely, drops
              a key variable. Large surface area packings have lower  of liquid that condense from a vapor mixture differ in
              efficiencies, higher capacities, lower pressure drops, and  composition from the vapor.
              lower costs than small surface area packings.       A key physical property in distillation theory is the va-
                Liquidisintroducedintoapackedcolumnviaadistribu-  por pressure. Each pure component has a characteristic
              tor (Fig. 9), which causes a large number of liquid streams  vapor pressure at a particular temperature, and vapor pres-
              to trickle over the surface of the packing. The design of the  sure increases with temperature and generally with a re-
              distributor is often critical for successful packed-column  duction in molecular weight. Vapor pressure is defined as
              operation. Structured packing generally has a higher ca-  the pressure at which a liquid and its vapor can coexist in
              pacity for vapor–liquid flow than dumped packing when  equilibrium at a particular temperature.
              compared under conditions of identical mass-transfer per-  The vapor pressure of a liquid mixture is given by the
              formance, but is usually more expensive. In general, pack-  sum of the partial pressures of the constituents. Raoult’s
              inghasalowerpressuredropthantrays,althoughitisoften  law is
              more expensive and less reliable in operation. Structured                  ◦
                                                                                  p i = p i x i            (1)
              packing has proven to be particularly advantageous in vac-
                                                                                                         ◦
              uum and air separation columns.                   where p i is the partial pressure of component i, p i the
                                                                vapor pressure of pure component i, and x i the mole frac-
                                                                tion of component i in the liquid. For a vapor mixture,
                                                                Dalton’slawis
                                                                                   p i = y i π             (2)
                                                                where y i is the mole fraction of component i in the va-
                                                                por, and π is the total pressure. Combining Raoult’s and
                                                                Dalton’s laws,













                      FIGURE 5 Single-pass distillation trays.           FIGURE 6 Multipass distillation trays.
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