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2.2.3. Phase Envelopes (or Isopleths) of Binary Systems

               A phase envelope (or isopleths or P-T contour plot) is the P-T projection of the phase diagram of a
               multicomponent system of fixed composition. It is made up of two parts: (1) the bubble curve and
               (2) the dew curve. These two curves join at a critical point characterized by a critical composition
               equal to the composition at which the phase envelope is plotted. Fig. 2.8 illustrates the construction

               of the phase envelope of a binary system of composition z     =    0.5.
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                 Fig. 2.8A shows a series of isothermal Pxy projections from low to high temperatures. At the

               composition z     =    0.5 (see the vertical line) and for a selected temperature T, it is possible to
                            1
               read in panel (A) the corresponding bubble-point pressure (P  bubble , symbol: circles) and dew-point
               pressure (P  dew , symbol: squares). By changing the temperature T at the same composition z  , new
                                                                                                   1
               values of P  bubble  and P  dew  are obtained. By reporting the points, the coordinates of which are (P

                    , T) and (P   , T) in a P-T plane, one obtains the phase envelope of the binary system at z     =
               bubble         dew                                                                    1
                  0.5 (see panel B) made up of a bubble and a dew curve. The phase envelope of a mixture of known
               composition has generally a loop shape and is rather simply interpreted as for a temperature and a
               pressure defining a point inside the loop, the mixture is in a VLE state. Outside the loop, a mixture
               located above the bubble curve is in a 1-phase liquid state, whereas a mixture located below the
               dew curve is in a 1-phase gaseous state.























































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