Page 73 - Separation process principles 2
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38  Chapter 2  Thermodynamics of Separation Operations
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                    4,000
                    2,000
                           0 Critical  points
                    1.000
                                            Carbon dioxide
                     600
                     400

                  .-   200
                  u
                  *  100
                  .   60
                  2
                      40
                  V)
                  2   20
                  a
                  L
                  g   10
                  5    6
                       4
                       2
                       1
                      0.6
                      0.4
                      0.2

                      0.1
                      -1                                                                                             0
                                                                 Temperature, "F
                 Figure 2.4  Vapor pressure as a function of temperature.
                 [Adapted from A.S. Faust, L.A. Wenzel, C.W. Clump, L. Maus, and L.B. Andersen, Principles  of  Unit Operations, John Wiley and Sons,
                 New York (1960).]




                 and  simulation  programs,  such  as  Aspen  Plus,  HYSYS,
                 ChemCad, and Pro/II.  However, plots of properties can best
                 show effects of  temperature and  pressure. Some represen-
                 tative plots, which are readily generated by  simulation pro-
                 grams, are shown in this section.
                    Saturated liquid densities as a function of temperature are
                 plotted for some hydrocarbons in Figure 2.3. The density de-
                 creases  rapidly  as  the  critical  temperature is  approached
                 until it becomes equal to the density of the vapor phase at the
                 critical point. The liquid density curves are well correlated
                 by the modified Rackett equation (2-38).
                   Figure 2.4 is a plot  of  liquid-state vapor pressures for
                 some common chemicals, covering a wide range of temper-
                 ature from below  the  normal boiling  point  to  the  critical
                 temperature,  where  the  vapor  pressure  terminates  at  the
                 critical pressure. In general, the curves are found to fit the
                 extended Antoine equation (2-39) reasonably well. This plot
                 is useful for determining the phase state (liquid or vapor) of
                 a pure substance and for estimating Raoult's law K-values
                 from (2-44) [or (3) in Table 2.31.
                   Curves of  ideal-gas, zero-pressure enthalpy over a wide   -300   -100   loo   300   500   700   goo
                 range of temperature are given in Figure 2.5 for light-paraffin      Temperature, "F
                 hydrocarbons. The datum is the liquid phase at O°C, at which   Figure 2.5  Ideal-gas-state enthalpy of pure components.
                 the  enthal~~ zero.  The  derivatives of  these  curves  f t   [Adapted from Engineering Data Book, 9th ed., Gas Processors Suppliers
                            is
                 the fourth-degree polynomial (2-35) for the ideal-gas heat   Association, Tulsa (1972).]
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