Page 296 - Characterization and Properties of Petroleum Fractions - M.R. Riazi
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                        AT029-Manual-v7.cls
                                           June 22, 2007
                                                        20:46
  AT029-06
            AT029-Manual
         276 CHARACTERIZATION AND PROPERTIES OF PETROLEUM FRACTIONS
                                                            300
                                                              4 500
                                          30
                                 10   T1: IML 4 50  6 7 8 9 100 Pressure, PSIA  6 7 8 9 1,000  2  3,000  4  6 7 8 9 10,000
                                                         2
                                       2
                               100                                                       100
                                 9                                                       9
                                 8                                                       8
                                 7                                                       7
                                 6                                                       6
                                 5                                                       5
                                 4                                                       4
                                 3                                                       3
                                 2                                                       2
                                10                                                       10
                                 9                                                       9
                                 8                                                       8
                                 7                                                       7
                                 6                                                       6
                                 5                                                       5
                                 4                      Temperature °F                   4
                                 3                       500                             3
                                 2                        450                            2
                                                          400
                                1.0                      300                             1.0
                                 9                                                       9
                                 8                                                       8
                                 7                                                       7
                                 6                                                       6
                                 5                        200                            5
                                 4                       180                             4
                           K =  y /x  3                  160                             3  K =  y /x
                                 2                       140                             2
                                                         120
                                0.1                      100                             0.1
                                9                        80                              9
                                8                                                        8
                                7                                                        7
                                6                        60                              6
                                5                                                        5
                                4                        40                              4
                                3                                                       3
                                                         20
                                2                                                        2
                                                         0
                               .01                                                      .01
                                9                        –20                             9
                                8                                                        8
                                7                                                        7
                                6                                                        6
                                5                        –40                             5
                                4                                                        4
                                3                                                        3
                                2                                                        2
                               .001                                                     .001
                                 10   2  30  4  50  6 7 8 9 100  2  300  4  500  67 8 9 1,000  2  3,000  4  67 8 9 10,000
                                                    Pressure, PSIA        i - Pentane
                                                                    CONV. PRESS. 10,000 PSIA
                             FIG. 6.24—K i values of i-pentane. Unit conversion:  ◦ F = C × 1.8 + 32 psia =
                                                                             ◦
                           14.504 × bar. Taken with permission from Ref. [28].
          To summarize methods of VLE calculations, recommended  above relation becomes
         methods for some special cases are given in Table 6.14 [37].
                                                                                    S
                                                              (6.205)              f = x i γ i f  L
                                                                                    i      i
         6.8.3 Solid–Liquid Equilibria—Solid Solubility                      S
                                                              by substituting f from Eq. (6.155) we get
                                                                            i
         Formulation of SLE is similar to that of VLE and it is made
         through Eq. (6.174) with equality of fugacity of i in solid and  1      H i f     T Mi      C Pi     T Mi
         liquid phases, where the relations for calculation of f ˆS  and  ln  γ i x i  =−  RT Mi  1 −  T  +  R  1 −  T
                                                      i
        f ˆL  are given in Section 6.6. To formulate solubility of a solid
         i
         in a liquid, the solid phase is assumed pure, f ˆS  = f , and the  (6.206)  +   C Pi  ln  T Mi
                                                   S
                                              i
                                                  i
                                                                                       T
                                                                                 R



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