Page 297 - Characterization and Properties of Petroleum Fractions - M.R. Riazi
P. 297

QC: —/—
               P2: KVU/KXT
  P1: KVU/KXT
  AT029-06
                        AT029-Manual-v7.cls
            AT029-Manual
                                                        20:46
                                           June 22, 2007
                                                       Pressure, PSIA
                                                  67 8 9 100
                                                                                       6 7 8 9 10,000
                                                                     67 8 9 1,000
                                               4 50
                                    10  T1: IML 30  6. THERMODYNAMIC RELATIONS FOR PROPERTY ESTIMATIONS 277
                                                                 4 500
                                                                                3,000
                                                              300
                                                                              2
                                                                                    4
                                  100    2                  2                              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                                                        4
                                   3                         Temperature °F                 3
                                    2                         500                           2
                                                              450
                                                              400
                                  1.0                                                       1.0
                                   9                          300                           9
                                   8                          280                           8
                                   7                                                        7
                                   6                          260                           6
                                   5                          240                           5
                                   4                          220                           4  y
                              K =  y /x 3                     200                           3  K =   /x
                                                              180
                                   2                          160                           2
                                                              140
                                  0.1                         120                           0.1
                                   9                          100                           9
                                   8                                                        8
                                   7                                                        7
                                   6                          80                            6
                                   5                                                        5
                                                              60
                                   4                                                        4
                                   3                          40                            3
                                   2                                                        2
                                                              20
                                  .01                          0                            .01
                                    9                                                       9
                                    8                                                       8
                                    7                                                       7
                                    6                         –20                           6
                                    5                                                       5
                                    4                                                       4
                                                              –40
                                    3                                                       3
                                    2                                                       2
                                  .001                                                      .001
                                    10    2  30  4 50  67 8 9 100  2  300  4 500  67 8 9 1,000  2  3,000  4  6 7 8 9 10,000
                                                        Pressure, PSIA        n - Pentane
                                                                        CONV. PRESS. 10,000 PSIA
                                FIG. 6.25—K i values of n-pentane. Unit conversion: F = C × 1.8 + 32 psia =
                                                                                 ◦
                                                                            ◦
                              14.504 × bar. Taken with permission from Ref. [28].
            It should be noted that this equation can be used to calculate  The above equation provides a quick way of calculating sol-
            solubility of a pure solid into a solvent. γ i (a function of x i ) can  ubility of a solid into a solvent where chemical nature of so-
            be calculated from methods given in Section 6.6.6 and x i must  lute is similar to that of solvent; therefore, only properties of
                                                                                                               f
            be found by trial-and-error procedure with initial value of x 1  solute are needed. Calculation of heat of fusion ( H ) was
                                                                                                              i
            calculated at γ i = 1.0. However, for ideal solutions where γ i  discussed in Section 6.6.6 and calculation of freezing point
            is equal to unity the above equation can be used to calculate  (T Mi ) was discussed in Section 2.6.4. Solubility of naphthalene
            solubility directly. Since actual values of  C Pi /R are gener-  in several hydrocarbons is given in Ref. [43]. At 20 C mole
                                                                                                             ◦
            ally small (see Fig. 6.11) with a fair approximation the above  fraction of solid naphthalene in solvents hexane, benzene,
            relation for ideal solutions can be simplified as [17, 21, 43]  and toluene is 0.09, 0.241, and 0.224, respectively. Naphtha-
                                   H       T Mi
                                     f                            lene (aromatics) has higher solubility in benzene and toluene
            (6.207)       x i = exp  i  1 −                       (also aromatics) than in hexane (a paraffinic). Naphthalene
                                  RT Mi     T

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