Page 301 - Characterization and Properties of Petroleum Fractions - M.R. Riazi
P. 301

QC: —/—
               P2: KVU/KXT
  P1: KVU/KXT
            AT029-Manual
                        AT029-Manual-v7.cls
  AT029-06
                                                        20:46
                                           June 22, 2007
                                                         Pressure, PSIA
                                                                                      6 7 8 9 10,000
                                                                    6 7 8 9 1,000
                                                  67 8 9100
                                    10  T1: IML 30  6. THERMODYNAMIC RELATIONS FOR PROPERTY ESTIMATIONS 281          --`,```,`,``````,`,````,```,,-`-`,,`,,`,`,,`---
                                               4 50
                                                              300
                                                                 4 500
                                                                                3,000
                                                                                   4
                                                                              2
                                  10     2                  2                              10
                                   9                                       Plotted from 1947 tabulations of  9
                                   8                                       G. G. Brown, University of Michigan. 8
                                   7                                       Extrapolated and drawn by  7
                                   6                                       The Fluor Corp. Ltd. in 1957.  6
                                   5                                                       5
                                   4                                                       4
                                   3                                                       3
                                   2                                                       2
                                  1.0                                                      1.0
                                   9                                                       9
                                   8                      Temperature °F                   8
                                   7                        500                            7
                                   6                                                       6
                                   5                                                       5
                                   4                        450                            4
                                   3                        400                            3
                                   2                        380                            2
                                                            360
                                  0.1                       340                            0.1
                                                            320
                                   9                                                       9
                                   8                        300                            8
                                   7                                                       7
                                   6                        280                            6
                                   5                                                       5
                                   4                        260                            4
                              K =  y /x 3                   240                            3  K =  y /x
                                   2                        220                            2
                                  .01                       200                            .01
                                   9                        180                            9
                                   8                                                       8
                                   7                        160                            7
                                   6                                                       6
                                   5                                                       5
                                   4                        140                            4
                                   3                        120                            3
                                   2                        100                            2
                                  .001                      80                             .001
                                   9                                                       9
                                   8                                                       8
                                   7                        60                             7
                                   6                                                       6
                                   5                                                       5
                                   4                        40                             4
                                   3                                                       3
                                   2                        20                             2
                                                0                        0
                                 .0001                                                     .0001
                                   10    2  30  4 50  67 8 9 100  2  300  4 500  6 7 8 91,000  2  3,000  4  6 7 8 910,000
                                                      Pressure, PSIA              Nonane
                                                                          CONV. PRESS. 10,000 PSIA
                                                                                 ◦
                                FIG. 6.29—K i values of nonane. Unit conversion:  ◦ F = C × 1.8 + 32 psia =
                              14.504 × bar. Taken with permission from Ref. [28].
            temperature of the solution is reduced to 15 C, the solid phase  M 1 = 506.9 and M 2 = 100.2, from Eq. (1.15) we get x wi = 0.08,
                                               ◦
            begins to form.                                       which is equivalent to 0.807 g of n-C 36 in 100 g of n-C 7 .
            Solution—We have a binary system of component 1 (C 36 )  6.8.4 Freezing Point Depression and Boiling
            and component 2 (n-C 7 ). Component 1 is solute and com-
                                                                  Point Elevation
            ponent 2 is considered as solvent. From Table 6.10, M 2 =
                                    f
                                    2
            100.2, T M 2  = 182.57 K,  H /RT M 2  = 9.2557, M 1 = 506.95,  When a small amount of a pure solid (solute) is added to
                              f
                              1
            T M 1  = 349 K, and  H /RT M 1  = 30.6066. Assuming ideal so-  a solvent, the freezing point of solvent decreases while its
            lution we use Eq. (6.207) for calculation of x 1 at T = 288.2K:  boiling point increases. Upon addition of a solute (compo-
            x 1 = exp[30.6066(1 − 349/288.2)] = 0.0016. With respect to  nent 1) to a solvent (component 2) mole fraction of solvent







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