Page 295 - Characterization and Properties of Petroleum Fractions - M.R. Riazi
P. 295

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                        AT029-Manual-v7.cls
                                                        20:46
            AT029-Manual
                                           June 22, 2007
  AT029-06
                                                       Pressure, PSIA
                                                   6 7 8 9 100
                                               4 50
                                    10  T1: IML 30  6. THERMODYNAMIC RELATIONS FOR PROPERTY ESTIMATIONS 275
                                                               300
                                                                 4 500
                                                                     6 7 8 9 1,000
                                                                                       6 7 8 9 10,000
                                                                                3,000
                                                                                    4
                                          2
                                                            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                      Temperature °F                  5
                                    4                        500                           4
                                    3                        450                           3
                                                             400
                                    2                        350                           2
                                                             300
                                   1.0                                                     1.0
                                    9                        200                           9
                                    8                                                      8
                                    7                        180                           7
                                    6                       160                            6
                                    5                        140                           5
                                    4                        120                           4
                               K =  y                                                        K =  y
                                  /x 3                       100                           3    /x
                                    2                        80                            2
                                                             60
                                   0.1                       40                            0.1
                                    9                                                      9
                                    8                                                      8
                                    7                        20                            7
                                    6                                                      6
                                    5                                                      5
                                                             0
                                    4                                                      4
                                    3                       –20                            3
                                    2                       –40                            2
                                   .01                                                     .01
                                    9                                                      9
                                    8                                                      8
                                    7                                                      7
                                    6                                                      6
                                    5                                                      5
                                    4                                                      4
                                    3                                                      3
                                    2                                                      2
                                  .001                                                     .001
                                    10    2  30  4 50  6 7 8 9 100  2  300  4 500  6 7 8 9 1,000  2  3,000  4  6 7 8 9 10,000
                                                        Pressure, PSIA       n - Butane
                                                                        CONV. PRESS. 10,000 PSIA
                                FIG. 6.23—K i values of n-butane. Unit conversion:  ◦ F = C × 1.8 + 32 psia =
                                                                                 ◦
                              14.504 × bar. Taken with permission from Ref. [28].
                                                                           L
                                                                                                 3
            be calculated from its density. Substituting SG = 0.5063 and  we have V = 550/0.9123 = 602.9cm /mol. To calculate γ 1
                                                                          2
            T = 298 K in Eq. (5.127) gives density at 25 C as 0.493 g/cm 3  from Eq. (6.145), x 1 is required. The initial value of x 1 is
                                                ◦
                                                         3
                                   L
            and the molar volume is V = 44.1/0.493 = 89.45 cm /mol.  calculated through Eq. (6.191) assuming γ 1 = 1. Since T r >
                                  1
                                               3
                                    L
            Similarly at 134 Cweget V = 128.7cm /mol. Value of δ  1, the value of f  L  is calculated through Eqs. (6.189) and
                          ◦
                                    1                                           1
                                                                           L
                                                     3 1/2
            for C 3 is given in Table 6.10 as δ = 13.9 (J/cm )  . From  (6.190) as f = 51.13 bar. Finally, the value of γ 1 is calculated
                                                                           1
            Eq. (4.7) and coefficients in Table 4.5 for oil of M = 550, we  as 1.285, which gives x 1 = 0.94 × 10/(1.285 × 51.13) = 0.144. --`,```,`,``````,`,````,```,,-`-`,,`,,`,`,,`---
                                                 3 1/2
                             3
            get d 20 = 0.9234 g/cm and δ 2 = 8.342 (cal/cm )  . These val-  Thus, K 1 = 1/0.144 = 6.9. To calculate K 1 from the Stand-
            ues are very approximate as oil is assumed as a single carbon  ing method, Eq. (6.202) should be used. From Table 6.13 for
            number. Density is corrected to 25 C through Eq. (2.115) as  propane, b = 999.4 K and T B = 231.1 K, and from Eq. (6.202)
                                         ◦
                           3
            d 25 = 0.9123 g/cm . Thus at 298 K for component 2 (solvent)  at 407 K and 10 bar, a = 0.1069, c = 0.8646, and K 1 = 5.3.
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