Page 303 - Characterization and Properties of Petroleum Fractions - M.R. Riazi
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                        AT029-Manual-v7.cls
                                                        20:46
            AT029-Manual
  AT029-06
                                           June 22, 2007
                                                        Pressure, PSIA
                                                                                       67 8 9 10,000
                                                                     6 78 9 1,000
                                                                  4 500
                                               4 50
                                    10  T1: IML  30  6. THERMODYNAMIC RELATIONS FOR PROPERTY ESTIMATIONS 283
                                                               300
                                                   67 8 9100
                                                                                    4
                                                                                 3,000
                                                                               2
                                          2
                                                            2
                                 1,000
                                    9                                                       9
                                    8                                         References:   8
                                    7                                         1. Petrol, Trans. AIME 198 226 (1953)  7
                                    6                                                       6
                                                                              2. Petrol, Trans. AIME 195 99 (1952)
                                    5                                                       5
                                                                              3. C.E.P. Phase Equilibria Symposium
                                    4                                              Vol. 48 No. 2P. 121 (1952)  4
                                                                              4. I. & E.C. 30 534 (1946)
                                    3                                                       3
                                    2                                                       2
                                  100
                                    9                                                       9
                                    8                                                       8
                                    7                                                       7
                                    6                                                       6
                                    5                                                       5
                                    4                                                       4
                                    3                                                       3
                                    2
                                                                                            2
                                   10                   Temperatur, °F
                                                         500
                                    9                     400                               9
                                    8                                                       8
                                    7                     300                               7
                                    6                                                       6
                                    5                     200                               5
                                                           250
                                    4                    150                                4
                              K =  y /x  3             60 100                               3 K =  y /x
                                    2                                                       2
                                   1.0
                                    9                                                       9
                                    8                                                       8
                                    7                                                       7
                                    6                                                       6
                                    5                                                       5
                                    4                                                       4
                                    3                                                       3
                                    2                                                       2
                                   0.1
                                    9                                                       9
                                    8                                                       8
                                    7                                                       7
                                    6                                                       6
                                    5                                                       5
                                    4                                                       4
                                    3                                                       3
                                    2                                                       2
                                  0.01
                                    10    2  30  4 50  67 8 9100  2  300  4 500 6 7 8 9 1,000  2  3,000  4  6 7 8 9 10,000
                                                                          Hydrogen Sulfide
                                                       Pressure, PSIA
                                                                          CONV. PRESS. 3000 PSIA
                               FIG. 6.31—K i values of hydrogen sulfide. Unit conversion:  ◦ F = C × 1.8 +
                                                                                         ◦
                              32 psia = 14.504 × bar. Taken with permission from Ref. [28].
            x 1 (= 1 − x 2 ), which is very small (x 1   1), and from a math-  approximate but it is quite useful for calculation of freezing
            ematical approximation we have                        point depression for hydrocarbon systems. For nonideal so-
                                                                  lutions, Eq. (6.211) must be used by replacing x 2 with γ 2 x 2 ,
            (6.212)           ln (1 − x 1) ≈−x 1
                                                                  where γ 2 is a function of x 2 .
            Therefore, Eq. (6.211) can be solved to find  T M2 [43]:  By similar analysis from VLE relation for ideal solutions it
                                     x 1 RT 2                     can be shown that boiling point elevation may be estimated --`,```,`,``````,`,````,```,,-`-`,,`,,`,`,,`---
            (6.213)            T M2 =    M2                       from the following simplified relation [43]:
                                   ∼
                                       H  f
                                         2
                                                                                               2
            In deriving this equation since the change in the freezing point  (6.214)    ∼  x 1 RT B2
                                           2
            is small, TT M2 is approximated by T . Equation (6.213) is               T b2 =   H vap
                                           M2                                                 2
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