Page 335 - Characterization and Properties of Petroleum Fractions - M.R. Riazi
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P2: IML/FFX
                           QC: IML/FFX
  P1: IML/FFX
            AT029-Manual
                                           June 22, 2007
  AT029-07
                        AT029-Manual-v7.cls
                                           7. APPLICATIONS: ESTIMATION OF THERMOPHYSICAL PROPERTIES 315






                                     True Vapor Pressure, psia  T1: IML  17:40 Reid Vapor Pressure, psig  Temperature, F















                                                         Figure 5B1.2
                                                      True Vapor Pressure
                                                             of
                                                          Crude Oils






                                     FIG. 7.11—True vapor pressure of crude oils from RVP. Unit conversion:
                                        ◦
                                   ◦ F = ( C) × 1.8 + 32; psia = bar × 14.504. Taken with permission from
                                   Ref. [9].
            vapor–solid equilibria (VSE) one can derive a relation similar  as the temperature variation along the sublimation curve is
            to Eq. (6.101) for estimation of vapor pressure of solids:  limited. In addition it is assumed that  V sub  = V vap  − V =
                                                                                                                 s ∼
                                                                                                      S
                                                                                                           V
                                          B                       RT/P sub . This assumption is reasonable as V   V and P sub
            (7.27)            ln P sub  = A −                     is very small so that the vapor is considered as an ideal gas.
                                          T
                                                                  In fact accuracy of Eq. (7.27) is more than Eq. (6.101) be-
            where P sub  is the vapor pressure of a pure solid also known as  cause the assumptions made in derivation of this equation
            sublimation pressure and A and B are two constants specific  are more realistic. The relations for sublimation pressure of
            for each compound. Values of P sub  are less than P tp and one  naphthalene is given as [21]
            base point to obtain constant A is the triple point (T tp , P tp ).
            Values of T tp and P tp for some selected compounds are given in  ln P sub  (bar) = 8.722 −  3783
            Table 7.1. If a value of saturation pressure (P 1 sub ) at a reference    T
            temperature of T 1 is known it can be used along with the triple  (7.29)   (T in kelvin) for solid naphthalene
            point to obtain A and B in Eq. (7.27) as follows:     Vapor pressures of solid CO 2 are given at several tempera-
                                                                  tures as: 9.81 torr (at −120 C), 34.63 (−110), 104.81 (−100),

                                                                                        ◦
                                 ln  P tp
                                     P  sub                       279.5 (−90) where the pressures are in mm Hg (torr) (1 bar =
                                      1
                             B =   1   1                          750.06 mm Hg) and the numbers in the parentheses are the
            (7.28)                T 1  −  T tp
                                                                  corresponding temperatures in C as given by Levine [22].
                                                                                             ◦
                                           B                      Linear regression of ln P sub  versus 1/T gives constants A and


                              A = ln P 1 sub  +                   B in Eq. (7.27) as
                                          T 1
            where T tp and T 1 are in kelvin. Parameter B is equivalent to  ln P sub  (bar) = 16.117 −  3131.97  (T in kelvin) for solid CO 2
             H sub /R. In deriving this equation, it is assumed that  H sub  is         T
            constant with temperature. This assumption can be justified  (7.30)








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