Page 334 - Characterization and Properties of Petroleum Fractions - M.R. Riazi
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         314 CHARACTERIZATION AND PROPERTIES OF PETROLEUM FRACTIONS
                                                 ASTM 10% Slope





                                  True Vapor Pressure, psia    Reid Vapor Pressure, psi  Temperature, F


















                                                    True Vapor Pressure of
                                                    Gasolines and Finished
                                                      Petroleum Products







                                   FIG. 7.10—True vapor pressure of petroleum products from RVP.
                                 Unit conversion:  ◦ F = ( C) × 1.8 + 32; psia = bar × 14.504. Taken
                                                     ◦
                                 with permission from Ref. [9].
         Fig. 7.10 should be experimental rather than estimated from  coefficients are given as A 1 = 7.78511307, A 2 =−1.08100387,
         methods of Section 3.6.1.1. If no experimental data on RVP  A 3 = 0.05319502, A 4 =0.00451316, B 1 =− 5756.8562305, B 2 =
         are available the TVP should be calculated directly from meth-  1104.41248797, and B 3 =−0.00068023. There is no in-
         ods discussed in Sections 7.3.2 and 7.3.3.1.         formation on reliability of these methods. Figures 7.10 and
          For computer applications, analytical correlations have  7.11 or Eq. (7.26) are particularly useful in obtaining values
         been developed from these two figures for calculation of vapor  of vapor pressure of products and crude oils needed in esti-
         pressure of petroleum products and crude oils from RVP data  mation of hydrocarbon losses from storage tanks [20].
         [9]. For petroleum products, Fig. 7.10 has been presented by
         a complex correlation with 15 constants in terms of RVP and
         slope of ASTM D 86 curve at 10%. Similarly for crude oils the  7.3.4 Vapor Pressure of Solids
         mathematical relation developed based on Fig. 7.11 is given  Figure 5.2a shows the equilibrium curve between solid and
         as [9]                                               vapor phases, which is known as a sublimation curve. In fact,
                                                              at pressures below triple point pressure (P < P tp ), a solid di-
                ln P vap  = A 1 + A 2 ln(RVP) + A 3 (RVP) + A 4 T  rectly vaporizes without going through the liquid phase. This
              --`,```,`,``````,`,````,```,,-`-`,,`,,`,`,,`---
                          B 1 + B 2 ln(RVP) + B 3 (RVP)
                                                4             type of vaporization is called sublimation and the enthalpy
        (7.26)          +                                     change is called heat of sublimation ( H sub ). For ice, heat
                                     T
                                                              of sublimation is about 50.97 kJ/mol. Through phase equilib-
         where P vap  and RVP are in psia, T is in R. Ranges of appli-  rium analysis similar to the analysis made for VLE of pure
                                          ◦
         cation are 0F < T( F) < 140F and 2 psi < RVP < 15 psi. The  substances in Section 6.5 and beginning with Eq. (6.96) for
                        ◦












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