Page 253 - Characterization and Properties of Petroleum Fractions - M.R. Riazi
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QC: —/—
               P2: KVU/KXT
  P1: KVU/KXT
                                                        20:46
                                           June 22, 2007
                        AT029-Manual-v7.cls
            AT029-Manual
  AT029-06
                  Specific gravity of gas fluid (pure or mixture)
                                                                                                  −10
             SG
                g
                                                                        Molecular size parameter, ˚ A (10
                                                                                                     m)
                                                                     σ
                  [= M /29], dimensionless T1: IML  6. THERMODYNAMIC RELATIONS FOR PROPERTY ESTIMATIONS 233
                       g
                                                                     ω Acentric factor defined by Eq. (2.10)
              SG Specific gravity of liquid substance at 15.5 C (60 F)  ξ  Packing fraction defined by Eq. (5.86),
                                                      ◦
                                                           ◦
                  defined by Eq. (2.2), dimensionless                    dimensionless
               T  Absolute temperature, K                            κ  Isothermal compressibility defined by Eq. (6.25),
               T c  Critical temperature, K                             bar −1
               T r  Reduced temperature defined by Eq. (5.100)        η  Joule–Thomson coefficient defined by Eq. (6.27),
                  (= T/T c ), dimensionless                             K/bar
               T B  A parameter in the Standing correlation          γ  Heat capacity ratio (= C P /C V ), dimensionless
                  (Eq. 6. 202), K                                    γ i  Activity coefficient of component i in liquid solution
              T M  Freezing (melting) point for a pure component at     defined by Eq. (6.112), dimensionless
                  1.013 bar, K                                      γ 1 S  Activity coefficient of a solid solute (component 1) in
                  Triple point temperature, K
              T tp                                                      the liquid solution defined by Eq. (6.161), dimension-
                                 3
               V  Molar volume, cm /gmol                                less
                                               3
              V L  Saturated liquid molar volume, cm /gmol          γ i ∞  Activity coefficient of component i in liquid solution
                                           3
             V sat  Saturation molar volume, cm /gmol                   at infinite dilution (x i → 0), dimensionless
                                               3
              V V  Saturated vapor molar volume, cm /gmol            ˆ μ i  Chemical potential of component i defined in
                                         3
                  Critical volume (molar), cm /mol (or critical specific
               V c                                                      Eq. (6.115)
                            3
                  volume, cm /g)                                   C Pi  Difference between heat capacity of liquid and solid
                                                                                                   S
                  Reduced volume (= V/V c )                             for pure component i (= C L  − C ), J/mol · K
               V r                                                                            Pi   Pi
                                              3
                                        ◦
              V 25  Liquid molar volume at 25 C, cm /mol            H i f  Heat of fusion (or latent heat of melting) for pure
               x i  Mole fraction of component i in a mixture (usually  component i at the freezing point and 1.013 bar,
                  used for liquids), dimensionless                      J/mol
              x wi  Weight fraction of component i in a mixture (usually   H vap  Heat of vaporization (or latent heat of vaporization)
                  used for liquids), dimensionless                      at 1.013 bar defined by Eq. (6.98), J/mol
               y i  Mole fraction of i in mixture (usually used for gases),   H mix  Heat of mixing. J/mol
                  dimensionless                                     M Property change for M due to mixing defined by
               Z  Compressibility factor defined by Eq. (5.15),          Eq. (6.84)
                  dimensionless                                     S i f  Entropy of fusion for pure component i at the freezing
              Z L  Compressibility factor of liquid phase,              point and 1.013 bar, J/mol · K
                  dimensionless                                    S vap  Entropy of vaporization at 1.013 bar defined by
              Z V  Compressibility factor of vapor phase, dimensionless  Eq. (6.97), J/mol
                                                                        Boiling point elevation for solvent 2 (Eq. 6.214), K
                                                                   T b2
                                                                        Freezing point depression for solvent 2
                                                                   T M 2
            Greek Letters                                               (Eq. 6.213), K
               α  Parameter defined by Eq. (5.41), dimensionless    V mix  Volume change due to mixing defined by Eq. (6.86)
            α S , β S  Parameters defined based on velocity of sound for
                  correction of EOS parameters a and b defined by  Superscript
                  Eq. (6.242), dimensionless
               β  Coefficient of thermal expansion defined by          E Excess property defined for mixtures (with respect to
                  Eq. (6.24), K .                                       ideal solution)
                             −1
                 Difference between two values of a parameter      exp Experimental value
               δ i  Solubility parameter for i defined in Eq. (6.147),  HS Value of a property for hard sphere molecules
                       3 1/2
                  (J/cm )                                            ig Value of a property for a component as ideal gas at
               δ i  Parameter used in Eq. (6.126), dimensionless        temperature T and P → 0
               δ ij  Parameter defined in Eq. (5.70)                  id Value of a property for an ideal solution
                ε  Energy parameter in a potential energy function   L Value of a property for liquid phase
                ε  Error parameter defined by Eq. (106), dimensionless  R A residual property (with respect to ideal gas
                  Volume fraction of i in a liquid mixture defined by    property)
                 i
                  Eq. (6.146)                                        V Value of a property for vapor phase
               φ  Fugacity coefficient of pure i at T and P defined by  vap Change in value of a property due to vaporization
                  Eq. (6.49), dimensionless                          S Value of a property for solid phase
                  Fugacity coefficient of component i at T and P in an  sat Value of a property at saturation pressure
               φ i
                  ideal solution mixture, dimensionless               t Value of a property for the whole (total) system
               ˆ φ i  Fugacity coefficient of component i in a mixture at T  [] (0)  A dimensionless term in a generalized correlation for
                  and P defined by Eq. (6.110)                           a property of simple fluids
                θ  A parameter defined in Eq. (6.203), dimensionless  [] (1)  A dimensionless term in a generalized correlation for
               ρ  Density at a given temperature and pressure, g/cm 3   a property of acentric fluids
                                      3
                  (molar density unit: cm /mol)                    [] (r)  A dimensionless term in a generalized correlation for
               σ  Diameter of hard sphere molecule, ˚ A (10 −10  m)     a property of reference fluids
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