Page 217 - Characterization and Properties of Petroleum Fractions - M.R. Riazi

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AT029-Manual
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AT029-05
AT029-Manual-v7.cls
August 16, 2007
5
PVT Relations and Equations MNL50-EB/May 2007
of State

NOMENCLATURE T c Critical temperature, K
Cricondentherm temperature, K
T cric
API API Gravity defined in Eq. (2.4) T r Reduced temperature defined by Eq. (5.100)
A, B, C, . . . Coefficients in various equations (=T/T c ), dimensionless
3
a c Parameter defined in Eq. (5.41) and given in V Molar volume, cm /gmol
3
Table 5.1 V L Saturated liquid molar volume, cm /gmol
3
a, b, c, . . . Constants in various equations V sat Saturation molar volume, cm /gmol
3
B Second virial coefficient V V Saturated vapor molar volume, cm /gmol
3
C Third virial coefficient V c Critical volume (molar), cm /mol (or critical
3
3
c Volume translation for use in Eq. (5.50), cm /mol specific volume, cm /g)
Liquid density of liquid at 20 C and 1 atm, g/cm 3 Reduced volume (= V/V c )
◦
d 20 V r
Critical density defined by Eq. (2.9), g/cm 3 Mole fraction of i in a mixture (usually used
d c x i
e Correlation parameter, exponential function for liquids)
exp Exponential function y i Mole fraction of i in a mixture (usually used
F Degrees of freedom in Eq. (5.4) for gases)
A function defined in terms of ω for parameter Z Compressibility factor defined by Eq. (5.15)
f ω
a in PR and SRK equations as given in Table 5.1 Z c Critical compressibility factor defined by
and Eq. (5.53) Eq. (2.8), dimensionless
h Parameter defined in Eq. (5.99), dimensionless Z RA Rackett parameter, dimensionless
k B Boltzman constant (= R/N A = 1.2 × 10 −20 J/K) z j Mole fraction of i in a mixture
k ij Binary interaction parameter (BIP), Z 1 , Z 2 , and Z 3 Roots of a cubic equation of state
dimensionless
I Refractive index parameter defined in Eq. (2.36)
M Molecular weight, g/mol [kg/kmol] Greek Letters
m Mass of system, g
N A Avogadro number = number of molecules in one α Parameter defined by Eq. (5.41), dimension-
−1
mole (6.022 × 10 23 mol ) less
N Number of components in a mixture α Polarizability factor defined by Eq. (5.134),
n Number of moles cm 3
◦
n 20 Sodium D line refractive index of liquid at 20 C α, γ Parameters in BWR EOS defined by Eq.
and 1 atm, dimensionless (5.89)
P Pressure, bar β A correction factor for bparameter in an EOS
P sat Saturation pressure, bar defined by Eq. (5.55), dimensionless
P c Critical pressure, bar Difference between two values of a parameter
Reduced pressure defined by Eq. (5.100) Parameter defined in Eq. (5.70), dimension-
P r δ ij
(= P/P c ), dimensionless less
R Gas constant = 8.314 J/mol · K (values are given ε Energy parameter in a potential energy func-
in Section 1.7.24) tion
3
Molar refraction defined by Eq. (5.133), cm /mol Potential energy function defined by Eq.
R m
r Reduced molar refraction defined by Eq. (5.129), (5.10)
dimensionless φ i Volume fraction of i in a liquid mixture de- --`,```,`,``````,`,````,```,,-`-`,,`,,`,`,,`---
r Intermolecular distance in Eqs. (5.10)–(5.12), fined by Eq. (5.125)
˚ A (10 −10 m) Number of phases defined in Eq. (5.4)
r A parameter specific for each substance in μ Dipole moment in Eq. (5.134)
Eq. (5.98), dimensionless θ A property in Eq. (5.1), such as volume, en-
u 1 , u 2 Parameters in Eqs. (5.40) and (5.42) thalpy, etc.
SG Specific gravity of liquid substance at 15.5 C θ Degrees in Eq. (5.47)
◦
(60 F) defined by Eq. (2.2), dimensionless ρ Density at a given temperature and pressure,
◦
3
T Absolute temperature, K g/cm (molar density unit: cm /mol)
3
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