Page 252 - Characterization and Properties of Petroleum Fractions - M.R. Riazi

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AT029-Manual
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AT029-06
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Thermodynamic Relations MNL50-EB/May 2007
for Property Estimations

NOMENCLATURE K i Equilibrium ratio in vapor–liquid equilibria
(K i = y i /x i ) defined in Eq. (6.196), dimensionless
A Helmholtz free energy defined in Eq. (6.7), J/mol K SL Equilibrium ratio in solid–liquid equilibria
i
L
S
API API gravity defined in Eq. (2.4) (K SL = x /x ) defined in Eq. (6.208),
i
i
i
A, B, C, ... Coefficients in various equations dimensionless
a, b Cubic EOS parameters given in Table 5.1 K W Watson characterization factor defined by
a c Parameter defined in Eq. (5.41) and given in Eq. (2.13)
Table 5.1 k B Boltzman constant (= R/N A = 1.381 × 10 −23 J/K)
a i Activity of component i defined in Eq. (6.111), k i Henry’s law constant defined by Eq. (6.184),
dimensionless bar
a, b, c, ... Constants in various equations k i,M Henry’s law constant of component i in a
b A parameter defined in the Standing correlation, multicomponent solvent, bar
Eq. (6.202), K k ij Binary interaction parameter (BIP),
3
B Second virial coefficient, cm /mol dimensionless
B , B First- and second-order derivatives of second M A molar property of system (i.e., S, V, H, S, G, ...)

id
virial coefficient with respect to temperature M E Excess property (= M − M )
3
t
C Third virial coefficient, (cm /mol) 2 M t Total property of system (= n M)
C , C First- and second-order derivatives of third virial ¯ M i Partial molar property for M defined by

coefficient with respect to temperature Eq. (6.78)
c Velocity of sound, m/s M Molecular weight, g/mol [kg/kmol]
c PR Velocity of sound calculated from PR EOS M g Gas molecular weight, g/mol [kg/kmol]
C P Heat capacity at constant pressure defined by N A Avogadro number = number of molecules in
−1
Eq. (6.17), J/mol · K 1 mol (6.022 × 10 23 mol )
C V Heat capacity at constant volume defined by N Number of components in a mixture
Eq. (6.18), J/mol · K N C Number of carbon atoms in a hydrocarbon
◦
d 20 Liquid density at 20 C and 1 atm, g/cm 3 compound
F(x, y) A mathematical function of independent n Number of moles (g/molecular wt), mol
variables x and y. n i Number of moles of component i in a mixture,
f Fugacity of a pure component defined by mol
Eq. (6.45), bar P Pressure, bar
ˆ sat
f i Fugacity of component i in a mixture defined by P Saturation pressure, bar
Eq. (6.109), bar P a Atmospheric pressure, bar
f i ◦L Fugacity of pure liquid i at standard pressure P c Critical pressure, bar
(1.01 bar) and temperature T, bar P r Reduced pressure defined by Eq. (5.100)
f i S Fugacity of pure solid i at P and T (Eq. 6.155), (= P/P c ), dimensionless
bar P sub Sublimation pressure, bar
f ◦L Fugacity of pure hypothetical liquid at P 1 , P 2 , P 3 Derivative parameters defined in Table 6.1
temperature T (T > T c ), bar Q rev Heat transferred to the system by a reversible
f ◦L Reduced fugacity of pure hypothetical liquid at process, J/mol
r
temperature T (= f oL /P c ), dimensionless R Gas constant = 8.314 J/mol · K (values in
A function defined in terms of ω for parameter a different units are given in Section 1.7.24)
f ω
in the PR and SRK equations as given in RC An objective function defined in Eq. (6.237)
Table 5.1 and Eq. (5.53) U Molar internal energy, J/mol
G Molar Gibbs free energy defined in Eq. (6.6), u 1 , u 2 Parameters in Eqs. (5.40) and (5.42) as given in
J/mol Table 5.1 for a cubic EOS
3
ig
G R Molar residual Gibbs energy (= G − G ), V i L Liquid molar volume, cm /mol
J/mol S Molar entropy defined by Eq. (6.2), J/mol · K --`,```,`,``````,`,````,```,,-`-`,,`,,`,`,,`---
H Molar enthalpy defined in Eq. (6.1), J/mol S Shrinkage factor defined by Eq. (6.95),
CH Carbon-to-hydrogen weight ratio dimensionless
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