Aspen Physical Property System - Physical Property Models

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= ai bi kij = kji = = ; ; The parameter ai is calculated according to the standard Soave formulation (see Soave Alpha Functions, equations 1, 2, 3, 5, and 6). Note: You can choose any of the available alpha functions, but you cannot define multiple property methods based on this model using different alpha functions within the same run. The model uses option codes which are described in Soave-Redlich-Kwong Option Codes. For best results, binary parameters kij must be determined from phaseequilibrium data regression (for example, VLE data). The Aspen Physical Property System also has built-in kij for a large number of component pairs in the EOS-LIT databank from Knapp et al. These binary parameters are used automatically with the RK-SOAVE property method. Values of kij in the databank can be different than those used with other models such as Soave- Redlich-Kwong or Standard Peng-Robinson, and this can produce different results. Parameter Name/Element 54 2 Thermodynamic Property Models Symbol Default MDS Lower Limit Upper Limit Units TCRKSS T ci TC x 5.0 2000.0 TEMPERATURE PCRKSS p ci PC x 10 5 OMRKSS � i RKSKBV/1 k ij (1) RKSKBV/2 k ij (2) RKSKBV/3 k ij (3) 10 8 OMEGA x -0.5 2.0 — 0 x -5.0 5.0 — PRESSURE 0 x — — TEMPERATURE 0 x — — TEMPERATURE RKSKBV/4 T k,lower 0 x — — TEMPERATURE RKSKBV/5 T k,upper 1000 x — — TEMPERATURE RKSLBV/1 l ij (1) RKSLBV/2 l ij (2) RKSLBV/3 l ij (3) 0 x — — — 0 x — — TEMPERATURE 0 x — — TEMPERATURE RKSLBV/4 T l,lower 0 x — — TEMPERATURE RKSLBV/5 T l,upper 1000 x — — TEMPERATURE References G. Soave, "Equilibrium Constants for Modified Redlich-Kwong Equation-ofstate," Chem. Eng. Sci., Vol. 27, (1972), pp. 1196 – 1203.
J. Schwartzentruber and H. Renon, "Extension of UNIFAC to High Pressures and Temperatures by the Use of a Cubic Equation-of-state," Ind. Eng. Chem. Res., Vol. 28, (1989), pp. 1049 – 1955. A. Peneloux, E. Rauzy, and R. Freze, "A Consistent Correction For Redlich- Kwong-Soave Volumes", Fluid Phase Eq., Vol. 8, (1982), pp. 7–23. H. Knapp, R. Döring, L. Oellrich, U. Plöcker, and J. M. Prausnitz. "Vapor-Liquid Equilibria for Mixtures of Low Boiling Substances." Dechema Chemistry Data Series, Vol. VI. Redlich-Kwong-Soave-Boston-Mathias The Redlich-Kwong-Soave-Boston-Mathias equation-of-state is the basis for the RKS-BM property method. It is the Redlich-Kwong-Soave equation-ofstate with the Boston-Mathias alpha function (see Soave Alpha Functions). It is recommended for hydrocarbon processing applications, such as gasprocessing, refinery, and petrochemical processes. Its results are comparable to those of the Peng-Robinson-Boston-Mathias equation-of-state. Note: You can choose any of the available alpha functions, but you cannot define multiple property methods based on this model using different alpha functions within the same run. The equation is: p = Where: a0 is the standard quadratic mixing term: a1 is an additional, asymmetric (polar) term: b = ai bi = = kij = kji 2 Thermodynamic Property Models 55
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Aspen Physical Property System Phys
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Contents Contents..................
Page 5 and 6: General Pure Component Solid Molar
Page 7 and 8: 1 Introduction This manual describe
Page 9 and 10: Pure Component Temperature- Depende
Page 11 and 12: the Properties Parameters Pure-Comp
Page 13 and 14: 2 Thermodynamic Property Models Thi
Page 15 and 16: Property Model Model Name Phase(s)P
Page 17 and 18: Property Model Model Name 2 Thermod
Page 19 and 20: Where: Parameter Name/Element 2 The
Page 21 and 22: critical temperature, the critical
Page 23 and 24: Where the ideal-gas contribution
Page 25 and 26: , where � For polar, associating
Page 27 and 28: Parameter Name/ Element 2 Thermodyn
Page 29 and 30: The denominator of equation 8 is gi
Page 31 and 32: V. V. De Leeuw and S. Watanasiri, "
Page 33 and 34: References M. Benedict, G. B. Webb,
Page 35 and 36: References L. Haar, J.S. Gallagher,
Page 37 and 38: Parameter Name/Element NTHDDH 0 †
Page 39 and 40: Gibbs free energy departure: The fo
Page 41 and 42: For a block copolymer, there is onl
Page 43 and 44: Copolymer PC-SAFT Dispersion Term T
Page 45 and 46: The association-site number of the
Page 47 and 48: Then I2(�) and I3(�) are comput
Page 49 and 50: A databank called PC-SAFT contains
Page 51 and 52: Parameter Name/Element PRKBV/1 k ij
Page 53 and 54: Predictive SRK (PSRK) This model us
Page 55: ka,ij kb,ij = = For best results, b
Page 59 and 60: Redlich-Kwong-Soave-MHV2 This equat
Page 61 and 62: ‡ RKUC0, RKUC1, and RKUC2 are tre
Page 63 and 64: Parameter Name/ Element SRKLIJ/3 l
Page 65 and 66: Parameter Name/ Element Symbol Defa
Page 67 and 68: Association Equilibria Every associ
Page 69 and 70: and respectively. For the reactions
Page 71 and 72: R. W. Long, J. H. Hildebrand, and W
Page 73 and 74: Where the L, M, and N are parameter
Page 75 and 76: Alpha function Model name First Opt
Page 77 and 78: mi = Computed by equation 6 Equatio
Page 79 and 80: Parameter Name/Element 2 Thermodyna
Page 81 and 82: standard RKS alpha function, except
Page 83 and 84: These mixing rules are discussed se
Page 85 and 86: Where both Ai* and Am are calculate
Page 87 and 88: Like Huron and Vidal, the limiting
Page 89 and 90: Model Type Wilson Local composition
Page 91 and 92: Therefore, the simplified Pitzer eq
Page 93 and 94: Parameter Name/Element Symbol Defau
Page 95 and 96: Where: �i 2 Thermodynamic Propert
Page 97 and 98: The electrolyte NRTL model uses the
Page 99 and 100: Parameter Symbol No. of Name Elemen
Page 101 and 102: with Where: xi = Mole fraction of c
Page 103 and 104: It should be understood that equati
Page 105 and 106: The reference Gibbs energy is deter
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Where: j and k can be any species (
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The pure component dielectric const
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2 Thermodynamic Property Models 109
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�I *PDH = Pitzer-Debye-Hückel te
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Where: �i Vi = Activity coefficie
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Recommended cij Values for Differen
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Parameter Name/ Element 2 Thermodyn
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NRTL-SAC Reference States The NRTL-
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For an anionic component, we have M
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For a molecular segment, the activi
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Specifically, The long range intera
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where and are activity coefficients
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and Y+, are used to reflect the wid
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Parameter Name/ Element Symbol Defa
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Reference C.-C. Chen and Y. Song, "
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Parameter Name GMPTPS, GMPTP1, GMPT
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zi = Charge of ion i Subscripts c,
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For option code = 0 (default), the
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and for n-m electrolytes: 2 Thermod
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= 0.00979 Perform the necessary con
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Pitzer, K.S., J.R. Peterson, and L.
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A4,ij = gij / T + hij A5,ij = mij /
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Symmetric and Unsymmetric Electroly
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Parameter Symbol No. of Name Elemen
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Reference state for ionic component
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with 2 Thermodynamic Property Model
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G for these pairs is calculated the
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with 2 Thermodynamic Property Model
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Activity Coefficient Basis for Henr
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Where is the liquid Gibbs free ener
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Ionic components 2 Thermodynamic Pr
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the pure fused salts. Applying Eq.
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�k is the activity coefficient of
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References U. Weidlich and J. Gmehl
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ti' = �ij 2 Thermodynamic Propert
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Wagner Interaction Parameter The Wa
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References G.M. Wilson, J. Am. Chem
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Extended Antoine Equation Parameter
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IK-CAPE Vapor Pressure Equation The
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Harlacher and Braun, "A Four-Parame
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Parameter Name/Element 2 Thermodyna
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General Pure Component Heat of Vapo
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IK-CAPE Heat of Vaporization Equati
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Where: xp = Mole fraction of pseudo
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Parameter Name/Element VLBROC/1 V i
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Where: Vm l,t = Liquid volume per n
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Debye-Hückel Volume The Debye-Hüc
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DIPPR DIPPR equation 105 is the def
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Rackett The Rackett equation is: Wh
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Rackett/Campbell-Thodos Mixture Liq
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Zm RA Zi *,RA Vcm 2 Thermodynamic P
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General Pure Component Solid Molar
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Liquid Volume Quadratic Mixing Rule
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If THRSWT/6 is This equation is use
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Parameter Symbol Default MDS Lower
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General Pure Component Ideal Gas He
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(Other DIPPR equations may sometime
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General Pure Component Solid Heat C
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Parameter Name/Element 2 Thermodyna
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The expression for the liquid mole
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� Entropy: � Heat capacity: �
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Parameter Name † /Element CPIXPn/
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Option Codes for Electrolyte NRTL E
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Parameter Name Applicable Component
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For subcritical components: Hm l -H
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The vapor enthalpy is calculated fr
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Where: 2 Thermodynamic Property Mod
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Correlation algorithms for ionic sp
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Model Model name Phase(s) Pure Mixt
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Model Type Aspen Liquid Mixture Vis
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(Other DIPPR equations may sometime
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�i = Viscosity of component i (N-
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Parameter Name/Element 3 Transport
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Where: The Stockmayer or Lennard-Jo
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Where: Vcij = �ij = 0 (in almost
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Where: Vcij = �ij = 0 (in almost
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Jones-Dole Electrolyte Correction T
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Letsou-Stiel The Letsou-Stiel model
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Where: The parameter is the mole fr
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Reference C.H. Twu, "Internally Con
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Vcij 3 Transport Property Models 27
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You must provide parameters for the
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Linear extrapolation of � *,l ver
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If TRNSWT/4 is This equation is use
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Page 287 and 288:
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References R.C. Reid, J.M. Prausnit
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The mixture surface tension is then
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Where: �solv = Dielectric constan
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4 Nonconventional Solid Property Mo
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wij = Mass fraction of the jth cons
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The oxygen and organic sulfur conte
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Parameter Name/Element Symbol Defau
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The complete oxidation of carbon is
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Parameter Name/Element Symbol Defau
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The equation for �i dm is good fo
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5 Property Model Option Codes The f
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Model Name Option Code 5 Property M
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Model Name Option Code 5 Property M
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Soave-Redlich-Kwong Option Codes Th
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Model Name Option Code HLRELNRT and
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Model Name Option Code GLRELNRT, GL
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Index A activity coefficient models
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ideal gas/DIPPR heat capacity model
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S Sato-Riedel/DIPPR thermal conduct
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Aspen Physical Property System - Physical Property Models

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