Aspen Physical Property System - Physical Property Models

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where YC is a cationic charge composition fraction and YA is an anionic charge composition fraction; they are defined as follows: Notice that electrolyte here is meant to represent an ion-pair composed of a cationic component and an anionic component in the solutions. The result is that electrolytes are generated from all possible combinations of ions in the solution; each generated electrolyte is not necessarily associated with an ionpair through the dissociation. Option Codes in NRTL-SAC Three option codes are available for NRTL-SAC to select the reference state and to optionally exclude the Flory-Huggins and long-range interaction terms: Option CodeValue Meaning 1 0 Reference state for ions is unsymmetric: infinite dilution in aqueous solution (default) 118 2 Thermodynamic Property Models 2 Reference state for ions is symmetric: pure fused salts 2 0 Flory-Huggins term included (default) 1 Flory-Huggins term removed 3 0 Long-range interaction term included (default) References 1 Long-range interaction term removed C.-C. Chen and Y. Song, "Extension of Nonrandom Two-Liquid Segment Activity Coefficient Model for Electrolytes," Ind. Eng. Chem. Res., 2005, 44, 8909. Y. Song and C.-C. Chen, "Symmetric Nonrandom Two-Liquid Segment Activity Coefficient Model for Electrolytes," Ind. Eng. Chem. Res., 2009, 48, 5522.
NRTL-SAC Reference States The NRTL-SAC activity coefficient model for component I is composed of the local composition term, ln �I lc , the Pitzer-Debye-Hückel long-range interaction term, ln �I PDH , and the Flory-Huggins term, �I FH : This equation needs to be normalized based on the reference states of molecular and ionic components. Reference state for molecular components The reference state for a molecular component is defined as follows: This definition is the so-called standard state of pure liquids for molecular components and it is also called the symmetric reference state for molecular components. Reference state for ionic components The standard state of pure liquids is hypothetical for ionic components in electrolyte systems. The symmetric reference state is defined as the pure fused salt state of each electrolyte component in the system. However, the conventional reference state for ionic components is the infinite-dilution activity coefficient in pure water; it is also called the unsymmetric reference state for ionic components. In NRTL-SAC model, we will consider both of these reference states; the unsymmetric state is the default. Pure fused salt state of an electrolyte component For an electrolyte component CA, the pure fused salt state can be defined as follows: where �± is the mean ionic activity coefficient of the electrolyte component and is related to the corresponding cationic and anionic activity coefficients �C and �A by this expression: where �C is the cationic stoichiometric coefficient and �A is the anionic stoichiometric coefficient, and �=�C+�A (one mole of salt releases � moles of ions in solution). They are given by the chemical equation describing the dissociation of the electrolyte. Therefore Eq. 5 can be written in terms of charge numbers zC and zA: 2 Thermodynamic Property Models 119 (1) (2) (3) (4) (5)
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Aspen Physical Property System Phys
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Contents Contents..................
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General Pure Component Solid Molar
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1 Introduction This manual describe
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Pure Component Temperature- Depende
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the Properties Parameters Pure-Comp
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2 Thermodynamic Property Models Thi
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Property Model Model Name Phase(s)P
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Property Model Model Name 2 Thermod
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Where: Parameter Name/Element 2 The
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critical temperature, the critical
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Where the ideal-gas contribution
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, where � For polar, associating
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Parameter Name/ Element 2 Thermodyn
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The denominator of equation 8 is gi
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V. V. De Leeuw and S. Watanasiri, "
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References M. Benedict, G. B. Webb,
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References L. Haar, J.S. Gallagher,
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Parameter Name/Element NTHDDH 0 †
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Gibbs free energy departure: The fo
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For a block copolymer, there is onl
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Copolymer PC-SAFT Dispersion Term T
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The association-site number of the
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Then I2(�) and I3(�) are comput
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A databank called PC-SAFT contains
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Parameter Name/Element PRKBV/1 k ij
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Predictive SRK (PSRK) This model us
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ka,ij kb,ij = = For best results, b
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J. Schwartzentruber and H. Renon, "
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Redlich-Kwong-Soave-MHV2 This equat
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‡ RKUC0, RKUC1, and RKUC2 are tre
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Parameter Name/ Element SRKLIJ/3 l
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Parameter Name/ Element Symbol Defa
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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
Page 107 and 108: Where: j and k can be any species (
Page 109 and 110: The pure component dielectric const
Page 111 and 112: 2 Thermodynamic Property Models 109
Page 113 and 114: �I *PDH = Pitzer-Debye-Hückel te
Page 115 and 116: Where: �i Vi = Activity coefficie
Page 117 and 118: Recommended cij Values for Differen
Page 119: Parameter Name/ Element 2 Thermodyn
Page 125 and 126: For an anionic component, we have M
Page 127 and 128: For a molecular segment, the activi
Page 129 and 130: Specifically, The long range intera
Page 131 and 132: where and are activity coefficients
Page 133 and 134: and Y+, are used to reflect the wid
Page 135 and 136: Parameter Name/ Element Symbol Defa
Page 137 and 138: Reference C.-C. Chen and Y. Song, "
Page 139 and 140: Parameter Name GMPTPS, GMPTP1, GMPT
Page 141 and 142: zi = Charge of ion i Subscripts c,
Page 143 and 144: For option code = 0 (default), the
Page 145 and 146: and for n-m electrolytes: 2 Thermod
Page 147 and 148: = 0.00979 Perform the necessary con
Page 149 and 150: Pitzer, K.S., J.R. Peterson, and L.
Page 151 and 152: A4,ij = gij / T + hij A5,ij = mij /
Page 153 and 154: Symmetric and Unsymmetric Electroly
Page 155 and 156: Parameter Symbol No. of Name Elemen
Page 157 and 158: Reference state for ionic component
Page 159 and 160: with 2 Thermodynamic Property Model
Page 161 and 162: G for these pairs is calculated the
Page 163 and 164: with 2 Thermodynamic Property Model
Page 167 and 168: Activity Coefficient Basis for Henr
Page 169 and 170: 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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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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