THEPROPERTIESOF GASESANDLIQUIDS Bruce E. Poling Professor of Chemical Engineering University of Toledo John M. Prausnitz Professor of Chemical Engineering University of California at Berkeley John P. O’Connell Professor of Chemical Engineering University of Virginia Fifth Edition McGRAW-HILL NewYork Chicago SanFrancisco Lisbon London Madrid MexicoCity Milan NewDelhi SanJuan Seoul Singapore Sydney Toronto Copyright © 2001, 1987, 1977, 1966, 1958 by The McGraw-Hill Companies, Inc. All rights reserved. Manufactured in the United States of America. Except as permitted under the United States Copyright Act of 1976, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of the publisher. 0-07-149999-7 The material in this eBook also appears in the print version of this title: 0-07-011682-2. All trademarks are trademarks of their respective owners. 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For more information about this title, click here CONTENTS Preface vii Chapter 1 The Estimationof Physical Properties 1.1 1-1 Introduction / 1.1 1-2 EstimationofProperties / 1.3 1-3 TypesofEstimation / 1.3 1-4 OrganizationoftheBook / 1.6 Chapter 2 Pure ComponentConstants 2.1 2-1 Scope / 2.1 2-2 Vapor-LiquidCriticalProperties / 2.2 2-3 AcentricFactor / 2.23 2-4 BoilingandFreezingPoints / 2.26 2-5 DiscussionofEstimationMethodsforPureComponentConstants / 2.33 2-6 DipoleMoments / 2.34 2-7 AvailabilityofDataandComputerSoftware / 2.35 Chapter 3 ThermodynamicPropertiesof Ideal Gases 3.1 3-1 ScopeandDefinitions / 3.1 3-2 EstimationMethods / 3.5 3-3 MethodofJoback / 3.6 3-4 MethodofConstantinouandGani(CG) / 3.8 3-5 MethodofBenson[1968;1969] / 3.14 3-6 DiscussionandRecommendations / 3.46 3-7 HeatofCombustion / 3.47 Chapter 4 Pressure-Volume-TemperatureRelationshipsof Pure Gases and Liquids 4.1 4-1 Scope / 4.1 4-2 IntroductiontoVolumetricProperties / 4.1 4-3 CorrespondingStatesPrinciple / 4.5 4-4 EquationsofState / 4.8 4-5 VirialEquationofState / 4.11 4-6 AnalyticalEquationsofState / 4.17 4-7 NonanalyticEquationsofState / 4.25 4-8 DiscussionofEquationsofState / 4.31 4-9 PVTPropertiesofLiquids—GeneralConsiderations / 4.32 iii iv CONTENTS 4-10 EstimationoftheLiquidMolarVolumeattheNormalBoilingPoint / 4.33 4-11 SaturatedLiquidDensitiesasaFunctionofTemperature / 4.35 4-12 CompressedLiquidDensities / 4.43 Chapter 5 Pressure-Volume-TemperatureRelationshipsof Mixtures 5.1 5-1 Scope / 5.1 5-2 MixtureProperties—GeneralDiscussion / 5.2 5-3 CorrespondingStatesPrinciple(CSP):ThePseudocriticalMethod / 5.5 5-4 VirialEquationsofStateforMixtures / 5.8 5-5 AnalyticalEquationsofStateforMixtures / 5.12 5-6 NonanalyticEquationsofStateforMixtures / 5.18 5-7 DiscussionofMixtureEquationsofState / 5.22 5-8 DensitiesofLiquidMixturesatTheirBubblePoint / 5.23 5-9 DensitiesofCompressedLiquidMixtures / 5.26 Chapter 6 ThermodynamicPropertiesof Pure Components and Mixtures 6.1 6-1 Scope / 6.1 6-2 FundamentalThermodynamicRelationshipsforPureComponents / 6.1 6-3 DepartureFunctionsforThermodynamicProperties / 6.4 6-4 EvaluationofDepartureFunctionsforEquationsofState / 6.6 6-5 HeatCapacitiesofRealGases / 6.16 6-6 HeatCapacitiesofLiquids / 6.17 6-7 PartialPropertiesandFugacitiesofComponentsinMixtures / 6.26 6-8 TrueCriticalPointsofMixtures / 6.30 Chapter 7 VaporPressures and Enthalpiesof Vaporizationof Pure Fluids 7.1 7-1 Scope / 7.1 7-2 Theory / 7.1 7-3 CorrelationandExtrapolationofVapor-PressureData / 7.3 7-4 Ambrose-WaltonCorresponding-StatesMethod / 7.7 7-5 RiedelCorresponding-StatesMethod / 7.9 7-6 DiscussionandRecommendationsforVapor-PressureEstimationand Correlation / 7.11 7-7 EnthalpyofVaporizationofPureCompounds / 7.13 7-8 Estimationof(cid:2)H fromVapor-PressureEquations / 7.14 v 7-9 Estimationof(cid:2)H fromtheLawofCorrespondingStates / 7.16 v 7-10 (cid:2)H attheNormalBoilingPoint / 7.19 v 7-11 Variationof(cid:2)H withTemperature / 7.23 v 7-12 DiscussionandRecommendationsforEnthalpyofVaporization / 7.24 7-13 EnthalpyofFusion / 7.25 7-14 EnthalpyofSublimation;VaporPressuresofSolids / 7.28 Chapter 8 Fluid Phase Equilibriain MulticomponentSystems 8.1 8-1 Scope / 8.1 8-2 ThermodynamicsofVapor-LiquidEquilibria / 8.9 CONTENTS v 8-3 FugacityofaPureLiquid / 8.11 8-4 SimplificationsintheVapor-LiquidEquilibriumRelation / 8.12 8-5 ActivityCoefficients;Gibbs-DuhamEquationandExcessGibbsEnergy / 8.12 8-6 CalculationofLow-PressureBinaryVapor-LiquidEquilibriawithActivity Coefficients / 8.19 8-7 EffectofTemperatureonLow-PressureVapor-LiquidEquilibria / 8.22 8-8 BinaryVapor-LiquidEquilibria:Low-PressureExamples / 8.23 8-9 MulticomponentVapor-LiquidEquilibriaatLowPressure / 8.32 8-10 DeterminationofActivityCoefficients / 8.42 8-11 PhaseEquilibriumwithHenry’sLaw / 8.111 8-12 Vapor-LiquidEquilibriawithEquationsofState / 8.120 8-13 SolubilitiesofSolidsinHigh-PressureGases / 8.158 8-14 Liquid-LiquidEquilibria / 8.159 8-15 PhaseEquilibriainPolymerSolutions / 8.177 8-16 SolubilitiesofSolidsinLiquids / 8.180 8-17 AqueousSolutionsofElectrolytes / 8.191 8-18 ConcludingRemarks / 8.193 Chapter 9 Viscosity 9.1 9-1 Scope / 9.1 9-2 DefinitionsofUnitsofViscosity / 9.1 9-3 TheoryofGasTransportProperties / 9.2 9-4 EstimationofLow-PressureGasViscosity / 9.4 9-5 ViscositiesofGasMixturesatLowPressures / 9.15 9-6 EffectofPressureontheViscosityofPureGases / 9.29 9-7 ViscosityofGasMixturesatHighPressures / 9.47 9-8 LiquidViscosity / 9.51 9-9 EffectofHighPressureonLiquidViscosity / 9.55 9-10 EffectofTemperatureonLiquidViscosity / 9.56 9-11 EstimationofLow-TemperatureLiquidViscosity / 9.59 9-12 EstimationofLiquidViscosityatHighTemperatures / 9.75 9-13 LiquidMixtureViscosity / 9.77 Chapter 10 ThermalConductivity 10.1 10-1 Scope / 10.1 10-2 TheoryofThermalConductivity / 10.1 10-3 ThermalConductivitiesofPolyatomicGases / 10.2 10-4 EffectofTemperatureontheLow-PressureThermalConductivitiesofGases / 10.18 10-5 EffectofPressureontheThermalConductivitiesofGases / 10.18 10-6 ThermalConductivitiesofLow-PressureGasMixtures / 10.29 10-7 ThermalConductivitiesofGasMixturesatHighPressures / 10.35 10-8 ThermalConductivitiesofLiquids / 10.42 10-9 EstimationoftheThermalConductivitiesofPureLiquids / 10.44 10-10 EffectofTemperatureontheThermalConductivitiesofLiquids / 10.51 10-11 EffectofPressureontheThermalConductivitiesofLiquids / 10.52 10-12 ThermalConductivitiesofLiquidMixtures / 10.56 Chapter 11 DiffusionCoefficients 11.1 11-1 Scope / 11.1 vi CONTENTS 11-2 BasicConceptsandDefinitions / 11.1 11-3 DiffusionCoefficientsforBinaryGasSystemsatLowPressures:Predictionfrom Theory / 11.5 11-4 DiffusionCoefficientsforBinaryGasSystemsatLowPressures:Empirical Correlations / 11.9 11-5 TheEffectofPressureontheBinaryDiffusionCoefficientsofGases / 11.12 11-6 TheEffectofTemperatureonDiffusioninGases / 11.19 11-7 DiffusioninMulticomponentGasMixtures / 11.19 11-8 DiffusioninLiquids:Theory / 11.20 11-9 EstimationofBinaryLiquidDiffusionCoefficientsatInfiniteDilution / 11.21 11-10 ConcentrationDependenceofBinaryLiquidDiffusionCoefficients / 11.33 11-11 TheEffectsofTemperatureandPressureonDiffusioninLiquids / 11.38 11-12 DiffusioninMulticomponentLiquidMixtures / 11.41 11-13 DiffusioninElectrolyteSolutions / 11.43 Chapter 12 Surface Tension 12.1 12-1 Scope / 12.1 12-2 Introduction / 12.1 12-3 EstimationofPure-LiquidSurfaceTension / 12.2 12-4 VariationofPure-LiquidSurfaceTensionwithTemperature / 12.11 12-5 SurfaceTensionsofMixtures / 12.12 AppendixA PropertyDataBank A.1 AppendixB Lennard-JonesPotentialsasDeterminedfromViscosityData B.1 AppendixC GroupContributionsforMultipropertyMethods C.1 IndexfollowsAppendixC PREFACE Reliable values of the properties of materials are necessary for the design of in- dustrial processes. An enormous amount of data has been collected and correlated over the years, but the rapid advance of technology into new fields seems always tomaintainasignificantgapbetweendemandandavailability.Theengineerisstill required to rely primarily on common sense, experience, and a variety of methods for estimating physical properties. This book presents a critical review of various estimation procedures for alim- ited number of properties of gases and liquids: critical and other pure component properties; PVT and thermodynamic properties of pure components and mixtures; vapor pressures and phase-change enthalpies; standard enthalpies of formation; standard Gibbs energies of formation; heat capacities; surfacetensions;viscosities; thermal conductivities; diffusion coefficients; and phase equilibria. Formostcases, estimated properties arecompared toexperimenttoindicatereliability.Mostmeth- ods are illustrated by examples. The procedures described are necessarily limited to those that appear to the authors to have the greatest validity and practical use. Whereverpossible,wehave included recommendations delineating the best methods for estimating each prop- erty and the most reliable techniques for extrapolating or interpolating available data. Although the book is intended to serve primarily the practicing engineer, espe- cially the process or chemical engineer, other engineers and scientists concerned with gases and liquids may find it useful. The first edition of this book was published in 1958, the second in 1966, the thirdin1977andthefourthin1987.Inasense,eacheditionisanewbookbecause numerous estimation methods are proposed each year; over a (roughly) 10-year span, many earlier methods are modified or displaced by more accurate or more generaltechniques.Whilemostestimationmethodsrelyheavilyonempiricism,the better ones—those that are most reliable—often have a theoretical basis. In some cases,thetheoryisoutlinedtoprovidetheuserwiththefoundationoftheproposed estimation method. There are some significant differences between the current edition and the pre- ceding one: 1. Chapter 2 includes several extensive new group-contribution methods as well asdiscussionandcomparisonsofmethodsbasedondescriptorscalculatedwith quantum-mechanicalmethods.Directcomparisonsaregivenformorethan200 substances with data in Appendix A. 2. Chapter 3 includes several new methods as well as updated Benson-Method tables for ideal-gas properties of formation and heat capacities. Direct com- parisons are given for more than 100 substances with data in Appendix A. 3. Chapter 4 includes presentation of current equations of state for pure compo- nents with complete formulae for many models, especially cubics. Anewsec- vii Copyright © 2001, 1987, 1977, 1966, 1958 by The McGraw-Hill Companies, Inc. Click here for terms of use. viii PREFACE tion discusses issues associated with near-critical and very high pressure sys- tems. The Lee–Kesler corresponding-states tables, readily availableelsewhere, have been removed. 4. Chapter 5 includes presentation of current equations ofstate formixtureswith completeformulaeformanymodels,especiallycubics.Anewsectiondiscusses current mixing and combining rules for equation-of-state parameters with at- tention to inconsistencies. 5. Chapter 6 includes a revised introduction to thermodynamic properties from equations of state with complete formulae for cubics. A new sectiondiscusses real-gas and liquid heat capacities. Because they are readily available else- where, the Lee–Kesler corresponding-statestables have been removed. 6. Chapter 7 gives attention to one form of the Wagner equation that appears to be particularly successful for representing vapor pressures, and to the useful tables of Majer and Svoboda for enthalpiesof vaporization. Alsoincludedisa new discussion of the entropy of fusion. 7. Chapter8hasbeenextendedtoincludediscussionofsystemscontainingsolids, a new correlation by Eckert et al. for activity coefficents at infinite dilution, and some new methods for high-pressure vapor-liquid equilibria, including those based on Wong–Sandler mixing rules. 8. In Chapters 9–12, most of the new methods for transport properties are based on thermodynamic data or molecular-thermodynamic models. The successful TRAPPmethod(fromtheNationalInstituteofScienceandTechnology)isnow explained in more detail. 9. The property data bank in Appendix A has been completely revised. Most of the properties are the same as in the last edition, but the format has been changed to identify the sources of values. The introduction to Appendix A describes the definitions and font usage of the data bank. We selected only those substances for which we could readily obtain an evaluated experimental critical temperature; the total number of compounds is fewer than in the last edition. All of the entries in Appendix A were taken fromtabulations oftheThermodynamicsResearchCenter(TRC),CollegeSta- tion, TX, USA, or from other reliable sources as listed in the Appendix. We also used experimentally-based results for other properties from the same sources whenever available. Some estimated values are also included. We tabulate the substancesinalphabeticalformulaorder.IUPACnamesare used,withsomecommonnamesadded,andChemicalAbstractsRegistrynum- bers are given for each compound. We indicate origins of the properties by using different fonts. We are grateful to TRC for permitting us to publish a significant portion of their values. 10. Appendix C presents complete tables of parameters for the multi-property group-contribution methods of Joback and of Constantinou and Gani. The authors want to acknowledge with thanks significant contributions from colleagues who provided assistance in preparing the current edition; their help has been essential and we are grateful to them all: David Bush, Joe Downey, Charles Eckert, Michael Frenkel, Rafiqui Gani and students of the CAPEC Center at the Technical University of Denmark, Lucinda Garnes, Steven Garrison, Nathan Erb, K. R. Hall, Keith Harrison, Marcia Huber, Kevin Joback, Kim Knuth, ClaudeLei- bovicci, Paul Mathias, Amy Nelson, Van Nguyen, Chorng Twu, Philippe Ungerer and Randolph Wilhoit.