Prediction of methane and carbon dioxide solubility in water(6)

136S.Hashemietal./FluidPhaseEquilibria246(2006)131–136

formethane–waterandcarbondioxide–watersystems.TheTrebble–Bishnoiequationofstatewasfoundtobefairlysimpleandrelativelysuccessfulcomparedtootherequationofstatesemployedintheliterature.Themodel,withitsoriginalparame-ters,alwaysunderestimatedsolubilityinhydrate–liquidwaterequilibrium.SolubilitypredictionusingHenry’slaw,whichactuallyestimatesthesolubilityatthethree-phaseequilibrium(H–Lw–V)andnotintwo-phasehydrateliquidwaterequilib-rium(H–Lw),wereingoodagreementwithexperimentaldata.Thegoodagreementstemsfromthesmalleffectofpressureongassolubilityinthepresenceofhydrate.Inordertoimprovetheaccuracyofthepresentmodel,theinteractionparametersofTrebble–Bishnoiequationofstateaswellasreferenceparam-etersofthehydratemodelwerereadjustedto(Lw–V)and(H–Lw–V)equilibriumdata,respectively.ThemodelcoveredalargertemperaturerangeandtheAAREforbothgaseswasbelow10%.

Listofsymbolsawwateractivity

AAREaverageabsoluterelativeerror=100×ABS(Xcal

Xexp)/Xexp

CmjLangmuir 1constantofspeciesjincavityoftypem

(Pa)

fifugacityofspeciesi(Pa)Fmbiasfactorde nedbyEq.(14)GGibbsenergy(kJ/kmol)henthalpy(kJ/kmol)NtotalnumberofcomponentsPpressure(Pa)Runiversalgasconstant(kJ/kmolK)Ttemperature(K)vvolume(m3)XgasmolefractioninwaterGreeklettersθmjfractionofcavitiestypemoccupiedbycomponentjµνchemicalpotential(kJ/kmol)mnumberofcavitiesoftypemSubscriptwwaterSuperscriptsHhydrateLliquidMTemptylatticesolsolutionVvapor

Acknowledgement

TheauthorsaregratefultotheNaturalSciencesandEngi-neeringResearchCouncilofCanadafor nancialassistance.References

[1]E.D.Sloan,ClathrateHydratesofNaturalGases,2nded.,Marcel

Dekker,NewYork,1990.

[2]P.G.Brewer,G.Friederich,E.T.Peltzer,M.O.Franklin,Science284

(1999)943–945.

[3]P.Englezos,Ind.Eng.Chem.Res.32(1993)1251–1274.[4]S.Thomas,R.A.Dawe,Energy28(2003)1461–1477.

[5]M.Mork,J.S.Gudmundsson,ProceedingsoftheFourthInternational

ConferenceonGasHydrates,Yokohama,2002.

[6]G.D.Holder,G.Corbin,K.D.Papadopoulos,Ind.Eng.Fundam.19

(1980)282–286.

[7]W.R.Parrish,J.M.Prausnitz,Ind.Eng.Chem.ProcessDes.Dev.11(1)

(1972)26–35.

[8]J.B.Klauda,S.I.Sandler,Ind.Eng.Chem.Res.39(2000)3377–3386.[9]J.B.Klauda,S.I.Sandler,Chem.Eng.Sci.58(2003)27–41.[10]O.L.Culberson,Petrol.Trans.AIME.192(1951)223–226.[11]R.Battino,H.L.Clever,Chem.Rew.66(4)(1966)395–463.

[12]K.Lekvam,P.R.Bishnoi,FluidPhaseEquilib.131(1997)297–309.[13]P.B.Stewart,P.Munjal,J.Chem.Eng.Data.15(1970)67–71.

[14]A.Valtz,A.Chapoy,C.Coquelet,P.Paricaud,D.Richon,FluidPhase

Equilib.226(2004)333–344.

[15]A.Bamberger,G.Sieder,G.Maurer,J.Supercrit.Fluids17(2000)

97–110.

[16]M.Wendland,H.Hasse,G.Maurer,J.Chem.Eng.Data.44(1999)

901–906.

[17]L.-K.Wang,G.-J.Chen,G.-H.Han,X.-Q.Guo,T.-M.Guo,FluidPhase

Equilib.207(2003)143–154.

[18]P.Servio,P.Englezos,J.Chem.Eng.Data.47(2002)87–90.[19]P.Servio,P.Englezos,FluidPhaseEquilib.190(2001)127–134.

[20]Y.Tabe,S.Hirai,K.Okazaki,K.Kawamura,K.Hijikata,HeatTransfer,

Proceedingsofthe11thIHTC,vol.5,Kyongju,Korea,1998.

[21]J.H.vanderWaals,J.C.Platteeuw,Adv.Chem.Phys.2(1959)1–57.[22]Y.P.Handa,J.Phys.Chem.94(1990)2652–2657.

[23]Y.S.Kim,S.K.Ryu,S.O.Yang,C.S.Lee,Ind.Eng.Chem.Res.42

(2003)2409–2414.

[24]S.O.Yang,I.M.Yang,Y.S.Kim,C.S.Lee,FluidPhaseEquilib.175

(2000)75–89.

[25]S.O.Yang,S.H.Cho,H.Lee,C.S.Lee,FluidPhaseEquilib.185(2001)

53–63.

[26]O.Ye.Zatsepina,B.A.Buffet,Geophys.Res.Lett.24(13)(1997)

1567–1570.

[27]M.A.Trebble,P.R.Bishnoi,FluidPhaseEquilib.35(1987)1–18.

[28]A.L.Ballard,E.D.Sloan,FluidPhaseEquilib.194(197)(2002)

371–383.

[29]A.L.Ballard,PhDThesis,ColoradoSchoolofMines,Golden,CO,USA,

2002.

[30]D.Y.Peng,D.B.Robinson,Ind.Eng.Chem.Fundam.15(1)(1976)

59–64.

[31]G.Soave,Chem.Eng.Sci.27(6)(1972)1197–1203.

[32]M.A.Trebble,P.R.Bishnoi,FluidPhaseEquilib.40(1988)1–21.

[33]W.L.Bolles,J.R.Fair,Inst.Chem.Eng.Symp.Ser.56(3)(1979)35–89.