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1Chapter12ponentPhaseEquilibriumPhysicalChemistryponentPhase2QuestionandAnswering
PhysicalChemistryAStudent’sQuestion我昨天晚上看了第9章的38题,想到了一个问题,在2种组分的理想混合溶液中,一种组分所占整个体系的摩尔分数与它的蒸汽所占整个体系气体的摩尔分数和它的液态部分所占整个体系液态部分的摩尔分数之间有什么关系?也就是与和三者有什么关系?是不是?但仔细想又不对!
Question:3QuestionandAnswering
PhysicalChemistryAStudent’sQuestionRaoult’sLaw:Answers.Dalton’sLaw:ABCase(1)Case(2)Case(3)4ColligativeProperties
Colligativepropertiesstemfromthereductionofthechemicalpotentialoftheliquidsolventasaresultofthepresenceofsolute.ColligativePropertiesVapor-pressureloweringFreezing-pointdepressionBoiling-pointelevationOsmoticpressureThesoluteisnotvolatileThesolutedoesnotdissolveinthesolidsolventPhysicalChemistryponentPhase5ColligativeProperties
Vapor-pressureloweringPA/torrx(sucrose)0-400.1Fig.12.1nonvolatilesolute(12.1)nonvolatilesolute(12.2)(Nocontributiontothevapor)Ifthesolutionisverydilute,ideallydilutesolution,nonvolatilesolute(12.3)ideallydilutesolutionPhysicalChemistryponentPhase6ColligativeProperties
Freezing-pointdepression(12.13)ideallydil.soln.,pureAfreezesoutmolarfreezing-point-depressionconstant
ATFig.12.2A(s)A(l)A(sln)Freezing-pointdepression(12.15)*(12.16)PhysicalChemistryponentPhase7ColligativeProperties
Boiling-pointelevationideallydil.soln.,nonvol.solutemolarboiling-point-elevationconstant(12.18)*(12.19)
ATA(l)A(s)A(v)Boiling-pointelevationPhysicalChemistryponentPhase8ColligativeProperties
Thevaporpressureofapureliquidrepresentsabalancebetweentheincreaseddisorderarisingfromvaporizationandthedecreaseddisorderofthesurroundings.
Whensoluteispresent,thedisorderofthecondensedphaseisrelativelyhigherthanthatofthepureliquid,andthereisadecreasedtendencytoacquirethedisordercharacteristicofthevapor.PhysicalChemistryponentPhase9ColligativeProperties
Equilib.atTforvaporandliquidphasesofthesolventrearrangesto(AssumingTindependent)WhenxB=0,theboilingpointisandPhysicalChemistryponentPhase10ColligativeProperties
SupposethattheamountofsolutepresentissosmallthatthenPhysicalChemistryponentPhase11ColligativeProperties
sinceitalsofollowsthat(P344)ForverydilutesolutionPhysicalChemistryponentPhase12ColligativeProperties
Osmoticpressure(12.20)(12.26)EqualatequilibriumPureASolutionofB+ASemipermeablemembrane(A)ideallydil.soln.(12.27)*van’tHoff’slaw,validinthelimitofinfinitedilutionPhysicalChemistryponentPhase13ColligativeProperties
OsmoticpressureTheosmoticpressureinanonideallydilutenonelectrolyteponentsolution(12.28)(8.4)Inthelimitofinfinitesolutionvan’tHofflawPhysicalChemistryponentPhase14f=2-φ+2=4-φ,φ=1, f=3φ=2, f=2φ=3, f=1φ=4, f=0 ponentphasediagramsIfonephase,thenthreefreedoms:TPxInsteadofplottingcompletephasediagrams(threedimensional),usuallyconsideronlyportionofthephasediagramatatime.PhysicalChemistryponentPhase15ponentphasediagramsKeeponeconstant,getrelationsfortwovariablesKeepTconstant,getP-x(verycommonlyused)KeepPconstant,getT-x(commonlyused)Keepxconstant,getT-P(notverycommonlyused)PhysicalChemistryponentPhase16l(A+B)C6H5CH3(A)C6H6(B)yB0.00.20.40.60.81.00.80.60.20.40.00.00.20.40.60.81.0v(A+B)T=79.7
℃yG,B=0.60HFxBl(A+B)Il(A+B)v(A+B)P/102kPatielineADEisoplethlineH,IendpointIdealsolutionatfixedTPhysicalChemistryponentPhase17l(A+B)010.80.60.20.40.00.00.20.40.60.81.0v(A+B)T=79.7
℃HFxBl(A+B)Il(A+B)v(A+B)P/102kPaADEponentphasediagrams(12.40)(12.39)LeverrulePhysicalChemistryponentPhase180.01.0l(A+B)C6H5CH3(A)C6H6(B)xByB12010060800.00.00.20.40.60.81.0t/℃v(A+B)P=101325PaliquidSQRLNTemperaturevscompositionliquid-vaporphasediagram(C6H5CH3(A)-C6H6(B))l+vIdealsolutionatfixedPvaporBoiling-pointcurvePSuccessiveboilingsandcondensationsofaliquidoriginallyofcompositiona1leadtoacondensatethatispureBa1FractionaldistillationPhysicalChemistryponentPhase19ponentphasediagramsNonidealSolutionAlow-boilingazeotropeAhigh-boilingazeotropeminimum-boilingazeotropemaximum-boilingazeotropelVapor
l+vVapor
Liquid
l+vl+vl+vAzeotropes
PhysicalChemistryponentPhase20ponentphasediagramsAmaximuminthephasediagrammayoccurwhenthefavorableinteractionsbetweenAandBmoleculesreducethevaporpressureofthemixturebelowtheidealvaluePhasediagramshowingaminimumPhasediagramshowingamaximumThemixture:formanazeotropeWhentheazeotropiccompositionhasbeenreached,distillationcannotseparatethetwoliquidsbecausethecondensatehasthesamecompositionastheazeotropicliquid.PhysicalChemistryponentPhase21ponentphasediagramsExamplesofazeotropeformation:Hydrochloricacid/waterat80%bymassofwaterandboilsunchangedat108.6oC.Ethanol/waterat4%bymassofwaterandboilsunchangedat78.0oC.Ahigh-boilingazeotrope.Alow-boilingazeotrope.PhysicalChemistryponentPhase22ponentphasediagramsLiquid-liquidequilibriumTwopartiallymiscibleliquids0.00.20.40.60.81.0l(A+B)H2O(A)C6H5NH2(B)xBt/℃1601204080P=const.T
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