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PhysicalChemistryTheFirstLawPhysicalChemistryTheFirstLawTheConceptsTheFirstLawTheConceptsSystemandSurroundingsSystem-thepartoftheworldinwhichwehaveaspecialinterest.
Surroundings-wherewemakeourobservations.systemsurroundingsSystemandSurroundingsSystemTypesofSystemsOpen-exchangesmatterandenergywithsurroundings.
Closed-exchangesonlyenergywithsurroundings.
Isolated-nointerchangewithsurroundings.EnergyEnergyMatterTypesofSystemsOpen-exchangHeatHeatistheenergytransferredbetweenahotobjectandacoldobject.
Temperatureisthedegreeof“hotness”ofanobject.qThighTlowHeatHeatistheenergytransfeIsothermalvs.AdiabaticAnadiabaticprocessinoneinwhichnoheatisexchangedbetweenthesystemanditssurroundings.Anisothermalprocessinoneinwhichtheinitialandfinaltemperaturesarethesame.Isothermalprocessesarenotnecessarilyadiabatic.Isothermalvs.AdiabaticAnadiWorkWorkisanyenergyexchangethatisnotheat.
Workisanyinteractionthatcouldhaveasthesoleeffecttheraisingofaweight.
Work=force·distance1kg1meterWorkWorkisanyenergyexchangStateFunctionvs.PathFunctionAstatefunction
isapropertyofasystemthatdependsonlyonitscurrentstateandnotonhowthatstatewasreached.Apathfunction
dependsonhowthestatewasreached.stateAstateBpath1path2StateFunctionvs.PathFunctiTheFirstLawdU=dw+dq
definestheinternalenergychangeofasystem.Theinternalenergyisafunctionofstate.Corollary:Energyisconservedinanisolatedsystem.stateAstateBwqwqTheFirstLawdU=dw+dq
defWorkofExpansion/Compressiongasdzpexpex=externalpressureA=pistonareadz=displacementdV=-Adz=volumechangeforthegasdw=Fdz
dw=-pexdVAWorkofExpansion/CompressiongReversibleChangesAreversiblechange
isonethatcanbereversedbyaninfinitesimalmodificationofavariable.
Inareversibleexpansionorcompression,pex=pgaspexpgasReversibleChangesAreversibleIrreversibleChangesAnirreversiblechange
isonethatisnotreversible.
Inanirreversibleexpansion,pex<pgas
Inanirreversiblecompression,pex>pgaspexpgaspexpgasIrreversibleChangesAnirreverIndicatorDiagram:compressionpexViVfT=273KadditionalirreversibleworkreversibleworkIndicatorDiagram:compressionIsothermalReversibleWorkIsothermalReversibleWorkIsothermalIrreversibleWorkIsothermalIrreversibleWorkAdiabaticExpansiondq=0dU=dwforanidealgas,
CVdT=-pexdVifreversible,
pex=p=nRT/Vtherefore,
CV(dT/T)=-nR(dV/V)qqwAdiabaticExpansiondq=0qqwReversibleAdiabaticExpansionReversibleAdiabaticExpansionReversibleAdiabaticExpansionReversibleAdiabaticExpansionReversibleAdiabaticExpansionReversibleAdiabaticExpansionIrreversibleAdiabaticExpansionIrreversibleAdiabaticExpansiArgon:Adiabatsvs.IsothermsadiabatisothermArgon:Adiabatsvs.IsothermsaEnthalpyandHeatEnthalpyisdefined
H=U+pV
dH=dU+pdV+Vdp
atconstantp,
dH=dU+pdVdH=dqpEnthalpyandHeatEnthalpyisdHeatCapacity:Cv,mTUslope=CVHeatCapacity:Cv,mTUslope=CHeatCapacity:Cp,mTHslope=CpHeatCapacity:Cp,mTHslope=CTemperatureDependenceofCp,mCp,m=a+bT+c/T2inJ/mole
TemperatureDependenceofCp,mVariationofHwithTemperatureVariationofHwithTemperaturHess’sLawTheenthalpychangeforanoverallreactionisthesumoftheenthalpychangesoftheindividualreactionsintowhichareactionmaybedivided.
DHA-C=
DHA-B+DHB-CA®BB®CA®CreactantsAproductsCHess’sLawTheenthalpychangeStandardEnthalpyofFormationThestandardreactionenthalpyDHr0
isthechangeinenthalpywhenreactantsintheirstandardstateschangetoproductsintheirstandardstates.Thestandardenthalpyofformation
ofasubstanceDHf0isthestandardreactionenthalpyfortheformationofthecompoundfromitselementsintheirreferencestates.StandardEnthalpyofFormation
DHf0
ExamplesAceticAcid
2C(gr)+O2(g)+2H2(g)®CH3COOH(l)
AmmoniumNitrate
N2(g)+2H2(g)+3/2O2(g)®NH4NO3(s)
SodiumChloride
Na(s)+1/2Cl2(g)®NaCl(s)
DHf0ExamplesAceticAcid
2C(Hess’LawandDHf0
Forthereaction2A+B®3C+D,
DH0=3DHf0(C)+DHf0(D)-2DHf0(A)-DHf0(B)
ForthegeneralreactionSnJJ=0,
DH0=SnJDHf0(J)
GivenDHf0valuesforallthereactantsandproducts,DH0maybecalculatedforanyreaction.
Hess’LawandDHf0ForthereaTemperatureDependenceofDrHReactants(T2)Reactants(T1)Products(T2)Products(T1)DrH(T1)DrH(T2)DHRDHPDrH(T2)=DHR+DrH(T1)+DHPTemperatureDependenceofDrHRKirchhoff’sLawKirchhoff’sLawTheFirstLawTheMachineryTheFirstLawTheMachineryExactDifferentialsdxdydzExactDifferentialsdxdydzInternalEnergyChangesInternalEnergyChanges
ThermodynamicEq’nofState
ThermodynamicEq’nofStateExpansionCoefficientExpansionCoefficientIsothermalCompressibilityIsothermalCompressibilityTableofandTTableofandTCpandCVCpandCV物理化学英文2The-First-Law课件PhysicalChemistryTheFirstLawPhysicalChemistryTheFirstLawTheConceptsTheFirstLawTheConceptsSystemandSurroundingsSystem-thepartoftheworldinwhichwehaveaspecialinterest.
Surroundings-wherewemakeourobservations.systemsurroundingsSystemandSurroundingsSystemTypesofSystemsOpen-exchangesmatterandenergywithsurroundings.
Closed-exchangesonlyenergywithsurroundings.
Isolated-nointerchangewithsurroundings.EnergyEnergyMatterTypesofSystemsOpen-exchangHeatHeatistheenergytransferredbetweenahotobjectandacoldobject.
Temperatureisthedegreeof“hotness”ofanobject.qThighTlowHeatHeatistheenergytransfeIsothermalvs.AdiabaticAnadiabaticprocessinoneinwhichnoheatisexchangedbetweenthesystemanditssurroundings.Anisothermalprocessinoneinwhichtheinitialandfinaltemperaturesarethesame.Isothermalprocessesarenotnecessarilyadiabatic.Isothermalvs.AdiabaticAnadiWorkWorkisanyenergyexchangethatisnotheat.
Workisanyinteractionthatcouldhaveasthesoleeffecttheraisingofaweight.
Work=force·distance1kg1meterWorkWorkisanyenergyexchangStateFunctionvs.PathFunctionAstatefunction
isapropertyofasystemthatdependsonlyonitscurrentstateandnotonhowthatstatewasreached.Apathfunction
dependsonhowthestatewasreached.stateAstateBpath1path2StateFunctionvs.PathFunctiTheFirstLawdU=dw+dq
definestheinternalenergychangeofasystem.Theinternalenergyisafunctionofstate.Corollary:Energyisconservedinanisolatedsystem.stateAstateBwqwqTheFirstLawdU=dw+dq
defWorkofExpansion/Compressiongasdzpexpex=externalpressureA=pistonareadz=displacementdV=-Adz=volumechangeforthegasdw=Fdz
dw=-pexdVAWorkofExpansion/CompressiongReversibleChangesAreversiblechange
isonethatcanbereversedbyaninfinitesimalmodificationofavariable.
Inareversibleexpansionorcompression,pex=pgaspexpgasReversibleChangesAreversibleIrreversibleChangesAnirreversiblechange
isonethatisnotreversible.
Inanirreversibleexpansion,pex<pgas
Inanirreversiblecompression,pex>pgaspexpgaspexpgasIrreversibleChangesAnirreverIndicatorDiagram:compressionpexViVfT=273KadditionalirreversibleworkreversibleworkIndicatorDiagram:compressionIsothermalReversibleWorkIsothermalReversibleWorkIsothermalIrreversibleWorkIsothermalIrreversibleWorkAdiabaticExpansiondq=0dU=dwforanidealgas,
CVdT=-pexdVifreversible,
pex=p=nRT/Vtherefore,
CV(dT/T)=-nR(dV/V)qqwAdiabaticExpansiondq=0qqwReversibleAdiabaticExpansionReversibleAdiabaticExpansionReversibleAdiabaticExpansionReversibleAdiabaticExpansionReversibleAdiabaticExpansionReversibleAdiabaticExpansionIrreversibleAdiabaticExpansionIrreversibleAdiabaticExpansiArgon:Adiabatsvs.IsothermsadiabatisothermArgon:Adiabatsvs.IsothermsaEnthalpyandHeatEnthalpyisdefined
H=U+pV
dH=dU+pdV+Vdp
atconstantp,
dH=dU+pdVdH=dqpEnthalpyandHeatEnthalpyisdHeatCapacity:Cv,mTUslope=CVHeatCapacity:Cv,mTUslope=CHeatCapacity:Cp,mTHslope=CpHeatCapacity:Cp,mTHslope=CTemperatureDependenceofCp,mCp,m=a+bT+c/T2inJ/mole
TemperatureDependenceofCp,mVariationofHwithTemperatureVariationofHwithTemperaturHess’sLawTheenthalpychangeforanoverallreactionisthesumoftheenthalpychangesoftheindividualreactionsintowhichareactionmaybedivided.
DHA-C=
DHA-B+DHB-CA®BB®CA®CreactantsAproductsCHess’sLawTheenthalpychangeStandardEnthalpyofFormationThestandardreactionenthalpyDHr0
isthechangeinenthalpywhenreactantsintheirstandardstateschangetoproductsintheirstandardstates.Thestandardenthalpyofformation
ofasubstanceDHf0isthestandardreactionenthalpyfortheformationofthecompoundfromitselementsintheirreferencestates.StandardEnthalpyofFormation
DHf0
ExamplesAceticAcid
2C(gr)+O2(g)+2H2(g)®CH3COOH(l)
AmmoniumNitrate
N2(g)+2H2(g)+3
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