Equivalente termico

Introductio

Fromthefollowingtwopoints,itisexplainedthatworkandheatareequivalent,notequal.

Oneisthatthesamechangeintheinternalenergyofthesystemcanbedoneeitherbydoingworkorbytransferringheat.Thetwoareequivalentonlyintermsoftheeffectonthesystem,andtheymustneverbethesame.

Thesecondisthattheconversionbetweenworkandheatcanonlybecompletedthroughchangesintheinternalenergyofthesystem.Itisnotappropriatetotalkaboutthedirectconversionbetweenworkandheatwithoutthesystem.Althoughmacroscopicallyitmayreflectthattheinternalenergyofthesystemhasnotchanged,itisimpossibletodrawasimpleconclusionthatheatcanchangeworkorworkcanchangeheat.Ifintheconversionprocess,theoutsidesupplysystemheat,sothatthesystemisusedforexternalwork,infact,theexternalsupplysystemheat,sothattheinternalenergyofthesystemincreases,atthesametimethesystemdoesworkexternally,consumingtheenergyobtainedfromtheoutsideworld.

Theworkheatequivalentistheinverseoftheheatworkequivalent,whichisequalto0.24cal/joule.

significatio

Beforeunderstandingthenatureofheat,therelationshipbetweenheat,work,andenergywasnotclear,sotheywereexpressedindifferentunits.Theunitofheatiscalorie,referredtoascalorie.Attheendofthe18thcentury,peoplerealizedthatheatisrelatedtosports.ThisopenedthewayforJouletostudytherelationshipbetweenheatandwork.Joulebelievesthatheatandworkshouldhaveacertainequivalentrelationship,thatis,thereisacertainquantitativerelationshipbetweentheunitcalorieofheatandtheunitjouleofwork.From1840to1878,heconductedalargenumberofexperimentsusingelectrothermalmethodandmechanicalcalorimetrymethodfornearly40years,andfinallyfoundouttheequivalentrelationshipbetweenheatandwork.IfWisusedtorepresentelectricalworkormechanicalwork,andQisusedtorepresenttheheatcorrespondingtoallofthese,thentherelationshipbetweenworkandheatcanbewrittenasW=JQ,andJistheequivalentofthermalwork.

In1843,theJvaluemeasuredbytheelectricheatingmethodofJoulewasapproximately4.568J/cal;theJvaluemeasuredbythemechanicalmethodwasapproximately4.165J/cal.Later,Jouleannouncedtheresultsofhisfurtherdeterminationsin1845,1847,and1850respectively,andthefinalresultpublishedin1878wasJ=4.157joules/cal.Withthefurtherdevelopmentofscientificinstrumentsinthefuture,otherscientistshavedonealotofverification.Therecognizedthermalequivalentvalueis:inphysicsJ=4.1868joules/cal(the"card"iscalledtheinternationalsteammetercard);inchemistryJ = 4.1840joules/cal(the"cal"is"vocatur athermochemicalcard).

Theinternationalunithasuniformlystipulatedthattheunitsofwork,heat,andenergyareallinjoules,andtheheatequivalentdoesnotexist.However,thethermalpowerequivalentexperimentanditsspecificdatahavealwaysplayedaroleinthehistoryofthedevelopmentofphysics.Joule'sexperimentlaidthefoundationforthelawofenergyconversionandconservation.

Discoveringpeople

Backgroundscientia

Inthe18thcentury,people’sresearchonthenatureofheattookadetour,andthe"thermalmasstheory"wasinthehistoryofphysics.Ruledformorethanahundredyears.Althoughsomescientistshaddoubtsaboutthiswrongtheory,peoplehavebeenunabletosolvetheproblemoftherelationshipbetweenheatandwork.ItwastheBritishself-taughtphysicistJamesPrescottJoulewhofinallysolvedthisproblem.Theproblempointstheway.

Personalresume

Joule(JamesP.Joule,1818-1889),Britishphysicist.Hewasthefirsttoestablishthelawofenergyconservationandtransformationthroughscientificexperiments.JoulewasbornonDecember24,1818inSoft,Manchester,England.Hisfatherwasabreweryowner.Joulefollowedhisfathertoparticipateinwine-makinglaborsincehewasachildandhadnoformaleducation.

Inhisyouth,undertheintroductionofothers,JoulemetthefamouschemistDalton.DaltongaveJouleanenthusiasticinstruction.Joulelearnedmathematics,philosophy,andchemistryfromhimhumbly.ThisknowledgelaidthetheoreticalfoundationforJoule'slaterresearch.Moreover,DaltontaughtthescientificresearchmethodofcombiningJoule'stheoryandpractice,whichinspiredJoule'sinterestinchemistryandphysics.

Introductioexperience

Joule’sinitialresearchdirectionwaselectromagneticmachines.Hewantedtoreplacethesteamengineusedinhisfather’sbrewerywithelectromagneticmachinestoimproveworkefficiency.In1837,Jouleinstalledabattery-drivenelectromagneticmachine,butbecausethecurrentsupportingtheelectromagneticmachine'soperationcomesfromzincbatteries,andzincisexpensive,itisnotascost-effectivetouseanelectromagneticmachineasasteamengine.AlthoughJoule'soriginalgoalwasnotachieved,hediscoveredfromexperimentsthatelectriccurrentcandowork,whichinspiredhisinterestinin-depthresearch.

Testprocess

In1840,Jouleputthetoroidalcoilintoatesttubefilledwithwatertomeasurethewatertemperatureatdifferentcurrentintensitiesandresistances.Throughthisexperiment,hefoundthattheheatemittedbyaconductorinacertainperiodoftimeisproportionaltotheproductoftheconductor'sresistanceandthesquareofthecurrentintensity.Fouryearslater,theRussianphysicistLenzpublishedalargenumberofexperimentalresults,thusfurtherverifyingthecorrectnessofJoule'sconclusionontheheatingeffectofelectriccurrent.Therefore,thislawiscalledJoule-Lenz'slaw.

AfterJoulesummeduptheJoule-Lenzlaw,itisfurtherassumedthattheheatgeneratedbythebatterycurrentandtheheatgeneratedbytheinducedcurrentoftheelectromagneticmachineshouldbeessentiallythesame.In1843,Jouledevisedanewexperiment.Asmallcoiliswoundontheironcore,theinducedcurrentismeasuredwithanammeter,thecoilisplacedinacontainerwithwater,andthewatertemperatureismeasuredtocalculatetheheat.Thiscircuitiscompletelyenclosed,thereisnoexternalpowersupply,theincreaseinwatertemperatureisonlytheresultoftheconversionofmechanicalenergyintoelectricalenergyandelectricalenergyintoheat.Thereisnotransferofheatandmassinthewholeprocess.Theresultofthisexperimentcompletelynegatedthetheoryofthermalmass.

TheaboveexperimentalsomadeJoulethinkoftheconnectionbetweenmechanicalworkandheat.Afterrepeatedexperimentsandmeasurements,Joulefinallymeasuredthethermalworkequivalent,buttheresultwasnotaccurate.AttheBritishAcademicConferenceonAugust21,1843,Joulereportedhispaper"OntheThermalEffectofElectromagnetismandtheMechanicalValueofHeat".Inhisreport,hesaidthat1kcalofheatisequivalentto460kilogramsofwork.Hisreportdidnotreceivesupportandstrongresponse,andatthistimeherealizedthatheneededtoconductmorepreciseexperiments.

In1844,Joulestudiedthetemperaturechangesofairduringexpansionandcompression,andhehasmademanyachievementsinthisregard.Throughthestudyoftherelationshipbetweenthevelocityofgasmoleculesandtemperature,Joulecalculatedthevalueofthethermalvelocityofgasmolecules,theoreticallylayingthefoundationforBoyle-MarriottandGuy-Lussac'slawsandexplainingTheessenceofthepressureofthegasonthewall.ManyofJoule'sexperimentsintheresearchprocessweredonejointlywiththefamousphysicistWilliamThomson(laternamedLordKelvin).Ofthe97scientificpaperspublishedbyJoule,20aretheresultoftheircollaboration.Whenthefree-diffusiongasentersthelow-pressurecontainerfromthehigh-pressurecontainer,thetemperatureofmostofthegasandtheairwilldrop.Thisphenomenonwasdiscoveredbythetwo.ThisphenomenonwaslatercalledtheJoule-Thomsoneffect.

Whetherintermsofexperimentsorintheory,Jouleisoneofthepioneersofin-depthresearchfromthestandpointofmoleculardynamics.

Whileengaginginthesestudies,Joulehasnotinterruptedthemeasurementofthermalpowerequivalent.In1847,Jouledidwhatisconsideredtobethemostingeniousexperimentofdesignthinkingsofar:Hefilledthecalorimeterwithwater,installedarotatingshaftwithbladesinthemiddle,andthenletthefallingweightdrivethebladestorotate,duetothefrictionbetweenthebladesandthewater.,Thewaterandthecalorimeterhavebecomehot.Accordingtotheheightatwhichtheweightfalls,theconvertedmechanicalworkcanbecalculated;accordingtotheincreasedtemperatureofthewaterinthecalorimeter,theincreaseintheinternalenergyofthewatercanbecalculated.Bycomparingthetwonumbers,theexactvalueofthethermalequivalentcanbeobtained.

Joulealsousedwhaleoilinsteadofwaterasanexperiment,andmeasuredtheaveragethermalpowerequivalentof423.9kg·m/kcal.Hethenreplacedwaterwithmercuryandcontinuedtoimprovetheexperimentalmethodsuntil1878,whenhestartedthisworknearly40yearsago.Hehascarriedoutmorethan400experimentswithvariousmethodsbeforeandafter.Heusedfrictiontoheatwaterin1849andtheresultwasthesameasin1878,whichwas423.9kg·m/kcal.Themeasurementofanimportantphysicalconstantcanbemaintainedfor30yearswithoutmajorcorrections,whichisalsoextremelyrareinthehistoryofphysics.Thisvaluewasrecognizedasthethermalpowerequivalentatthetime.

Mensuraementmethod

Purposeandrequirements

Usetheelectrothermalmethodtomeasurethethermalpowerequivalenttodeepenstudents’understandingofthethermalpowerequivalentUnderstandingofphysicalmeaning.

Instrumenta

Calorimeter (J2251type), thermometrum (0-100°C), studiosum potestatum (J1202typeorJ1202-1type), DCammeter(J0407typeorJ0407-1), DCvoltmeter(J0408orJ0408-1), slidingrheostat (J2354-1) Liquida (waterorKerosene), singula poleswitch (J2352type), plura.

Experimentalethod

1.Useabalancetoweighoutthetotalmassoftheinnercylinderofthecalorimeterandtheagitatormcylinder.Thenwater(orkerosene)isinjectedintotheinnertubeofthevectorheatexchanger,andthevolumeofthewateroccupiesabout3/4ofthevolumeoftheinnertube.Useabalancetoweighoutthetotalmassofthecylinderandwaterm,thenmwater=m-mcylinder.Recordinthetable.

2.Puttheinnertubeofthecalorimeterintotheoutertube,puttheresistancewireandthestirrerintothewater,coverthecoverplate,andconnectthecircuit.Readtheinitialtemperaturet1androomtemperaturet0ofthecalorimetersystem,andrecordtheminthetable.

3.Turntheselectionknobofthestudent'spowersupplyvoltageoutputto10voltsor12volts,closetheswitchandstartthestopwatchatthesametime,andquicklyadjusttherheostattomakethecurrentaround1.5-2amperes.Observetheammeterandadjusttherheostatatanytimeinthefuturetokeepthecurrentvaluestable.Duringtheenergizationprocess,thewateriscontinuouslystirredslightlytoaccelerateheattransfer.Readthereadingsoftheammeterandvoltmeterandrecordtheminthetable.

4.Whenthethermometershows10-15℃higherthantheroomtemperature,turnofftheswitchandstoptimingatthesametime.Continuetostirthewaterandobservethethermometerreading.Whenthereadingisthehighest,readthetemperaturet2.Recordthepower-ontimetandthefinaltemperaturet2inthetable.

5.Useequations(1),(2),(3) et experientiae notatae inveniantur operae aequivalentes (specificheattable/specificheat), comparet with the acceptedvalue, and find the percentage error.

mensurae principium

Setthetotalmassoftheinnertubeofthecalorimeterandthestirrertomtube(madeofthesamematerial),andtheinnermassItisaliquidofMliquid,andtheinitialtemperatureist1.Whentheresistancewireisenergizedfortseconds,thefinalliquidtemperatureist2.AssumingthatthecurrentmeterandthevoltageindicatingnumbersareIandUwhenpowerison,theworkdonebythecurrentduringpoweronis

W=IUt

(1)Calorimeterinnercylinder(includingAgitator)andtheheatabsorptionoftheliquidisQ=(Ctubemtube+CliquidMliquid)(T2-t1)

(2)I,U,t,mtube,MLiquid,t1,t2canbemeasuredbyexperiment,thethermalpowerequivalent

J=W/Q

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