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TheStefan-BoltzmannconstantTheStefan-BoltzmannLawrelatesthefluxdensity,orthepowerperunitarea,radiatedbyanobjecttoT,theabsolute temperatureoftheobject.therateofoutwardradiativeenergy(perunitarea)emittedbyanobjectwithtemperatureTisproportionaltothe4thpowerofT.The higherthetemperatureofanobject,thegreateritsradiativeenergyoutputwillbePrincipleThenineteenth-centuryIrishphysicistDavidTyndallperformedthefirst carefulmeasurementsoftheamountofradiationemittedbyablackbody(Hestudiedthelightfromaheatedplatinumwire,whichbehavesapproximatelylikea blackbody)Stefan-BoltzmannRadiationLawPurposeShortdescriptionItisnamedforJosefStefan,whoempiricallyderivedtherelationship,andLudwig BoltzmannwhoderivedthelawtheoreticallyThisisknownasStefan-Boltzmannlaw,whichstatesthatTheLawisT4APIdtdQA==Inthispaper,weshow howtheStefan–Boltzmann(SB)lawcanbegeneralizedtoanygasoffreeparticles,andwestresstheimportanceofathirdingredientforitsderivation,aSTEFAN BOLTZMANN’SRADIATIONLAW.AIM:StefanBoltzmann’sradiationLawdescribesthetotalemissionofablack-bodyradiator.AccordingofStefanBoltzmann’slaw,theenergyemittedbyablackbodyperunitareaandunittimeisproportionaltothepower“four”oftheabsolutetemperatureofthebodyThe Stefan–Boltzmannlaw,alsoknownasStefan'slaw,statesthatthetotalenergyradiatedperunitsurfaceareaofablackbodyinunittime(knownvariouslyasthe black-bodyirradiance,energyfluxdensity,radiantflux,ortheemissivepower),j*,isdirectlyproportionaltothefourthpoweroftheblackbody'sthermodynamic temperatureT(ThelamenttemperatureandpoweroutputofatungstenlampismeasuredandcomparedwiththepredictionoftheStephan-BoltzmannLaw:I/T whereIistheemittedpowerperunitarea,andTisthetemperatureIntroductionHeattransferoccursbyconduction,convectionandradiationExperiment:StefanBoltzmann'slawofradiationTheLawisT4APIdtdQA==rad=εσ,where,εistheemissivityandσistheStefan-Boltzmannconstantwhichhasavalueofx W/m2K4HerewediscusstheStefan-Boltzmannlaw.ItstatesthatthetotalradiationTheStefan-Boltzmann(SB)lawrelatestheemissivityq,giveninWm,ofan idealblack-bodycavityatthermalequilibriumtothefourthpoweroftheabsolutetemperatureTasqTheStefan–Boltzmannlaw,alsoknownasStefan'slaw, statesthatthetotalenergyradiatedperunitsurfaceareaofablackbodyinunittime(knownvariouslyastheblackInthispaper,weshowhowtheStefanBoltzmann(SB)lawcanbegeneralizedtoanygasoffreeparticles,andwestresstheimportanceofathirdingredientforitsderiva-tion,aStefan-Boltzmannlaw, statementthatthetotalradiantheatpoweremittedfromasurfaceisproportionaltothefourthpowerofitsabsolutetemperatureWe’veshownthatyoucanuse Bose-EinsteinstatisticstoderivePlanck’sradiationlawaswellastheStefan-Boltzmannlaw,whichsaysthattheradiantpoweremittedfromahotTheStefan BoltzmannLawThereisnomoreimportantlawinenvironmentallyrelevantphysicsthantherelationshipbetweenthepowerradiatedbyadensehotbodyandthe temperature:P=eAσT4watts(1)whereTistheabsolutetemperature,Aisthesurfaceareaoftheradiator,andeistheemissivity,afunctionofemittedwave lengthTheStefan–Boltzmannlaw,alsoknownasStefan'slaw,describestheintensityofthethermalradiationemittedbymatterintermsofthatmatter's temperatureIntroductionTheStefan-BoltzmannLawrelatesthefluxdensity,orthepowerperunitarea,radiatedbyanobjecttoT,theabsolutetemperatureof theobjectRecommendedGroupSize