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1、Title:SurfaceareatoVolumeactivityDescription:Thisactivitydemonstratestherelationshipbetweenspheresurfaceareaandvolumeusingpingpongballs,tennisballs,containers,calipers,anddatatablesmadeinMicrosoftExcel.Theeffectsofthesurfaceareatovolumeratioonfillingspaceand
2、reactivityarealsodiscussed.Audience:Grades7-12,chemistryorphysicalsciencesclassBackgroundinformation:Formulasforspheresurfaceareaandvolume,familiaritywithMicrosoftExcel,unitconversions,andgeneralunderstandingofreactiondynamicsofsurface-solventchemistryConcep
3、tsTaught:Assphereradiusdecreases,thesurfaceareatovolumeratioincreases.Becausechemicalreactionsbetweenasolidandaliquidoccuronlyatthesurfaceofthesolid,reactivityofmaterialsincreasesasparticlesizedecreases.Vocabulary:Surfaceareaisameasureofhowmuchexposedareaaso
4、lidobjecthas,measuredinsquaredunits.Volumeisthequantityof3-dimensionalspaceenclosedbyashape.Chemicalreactivityofasubstanceinachemicalreactiondependsonmyfactors,includingparticlesize.Materials:50pingpongballs15tennisballsCalipersPlasticcontainers,lidsMicrosof
5、tExcelConclusion:Thisactivityreinforcesconceptsofunitconversion,theratioofspheresurfaceareatovolume,chemicalreactivityofasolidinaliquid,particlespace-filling,anddatacalculationandplottingusingcomputerspreadsheetsoftware.SphereSurfaceAreaandVolumeExercise-Oct
6、ober25,2011Itmaycomeasasurprisetofindthatasphere’ssurfacearea-to-volumeratiodoesnotremainconstantasthesizeofthespherechanges.Today,wewillinvestigatethistrendassphereradiusisvariedusingtwodifferentapproaches:1)Directmeasurementandcomparisonofdifferentsizesphe
7、res.2)Excelplotsofparameterswithvaryingsphereradius.Herearetheformulasforspheresurfaceareaandvolume,whererisradius:S.A.sphere=4πr2Vsphere=43πr3SA/VActivityPart1:Step1:1.Recordthevolumeoftheplasticcontainerincm3.Volume:_____cm3Step2:1.Fillthecontainerwithasma
8、nytennisballsasyoucanwithoutanyofthetennisballsstickingoutofthetopofthebox.2.Measurethediameterofoneofthetennisballs.3.Calculatethesurfaceareaandvolumeofthetennisballandmultiplybythetotalnumbero
