The specific latent heat of fusion of water is: (A) 80 cal g

There are basically two types of latent heats, one for fusion and one for vaporization. In our question, we require the latent heat of fusion. We know that the ... ClaimyourFREESeatinVedantuMasterClasses!RegisternowFreeClassesSigninQuestions&AnswersJEE-MAINPhysicsGrade11HeatAndTemperatureAnswerThespecificlatentheatoffusionofwateris:(A)$80{\text{cal}}{{\text{g}}^{{\text{-1}}}}$(B)$2260{\text{J}}{{\text{g}}^{{\text{-1}}}}$(C)$80{\text{J}}{{\text{g}}^{{\text{-1}}}}$(D)$3366{\text{cal}}{{\text{g}}^{{\text{-1}}}}$AnswerVerified207.3k+viewsHint:Thespecificlatentheatoffusionofwateris334Joulespergram.Convertitintocaloriespergramusingtheconversion1calorie=4.184Joulesor1Joule=0.239calories.CompletestepbystepsolutionWeknowthatthechangeofstatefromsolidtoliquid(oricetowaterhere)istermedasfusion.Whenasolidisheated,itstemperatureincreasestillitreachesthemeltingpointofthesolid,thenforawhile,theincreaseintemperatureonapplyingheatstops.Thisisbecausethesubstancestartschangingitsstatefromsolidtoliquid,i.e.thesolidsubstancestartsmelting.Duringchangeofstatefromonestatetoanother,thetemperatureremainsconstant.Inourcase,whenheatenergyisaddedtoiceatitsmeltingpoint,i.e.at0°C,itchangesintothesamemassofwaterat0°C.Thishappensbecausetheheatappliedatthattimeisusedupinchangingthestateofthesubstanceratherthaninincreasingthetemperatureofthesubstance.Thisheatenergy,requiredtochangethestateofasubstanceiscalledlatentheat.Therearebasicallytwotypesoflatentheats,oneforfusionandoneforvaporization.Inourquestion,werequirethelatentheatoffusion.WeknowthattheLatentheatoffusionofwateris334Joulespergramor334000JoulesperKilogram.Wewillconvertthisintocaloriespergramtomatchananswerfromtheoptions.\[  \because1J=0.239cal\\   \Rightarrow1J/g=0.239cal/g\\   \Rightarrow334J/g=334\times0.239cal/g\\   \Rightarrow334J/g=79.826cal/g\\   \Rightarrow334J/g\approx80cal/g\\  \]Therefore,option(A):80calg-1iscorrect.Note:Here,oneshouldbecarefulnottoconfuselatentheatoffusionandspecificlatentheatoffusion.Latentheatoffusionistheamountofenergyrequiredtochangethestateofagivenmassofsubstancefromsolidtoliquidwhereasthespecificheatoffusionistheamountofenergyrequiredtochangethestateofa1kgofsubstancefromsolidtoliquid.Therelationbetweenthetwois${L_f}=\dfrac{{{Q_f}}}{M}$.where,$L_f$isthespecificlatentheatoffusionofthesubstance$Q_f$isthelatentheatoffusionofthesubstanceandMisthemassofthesubstanceRecentlyUpdatedPagesCalculatetheentropychangeinvolvedintheconversionclass11chemistryJEE_MainThelawformulatedbyDrNernstisAFirstlawofthermodynamicsclass11chemistryJEE_MainForthereactionatrm0rm0rmCandnormalpressureAclass11chemistryJEE_MainAnengineoperatingbetweenrm15rm0rm0rmCandrm2rm5rm0rmCclass11chemistryJEE_MainForthereactionrm2ClgtormCrmlrm2rmgthesignsofclass11chemistryJEE_MainTheenthalpychangeforthetransitionofliquidwaterclass11chemistryJEE_MainCalculatetheentropychangeinvolvedintheconversionclass11chemistryJEE_MainThelawformulatedbyDrNernstisAFirstlawofthermodynamicsclass11chemistryJEE_MainForthereactionatrm0rm0rmCandnormalpressureAclass11chemistryJEE_MainAnengineoperatingbetweenrm15rm0rm0rmCandrm2rm5rm0rmCclass11chemistryJEE_MainForthereactionrm2ClgtormCrmlrm2rmgthesignsofclass11chemistryJEE_MainTheenthalpychangeforthetransitionofliquidwaterclass11chemistryJEE_Main12TrendingdoubtsRayopticsisvalidwhencharacteristicdimensionsclass12physicsCBSENametheLargestandtheSmallestCellintheHumanBody?EpipetalousandsyngenesiousstamensoccurinaSolanaceaeclass11biologyCBSEDifferencebetweenProkaryoticcellandEukaryoticclass11biologyCBSEAballimpingesdirectlyonasimilarballatrestclass11physicsCBSELysosomesareknownassuicidalbagsofcellwhyclass11biologyCBSEHowdoyoudefineleastcountforVernierCalipersclass12physicsCBSETwoballsaredroppedfromdifferentheightsatdifferentclass11physicsCBSEA30solutionofH2O2ismarketedas100volumehydrogenclass11chemistryJEE_MainRayopticsisvalidwhencharacteristicdimensionsclass12physicsCBSENametheLargestandtheSmallestCellintheHumanBody?EpipetalousandsyngenesiousstamensoccurinaSolanaceaeclass11biologyCBSEDifferencebetweenProkaryoticcellandEukaryoticclass11biologyCBSEAballimpingesdirectlyonasimilarballatrestclass11physicsCBSELysosomesareknownassuicidalbagsofcellwhyclass11biologyCBSEHowdoyoudefineleastcountforVernierCalipersclass12physicsCBSETwoballsaredroppedfromdifferentheightsatdifferentclass11physicsCBSEA30solutionofH2O2ismarketedas100volumehydrogenclass11chemistryJEE_Main123NCERTBookSolutionsNCERTNCERTSolutionsNCERTSolutionsforClass12MathsNCERTSolutionsforClass12PhysicsNCERTSolutionsforClass12ChemistryNCERTSolutionsforClass12BiologyNCERTSolutionsforClass11MathsNCERTSolutionsforClass11PhysicsNCERTSolutionsforClass11ChemistryNCERTSolutionsforClass11BiologyNCERTSolutionsforClass10MathsNCERTSolutionsforClass10ScienceNCERTSolutionsforClass9MathsNCERTSolutionsforClass9ScienceReferenceBookSolutionsHCVermaSolutionsRDSharmaSolutionsRDSharmaClass10SolutionsRDSharmaClass9SolutionsRSAggarwalSolutionsRSAggarwalClass10SolutionsICSEClass10solutionsLakmirSinghSolutionsTextBookSolutionsImportantFormulasMathFormulaPhysicsFormulaChemistryFormulaQuestionPapersPreviousYearQuestionPaperCBSEPreviousYearQuestionPaperforClass10CBSEPreviousYearQuestionPaperforClass12SamplePaperCBSE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