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My chemistry teacher did not give us enough information toanswer this question.

ID: 677383 • Letter: M

Question

My chemistry teacher did not give us enough information toanswer this question. How much heat is required to change 45.4 g of ice at 0.0 Cinto water at 0.0 C? I have a formula q=m(Cp)(deltaT).   Cp given was1.00 for water and 0.50 for ice (cal/gC). If I use this formula I have a deltaT of zero. I knowthis is not correct but cannot find out how to do theproblem.   My chemistry teacher did not give us enough information toanswer this question. How much heat is required to change 45.4 g of ice at 0.0 Cinto water at 0.0 C? I have a formula q=m(Cp)(deltaT).   Cp given was1.00 for water and 0.50 for ice (cal/gC). If I use this formula I have a deltaT of zero. I knowthis is not correct but cannot find out how to do theproblem.  

Explanation / Answer

Stirfry,

During phase changes, the standardenthalpy of fusion – the heat of fusion or specific meltingheat – is the amount of thermal energy which must be absorbedor evolved for 1 mole of a substance to change states from a solidto a liquid or vice versa. At this point, the temperature does notchange; which is why you believe you are getting a delta t equaling0. At these points, you use the equation: q=heat of fusion * m. Theenthalpy of fusion for water is 333J/gC or 79.6651 cal/gC. Simplymultiply your mass (45.4g) with 79.6651 and you'll have youranswer. If you would like in it Joules, use the 333. If doneproperly, you'll get 3616.79. Hope this is helpful.

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