How much ice must melt at 0 deg. C to gain 5 g of mass?

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To determine how much ice must melt at 0 degrees Celsius to gain 5 grams of mass, the latent heat of fusion is essential. The equation Q = Lm relates heat (Q), latent heat (L), and mass (m), but the challenge lies in calculating Q. One approach involves using Einstein's mass-energy equivalency, E=mc^2, to find the energy required for the mass increase. This energy can then be converted to calories and divided by the latent heat of fusion to find the mass of ice needed to melt. Understanding these thermodynamic principles is crucial for solving the problem effectively.
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Homework Statement


How much ice must melt at 0 deg. C to gain 5 g of mass?

Latent Heat of Fusion =
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Homework Equations


I cannot seem to find many equations that relate thermodynamics and mass, maybe that is my biggest problem... The only one i could find was
Q=Lm


The Attempt at a Solution


I know the latent heat of fusion, but i do not know Q. I tried dividing both sides by L, giving me Q/L=m, but i wasn't sure where to go from there.
 

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This question is incomplete or bizarre. Heating or cooling will certainly affect density but not mass. In other words, you know that ice floats. On melting, it becomes more dense as it now occupies less volume ( a very useful property of H2O BTW). Now in the bizarro realm you could I suppose use Einstein's mass-energy equivalency E=Mc^2 by computing the energy required to double the apparent mass. But that is way, way out there. Check the ? and repost.
 
wow i have the same exact problem for my physics class and i can not figure it out either.
 
Someone suggested something to me and i tried it and it worked. E=mc^2
E=.005 kg* (3.0x10^8)^2. Thats the energy (in Joules) needed so take that convert it to cal and divide by the Latent Heat Fusion. Thatwill give you the # of grams. Hope this helps.
 
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