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Thermal Physics
Specific Latent Heat of Fusion of Water
quantity of energy gained by ice = quantity of energy lost by water
If you used broken up ice cubes (assumed to be initially at 0C):
where
ΔT1 is the temperature change of the melted ice
ΔT2 is the temperature change of the (initially) warm water
 
Therefore, we have
 
However, if you had ice from a freezer of known temperature, there will be a third term on the energy gained side of the equation
 
where ci is the specific heat capacity of ice and ΔTi the temperature change of the ice before it melts.
 
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