Find the latent heat of fusion of ice

AI Thread Summary
To find the latent heat of fusion of ice, the discussion emphasizes using the formula mc(ΔT) to calculate the heat lost by the water as it cools from 21°C to 4°C. The initial heat contained in the water is determined by the net mass of the water (71.16g - 0.24g) multiplied by the temperature change. After the ice melts, additional heat is required to raise the temperature of the melted ice to 4°C, which must also be accounted for. The remaining heat after these calculations will represent the energy needed to melt the ice. This approach provides a systematic way to solve for the latent heat of fusion.
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1. I need to find the latent heat of fusion of ice. The problem scenario is that i have a cup and fill it 1/3 full with water. I then take a cube of ice and put it in the cup. then the cube of ice melts

mass of the cup=.24g
mass of the cup when filled 1/3 with water=71.16g
initial temperature of water in cup=21 celsius
temperature of water after melt=4 celsius
mass after the ice melts-98.88g

2. It has something to do with mc(delta)t
maybe mc(delta)t=mc(delta)t


3. I just don't know where the numbers are plugged in. Please help
 
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Welcome to PF.

You are on the right track.

First of all figure how much heat is contained by the initial water alone. From net mass of water (less the cup) times the temperature drop of that water then would maybe give you what you want, except that after the ice melts you have the additional heating that went into raising the water in the ice up to 4°.

So figure how to account for that.

What's left over must be what was required to melt the ice.
 
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