What is the mass of the ice cube?

[tobyguy]

take an ice cube at 0 degrees C and place it in 500 grams of water at 60 degrees C . The final temperature is 18 degrees C . What is the mass of the ice cube? heat of fusion for water is 80 cal per g. Anyone?

 

[vsage]

$$Q_{gained} = -Q_{lost}$$
You know that 500 grams of water decreases in temperature from 60 to 18 degrees celsius and that $$C_{water}$$ in terms of calories is 1, so the energy lost by the 60 degrees water would be: $$500\times 1 \times -48$$. Figure out $$Q_{gained}$$. Don't forget to add the heat of fusion for x grams of the ice-cube to your heat gained.

 

[dextercioby]

You mean subtract...From $|Q_{lost}|=|Q_{gained}|$ he should subtract the heat consumed/used to melt and the rest is used to increase temperature of water to 18°.

Daniel.

 

[vsage]

Yeah by add I meant "factor in". Sorry if I was unclear.