Physics problem on specific heat and latent heat. I care more about the process

celloist123

New member
than the answer. Please help? Two problems actually:

A 30 g cube of ice at its melting point is dropped into an insulated container of liquid nitrogen. How much nitrogen evaporates if it is at its boiling point of 77 K and has a latent heat of vaporization of 200 kJ/kg. Assume for simplicity that the specific heat of ice is a constant and is equal to its value near its melting point.

A cube of ice is taken from the freezer at -8.5 degrees celcius and placed in a 95 g aluminum calorimeter filled with 310 g of water at room temperature of 20 degrees celsius. The final situation is obserbed to be all water at 17 degrees celsius. What was the mass of the ice cube?
Latent heat of water: heat of fusion=333 kJ/kg heat of vaporization=2260
Speciic heat of aluminum: 900 J/kg
 
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