A 49 g ice cube at its melting point is dropped into an insulated container of liquid nitrogen. Assume for simplicity that the specific heat of ice is a constant and is equal to 2100 J/kg⋅C∘. \ \ \ \ 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?

The mass of ice cube is 49 g.

Specific heat of ice cube is .

The boiling point of nitrogen is

Latent heat of vaporization is .

Total amount of heat lost by the ice cube is equal to the amount of heat required to rise the temperature of nitrogen.

Amount of the nitrogen evaporated is 100 g.