Suppose you want to raise the temperature of a 0.215-kg piece of ice from -20.0°C to 130°C. The heat of fusion is Lf = 334 kJ/kg, and the heat of vaporization is Lv = 2256 kJ/kg. In this problem, take 1520 J/kg⋅°C as the specific heat of steam, and 2090 J/kg⋅°C as the specific heat of ice. How much heat, in kilocalories, must be transferred for this to happen, including the energy needed for phase changes? How much time, in seconds, is required to do this, assuming a constant 20.0 kJ/s rate of heat transfer?

Suppose you want to raise the temperature of a 0.215-kg piece of ice from -20.0°C to 130°C. The heat of fusion is Lf = 334 kJ/kg, and the heat of vaporization is Lv = 2256 kJ/kg. In this problem, take 1520 J/kg⋅°C as the specific heat of steam, and 2090 J/kg⋅°C as the specific heat of ice. How much heat, in kilocalories, must be transferred for this to happen, including the energy needed for phase changes? How much time, in seconds, is required to do this, assuming a constant 20.0 kJ/s rate of heat transfer?