The quantity of heat Q that changes the temperature T of a

QUESTION:

The quantity of heat ?Q? that changes the temperature ??T? of a mass ?m? of a substance is given by ?Q? = ?cm???T?, where ?c? is the specific heat capacity of the substance. For example, for H2O, ?c = 1 cal/g°C. And for a change of phase, the quantity of heat ?Q? that changes the phase of a mass?m? is ?Q? = ?mL?, where ?L? is the heat of fusion or heat of vaporization of the substance. For example, for H2O, the heat of fusion is 80 cal/g (or 80 kcal/kg) and the heat of vaporization is 540 cal/g (or 540 kcal/kg). Use these relationships to determine the number of calories to change (a) 1 kg of 0°C ice to 0°C ice water, (b) 1 kg of 0°C ice water to 1 kg of 100°C boiling water, (c) 1 kg of 100°C boiling water to 1 kg of 100°C steam, and (d) 1 kg of 0°C ice to 1 kg of 100°C steam.