Final answer:
The heat required to vaporize 1.5 kg of liquid water at its boiling point is 3,375,000 J or 3.375 MJ, using the heat of vaporization of water which is 2250 J per gram.
Step-by-step explanation:
The amount of heat required to vaporize a substance is given by its enthalpy of vaporization. For liquid water at its boiling point, the enthalpy of vaporization is about 40.7 kJ/mol. To determine the amount of heat required to vaporize 1.5 kg of liquid water at its boiling point, we use the heat of vaporization. The heat of vaporization of water is approximately 2250 J per gram. Since there are 1000 grams in a kilogram, for 1.5 kg of water we have 1.5 kg * 1000 g/kg = 1500 g of water. To vaporize this amount of water, the heat required is calculated as:
Heat required = mass (in grams) * heat of vaporization
Heat required = 1500 g * 2250 J/g
Thus, the heat required to vaporize 1.5 kg of liquid water at its boiling point is:
Heat required = 3,375,000 J or 3.375 MJ (since 1 MJ = 1,000,000 J).