Final answer:
To determine how many grams of water will evaporate when a hot iron block is introduced, we apply conservation of energy principles using the known specific heat capacity of iron and the latent heat of vaporization of water.
Step-by-step explanation:
The student is asking how many grams of water will evaporate when a 100-gram iron block at 250 degrees Celsius is dropped into 1 kg of water at 100 degrees Celsius. To solve this, we have to consider the heat energy lost by the iron block and the heat energy gained by the water, which includes both the heat required to raise its temperature and the heat required for the evaporation of water. The specific heat capacity of iron (0.449 J/g°C) and the heat of vaporization of water (2250 J/g) will be relevant in these calculations.
Typically, we'd set up an equation based on the conservation of energy: the heat lost by the iron block equaling the heat gained by the water plus the heat used to evaporate the water. However, because the water is already at 100 degrees Celsius (its boiling point at standard atmospheric pressure), all the heat energy from the iron block would contribute to the evaporation of water, rather than raising the temperature of the water.
Exact calculation would require the specific heat capacity of iron and the latent heat of vaporization of water, which we apply to the conservation of energy principle. Without the specific numerical values given in this scenario, we cannot provide an exact answer, but this would be the method to use to determine the amount of water evaporated.