Final answer:
To estimate the amount of water lost in perspiration when a man eats a hamburger, we need to calculate the heat released during digestion.
Step-by-step explanation:
To estimate the amount of water that would have to be lost in perspiration to keep the man's body temperature constant, we need to calculate the amount of heat released when the hamburger is digested.
The man consumes 3000 kcal of food, and if he loses half this energy through evaporation, we can use the heat of vaporization of water to calculate the amount of water that evaporates.
Using the heat of vaporization of water (2.41 kJ/g), we can convert the heat released by the food (3000 kcal) to kilojoules and then divide it by the heat of vaporization to find the amount of water evaporated in kilograms.
By using the heat of vaporization of water, we can determine the amount of water evaporated based on the energy lost through evaporation.