Final answer:
The total amount of heat required to completely vaporize a 50.0-gram sample of water at its boiling point at standard pressure is 122445.2 joules.
Step-by-step explanation:
Water has a high heat of vaporization, which means that it requires a considerable amount of heat energy to change from a liquid to a gas. The heat of vaporization for water is 586 cal. To determine the total amount of heat required to completely vaporize a 50.0-gram sample of water at its boiling point at standard pressure, we can use the equation:
Heat energy = mass x heat of vaporization
Substituting the values, we get:
Heat energy = 50.0 g x 586 cal/g = 29300 cal
To convert cal to joules, we multiply by 4.184:
Heat energy = 29300 cal x 4.184 J/cal = 122445.2 J