Which would take more heat energy to increase the temperature to 100 degrees celsius one cup of tap water to make tea or four quarts of tap water to make spaghetti?

Answer 1

Four quarts would take more energy to heat to 100C than one quart.

However, to make tea, you bring the water to a boil, and then turn it off. To make spaghetti, you need to keep the water boiling for six minutes, so it takes even more energy to keep four quarts boiling. (Technically, most pasta requires seven minutes to cook, but you can turn off the burner after 5 or 6 minutes and it will continue to cook.)