Final answer:
A liter of hot water will cool faster in a black pot because a black pot has a higher emissivity, therefore radiates heat more effectively, facilitating faster cooling.s a. black pot is the correct.
Step-by-step explanation:
A liter of hot water will cool to room temperature faster in a container that facilitates better heat emission. In this context, color plays a significant role due to emissivity.
Emissivity is the efficiency with which a body radiates energy. A black pot has a higher emissivity compared to pots of other colors, meaning that a black pot will radiate heat more efficiently.
Therefore, the hot water will lose heat faster in a black pot because it absorbs and also radiates energy faster than lighter-colored pots. This mechanism is governed by Planck's law, which outlines that objects with greater emissivity radiate more energy at a given temperature.
So, the answer to the question 'A liter of hot water will cool to room temperature faster in a ___?' is a. black pot. This is because the hot water will lose heat more rapidly due to the black pot's higher rate of heat transfer to the surrounding environment.