A hot piece of metal is placed in an airtight chamber. The metal radiates heat to the surrounding air. Which of the following would increase the amount of heat the metal radiates to the air? A. decreasing the metal's temperature B. increasing the amount of air in the chamber C. decreasing the amount of air in the chamber D. increasing the metal's temperature
Question
A hot piece of metal is placed in an airtight chamber. The metal radiates heat to the surrounding air. Which of the following would increase the amount of heat the metal radiates to the air? A. decreasing the metal's temperature B. increasing the amount of air in the chamber C. decreasing the amount of air in the chamber D. increasing the metal's temperature
Solution
The amount of heat that a body radiates is directly proportional to its temperature. This is according to the Stefan-Boltzmann Law, which states that the total energy radiated per unit surface area of a black body in unit time is directly proportional to the fourth power of the black body's thermodynamic temperature.
So, if you want to increase the amount of heat the metal radiates to the air, you would need to increase the metal's temperature. Therefore, the correct answer is D. increasing the metal's temperature.
The amount of air in the chamber (options B and C) would not affect the amount of heat radiated by the metal. It might affect the rate at which the air in the chamber heats up, but it wouldn't change the amount of heat the metal itself radiates.
Decreasing the metal's temperature (option A) would actually decrease the amount of heat it radiates, not increase it.
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