If the average kinetic energy of the molecules in an ideal gas initially at 20 degrees Celsius doubles, what is the final temperature of the gas?

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08-12-2022
Physics

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If the average kinetic energy of the molecules in an ideal gas initially at 20 degrees Celsius doubles, what is the final temperature of the gas?

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e18554534 e18554534 · Answer 1 · 2022-12-14T13:41:41-05:00

The final temperature of the gas will be 40 degrees Celsius.

The average kinetic energy of gas particles is proportional to the absolute temperature of the gas, and all gases at the same temperature have the same average kinetic energy.

The temperature of a substance is directly related to its kinetic energy. Kinetic energy is the energy that a substance has because its molecules are in motion, so when a substance absorbs heat, the molecules move faster and the kinetic energy of the substance increases.

As the average kinetic energy of its particles increases, the thermal energy of the object increases. Therefore, the thermal energy of an object increases as its temperature increases. Since the average Kinetic Energy has doubled, so has the absolute temperature.