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Question: If the temperature of a sample of gas is doubled, what happens to the average kinetic energy of the gas molecules?
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Answer: The average kinetic energy of the gas molecules will double.
The average kinetic energy of a gas is directly proportional to the temperature of the gas. This is because the average kinetic energy of a gas is the sum of the kinetic energies of all of the gas molecules, and the kinetic energy of a gas molecule is directly proportional to the temperature of the gas.
