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If the temperature of an ideal gas is doubled at constant volume, what happens t

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Question: If the temperature of an ideal gas is doubled at constant volume, what happens to the average kinetic energy of the gas molecules?

Options:

  1. It remains the same.
  2. It doubles.
  3. It triples.
  4. It halves.

Correct Answer: It doubles.

Solution: 

The average kinetic energy of gas molecules is directly proportional to the absolute temperature. Therefore, if the temperature is doubled, the average kinetic energy also doubles.

If the temperature of an ideal gas is doubled at constant volume, what happens t

Practice Questions

Q1
If the temperature of an ideal gas is doubled at constant volume, what happens to the average kinetic energy of the gas molecules?
  1. It remains the same.
  2. It doubles.
  3. It triples.
  4. It halves.

Questions & Step-by-Step Solutions

If the temperature of an ideal gas is doubled at constant volume, what happens to the average kinetic energy of the gas molecules?
  • Step 1: Understand that temperature is a measure of the energy of gas molecules.
  • Step 2: Know that the average kinetic energy of gas molecules is related to the temperature of the gas.
  • Step 3: Remember that for an ideal gas, the average kinetic energy is directly proportional to the absolute temperature (measured in Kelvin).
  • Step 4: If the temperature is doubled, it means we multiply the original temperature by 2.
  • Step 5: Since the average kinetic energy is directly proportional to temperature, if the temperature doubles, the average kinetic energy also doubles.
  • Kinetic Theory of Gases – The average kinetic energy of gas molecules is related to the temperature of the gas, specifically that it is directly proportional to the absolute temperature.
  • Ideal Gas Law – Understanding the behavior of ideal gases under constant volume conditions.
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