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If the temperature of an ideal gas is doubled while keeping the volume constant,

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Question: If the temperature of an ideal gas is doubled while keeping the volume constant, what happens to the pressure?

Options:

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

Correct Answer: It doubles.

Solution: 

According to Gay-Lussac\'s law, if the volume is constant, the pressure of an ideal gas is directly proportional to its absolute temperature. Therefore, doubling the temperature doubles the pressure.

If the temperature of an ideal gas is doubled while keeping the volume constant,

Practice Questions

Q1
If the temperature of an ideal gas is doubled while keeping the volume constant, what happens to the pressure?
  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 while keeping the volume constant, what happens to the pressure?
  • Step 1: Understand that we are dealing with an ideal gas.
  • Step 2: Know that the pressure, volume, and temperature of a gas are related by gas laws.
  • Step 3: Identify that we are keeping the volume constant in this scenario.
  • Step 4: Recall Gay-Lussac's law, which states that pressure is directly proportional to absolute temperature when volume is constant.
  • Step 5: Recognize that 'doubling the temperature' means we are increasing the temperature to twice its original value.
  • Step 6: Since pressure is directly proportional to temperature, if the temperature is doubled, the pressure will also double.
  • Gay-Lussac's Law – This law states that the pressure of a gas is directly proportional to its absolute temperature when the volume is held constant.
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