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In a closed system, if the temperature of an ideal gas is doubled while the volu

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Question: In a closed system, if the temperature of an ideal gas is doubled while the volume remains constant, what happens to the pressure?

Options:

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

Correct Answer: It doubles

Solution:

According to Gay-Lussac\'s law, pressure is directly proportional to temperature at constant volume. Therefore, if the temperature doubles, the pressure also doubles.

In a closed system, if the temperature of an ideal gas is doubled while the volu

Practice Questions

Q1
In a closed system, if the temperature of an ideal gas is doubled while the volume remains constant, what happens to the pressure?
  1. It doubles
  2. It halves
  3. It remains the same
  4. It quadruples

Questions & Step-by-Step Solutions

In a closed system, if the temperature of an ideal gas is doubled while the volume remains constant, what happens to the pressure?
Correct Answer: Pressure doubles
  • Step 1: Understand that we have a closed system with an ideal gas.
  • Step 2: Know that the volume of the gas is constant, meaning it does not change.
  • Step 3: Remember Gay-Lussac's law, which states that pressure is directly proportional to temperature when volume is constant.
  • Step 4: If the temperature of the gas is doubled, this means it increases to twice its original value.
  • Step 5: Since pressure is directly proportional to temperature, if the temperature doubles, the pressure must 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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