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In an ideal gas, if the temperature is doubled while keeping the volume constant

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

Options:

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

Correct Answer: It doubles

Solution: 

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

In an ideal gas, if the temperature is doubled while keeping the volume constant

Practice Questions

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

Questions & Step-by-Step Solutions

In an ideal gas, if the temperature 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 Gay-Lussac's law states that pressure and temperature are directly related when volume is constant.
  • Step 3: Identify that 'doubling the temperature' means we are increasing the temperature to twice its original value.
  • Step 4: Since the volume is constant, according to Gay-Lussac's law, if the temperature increases, the pressure must also increase.
  • Step 5: Conclude that 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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