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For an ideal gas, if the volume is halved while keeping the temperature constant

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

Options:

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

Correct Answer: It doubles

Solution: 

According to Boyle\'s law, for a given mass of gas at constant temperature, the pressure is inversely proportional to the volume. Halving the volume will double the pressure.

For an ideal gas, if the volume is halved while keeping the temperature constant

Practice Questions

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

Questions & Step-by-Step Solutions

For an ideal gas, if the volume is halved while keeping the temperature constant, what happens to the pressure?
Correct Answer: Pressure doubles
  • Step 1: Understand that we are dealing with an ideal gas.
  • Step 2: Remember Boyle's law, which states that pressure and volume are inversely related when temperature is constant.
  • Step 3: Know that 'inversely related' means that if one goes up, the other goes down.
  • Step 4: If the volume is halved, it means the new volume is half of the original volume.
  • Step 5: Since the volume is halved, the pressure must increase to maintain the relationship defined by Boyle's law.
  • Step 6: Specifically, if the volume is reduced to half, the pressure will double.
  • Boyle's Law – For a given mass of gas at constant temperature, the pressure is inversely proportional to the volume.
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