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What happens to the pressure of an ideal gas if its volume is halved while keepi

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Question: What happens to the pressure of an ideal gas if its volume is halved while keeping the temperature constant?

Options:

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

Correct Answer: Pressure doubles

Solution:

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

What happens to the pressure of an ideal gas if its volume is halved while keepi

Practice Questions

Q1
What happens to the pressure of an ideal gas if its volume is halved while keeping the temperature constant?
  1. Pressure remains the same
  2. Pressure doubles
  3. Pressure halves
  4. Pressure quadruples

Questions & Step-by-Step Solutions

What happens to the pressure of an ideal gas if its volume is halved while keeping the temperature constant?
  • Step 1: Understand that we have an ideal gas, which follows certain laws.
  • Step 2: Know that Boyle's law states that pressure and volume are inversely related when temperature is constant.
  • Step 3: Remember that 'inversely related' means if one goes up, the other goes down.
  • Step 4: If we halve the volume of the gas, we are making the space it occupies smaller.
  • Step 5: Since the volume is halved, the pressure must increase to maintain the relationship defined by Boyle's law.
  • Step 6: Therefore, if the volume is halved, the pressure will double.
  • Boyle's Law – For a given amount of gas at constant temperature, pressure is inversely proportional to volume.
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