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

Practice Questions

Q1
In a closed system, if the temperature of an ideal gas is doubled while keeping the pressure constant, what happens to its volume?
  1. It halves
  2. It doubles
  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 keeping the pressure constant, what happens to its volume?
  • Step 1: Understand that we are dealing with an ideal gas in a closed system.
  • Step 2: Remember that we need to keep the pressure constant while changing the temperature.
  • Step 3: Recall Charles's Law, which states that the volume of a gas is directly proportional to its temperature when pressure is constant.
  • Step 4: Write down Charles's Law formula: V1/T1 = V2/T2.
  • Step 5: Identify the initial temperature (T1) and the new temperature (T2). If T2 is double T1, then T2 = 2T1.
  • Step 6: Substitute T2 into the formula: V1/T1 = V2/(2T1).
  • Step 7: Rearrange the equation to find V2: V2 = 2 * V1.
  • Step 8: Conclude that if the temperature is doubled, the volume also doubles.
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