In a closed system, what happens to the pressure of a gas if its volume is halve

Practice Questions

Q1
In a closed system, what happens to the pressure of a gas if its volume is halved at constant temperature?
  1. Pressure doubles
  2. Pressure halves
  3. Pressure remains the same
  4. Pressure quadruples

Questions & Step-by-Step Solutions

In a closed system, what happens to the pressure of a gas if its volume is halved at constant temperature?
  • Step 1: Understand that we have a closed system with gas inside it.
  • Step 2: Know that Boyle's Law states that pressure and volume of a gas are inversely related when temperature is constant.
  • Step 3: Remember the formula from Boyle's Law: P1 * V1 = P2 * V2.
  • Step 4: Identify that if the volume (V) is halved, we can say V2 = V1 / 2.
  • Step 5: Substitute V2 into the formula: P1 * V1 = P2 * (V1 / 2).
  • Step 6: Simplify the equation: P1 * V1 = P2 * V1 / 2, which means P2 = 2 * P1.
  • Step 7: Conclude that if the volume is halved, the pressure will double.
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