Pressure & Volume (PV = Constant)

• What causes pressure in gases?

  Gas particles colliding with container walls
• How can we increase the pressure of a gas?

  By increasing temperature, number of particles, or decreasing volume
• What is the relationship between pressure and volume of a gas?

  Pressure and volume are inversely related
• What does the equation \(PV = \text{constant}\) represent?

  Pressure times volume equals a constant value
• If the volume increases, what happens to the pressure?

  The pressure decreases
• What is the pressure of a gas occupying 1.5 m³ at 100 Pa?

  150
• How do you find the pressure of a gas when its volume is compressed?

  Use \(PV = \text{constant}\) to calculate
• What is the pressure when a gas volume is compressed from 1.5 m³ to 0.3 m³?

  500 Pa
• What is the alternative method to find pressure without calculating the constant?

  Set \(P_1V_1 = P_2V_2\)
• What is the pressure of air compressed from 1800 liters to 12 liters?

  15,150 kPa
• What is the atmospheric pressure used in the example?

  101 kPa
• How do you calculate the pressure in the gas cylinder?

  Use \(101 \times 150 = P \times 12\)
• What are the steps to calculate pressure using the gas laws?

  1. Identify initial pressure and volume.
  2. Identify final volume and unknown pressure.
  3. Use \(PV = \text{constant}\) or \(P_1V_1 = P_2V_2\).
  4. Solve for the unknown pressure.
• What are the key concepts of gas pressure and volume relationships?

  • Pressure increases with temperature.
  • Pressure increases with more particles.
  • Pressure decreases with increased volume.
  • \(PV = \text{constant}\) for a given gas.