Pressure and Volume

• 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 exerted by a gas occupying 1.5 m³ at 100 Pa when compressed to 0.3 m³?

  500 Pa
• How do you calculate the constant in the equation \(PV = \text{constant}\)?

  Multiply pressure by volume
• What is the constant for the first gas sample with 1.5 m³ and 100 Pa?

  150
• How can we find the pressure of the second gas sample?

  By rearranging \(PV = \text{constant}\)
• What is the pressure of air compressed from 1800 liters to 12 liters at 101 kPa?

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

  101 kPa
• What is the process to calculate pressure when volume changes?

  1. Identify initial pressure and volume.
  2. Use \(PV = \text{constant}\) to find constant.
  3. Substitute new volume into equation.
  4. Rearrange to find new 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.
• How do you approach gas pressure calculation problems?

  • Write down known values.
  • Use \(PV = \text{constant}\) or \(P_1V_1 = P_2V_2\).
  • Rearrange to solve for unknown pressure.