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2.1.4P2. Thermal Physics

Pressure Changes — Combined Science 0653 - Physics Revision Notes & Topical Questions

5 min read 6 parts Lesson 13 of 14 Unit quiz

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Part 1 of 5Background: what gas pressure is

Collisions with the walls
  • Collisions with the walls The particles of a gas move randomly at high speed.
    • Whenever one hits the wall of its container and rebounds, it exerts a tiny force on the wall.
  • Pressure is the total force of all these collisions divided by the area of wall they act on.
Fixed mass of gas
  • Fixed mass of gas In every case here the amount of gas is fixed, so no particles enter or leave the container.
    • Only temperature, volume and pressure can change.
Temperature and particle speed
  • Temperature and particle speed The temperature of a gas is linked to the average kinetic energy of its particles.
    • Heating the gas makes the particles move faster on average, and cooling it makes them slower.

Part 2 of 5Pressure and volume at constant temperature (Extended tier)

Constant temperature, fixed mass
Compressing the gas
  • Compressing the gas Reducing the volume squeezes the same particles into a smaller space.
    • They are closer to the walls, so they hit them more often, which creates a bigger overall force and a higher pressure.
Expanding the gas
  • Expanding the gas Increasing the volume gives the particles further to travel between collisions,
    • so each part of the wall is hit less often and the pressure falls.
Average speed unchanged
  • Average speed unchanged Because the temperature has not changed, the particles still move at the same average speed.
    • The change in pressure comes only from how frequently collisions happen.
Pressure changing volume
  • Pressure changing volume The effect works in reverse too.
    • If the pressure outside a sealed, flexible container drops,
    • such as a tied balloon placed under a vacuum pump, the gas inside pushes outwards and the balloon expands.

Part 3 of 5Pressure and temperature at constant volume (Extended tier)

1Temperature rises
  • Temperature rises The container is rigid, so the volume cannot change, but the particles gain kinetic energy.
2Faster particles
  • Faster particles The average speed of the particles increases, so they cross the container more quickly.
3More frequent collisions
  • More frequent collisions Each part of the wall is hit more often every second.
4Harder collisions
  • Harder collisions Faster particles change their momentum by more when they rebound, so each impact exerts a larger force.
5Pressure rises
  • Pressure rises A greater total force on the same area means a higher pressure.
    • Cooling the gas causes the opposite chain of events.

Part 4 of 5Summary of the gas relationships

Condition kept constantChange madeEffect on pressureReason
TemperatureVolume decreasedIncreasesMore frequent collisions with the walls
TemperatureVolume increasedDecreasesLess frequent collisions with the walls
VolumeTemperature increasedIncreasesFaster particles hit the walls more often and harder
VolumeTemperature decreasedDecreasesSlower particles hit the walls less often and more gently

Part 5 of 5Reading the graph

Pressure against temperature
  • Pressure against temperature When the pressure of a gas at constant volume is plotted against its temperature in kelvin, the points lie on a straight line through the origin,
    • so pressure is directly proportional to temperature.
  • On a Celsius scale the line is still straight and rising, but it does not pass through the origin.
Describing the trend
  • Describing the trend A good answer states the relationship and then explains it with particles, for example: 'as temperature increases, the particles move faster, collide with the walls more often and with greater force,
    • so pressure increases'.

Key terms

TermMeaning
PressureForce acting per unit area; for a gas it is caused by particles colliding with the container walls.
Fixed mass of gasA sample where no gas enters or leaves, so the number of particles stays constant.
CompressionReducing the volume of a gas, which usually raises its pressure if the temperature is kept the same.
Collision frequencyThe number of collisions per second between the particles and a given area of wall.
Directly proportionalTwo quantities that increase together in the same ratio, giving a straight line through the origin when plotted.
KelvinThe absolute temperature scale, where 0 K is the lowest possible temperature.

Avoid these mistakes

1
Saying that compressing a gas makes the particles move faster. At constant temperature their average speed stays the same; only collision frequency changes.
2
Stating that the particles 'expand' or 'get bigger' when heated. The particles stay the same size; they move faster.
3
Writing 'more collisions' without adding 'with the walls per second'. Pressure depends on collisions with the container, not with other particles.
4
Forgetting that heating at constant volume increases both the frequency and the force of collisions, and mentioning only one.
5
Quoting a direct proportion for pressure and Celsius temperature. The proportional link only holds when temperature is in kelvin.

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