Why gases can be compressed
Definition
Compression
A decrease in the volume of a substance caused by a force or pressure acting on it.
Definition
Expansion
An increase in the volume of a substance.
- The molecules in a gas are very far apart, with mostly empty space between them.
- Pushing on a gas forces its molecules closer together, so the same amount of gas fits into a smaller volume.
- This decrease in volume is called compression.
- The molecules themselves are not squashed, because only the spaces between them get smaller.
- If the push on a gas is reduced, its molecules spread out into a larger volume, which is called expansion.
- Liquids and solids are very hard to compress, because their particles are already touching and there is almost no space left to close up.
- Gases can be compressed into a much smaller volume, which is how a diver's tank holds enough air for a long dive.
Pressure changes and volume
- A gas changes its volume until the pressure it exerts balances the pressure acting on it from outside.
- If the pressure outside a gas increases, the gas is compressed until its own pressure rises to match.
- If the pressure outside a gas decreases, the gas expands until its own pressure falls to match.
- Pushing the plunger of a sealed syringe increases the pressure on the trapped air, so the air is compressed into a smaller volume.
- A sealed packet of crisps puffs up on an aeroplane, because the air pressure in the cabin is lower than on the ground and the air inside the packet expands.
- A partly blown-up balloon placed in a sealed bell jar grows larger as a vacuum pump removes air from the jar, because the pressure around the balloon falls.
- When air is let back into the jar, the pressure outside the balloon rises again and the balloon shrinks to its original size.
Force at right angles to a surface
Definition
Pressure difference
The difference between the pressures on the two sides of a surface, which produces a net force on the surface towards the side at lower pressure.
- Gas pressure pushes on every surface the gas touches, including the walls of its container and the face of a piston or plunger.
- The force produced by pressure always acts at right angles to the surface, which is also called normal to the surface.
- This happens because molecules strike the surface from every direction, so on average their sideways pushes along the surface cancel and only the push straight into the surface remains.
- On the flat face of a plunger, the force from the trapped gas therefore acts straight along the barrel of the syringe.
- On the curved inside of a balloon, the force acts outwards at right angles to the rubber at every point, which is why a balloon inflates into a rounded shape.
- Most surfaces have gas pressing on both sides, so each side receives a force at right angles to it.
- If the pressures on the two sides are equal, the two forces cancel and there is no net force on the surface.
- If the pressures are different, there is a pressure difference across the surface, and the force from the higher-pressure side is larger.
- This gives a net force at right angles to the surface, directed towards the side with the lower pressure.
- A syringe plunger stays still while the pressure of the trapped air equals the pressure of the air outside, and it moves as soon as one of these pressures changes.
Example
Squeezing a sealed syringe
- A syringe holds 50 cm350\ \text{cm}^350 cm3 of air with its nozzle sealed, and the plunger is pushed in until the air fills only 30 cm330\ \text{cm}^330 cm3.
- The push on the plunger increases the pressure acting on the trapped air.
- The air is compressed, because its molecules are pushed closer together into the smaller space.
- The trapped air now pushes back on the plunger with a larger force at right angles to its face, which you feel as resistance.
- When the plunger is released, the pressure inside is greater than the pressure outside, so the net force pushes the plunger back out until the two pressures balance again.
Practical
Compressing sand, water and air
- Aim: to compare how easily a gas, a liquid and a solid in grains can be compressed, using three identical sealed syringes.
- Apparatus: three identical 60 cm360\ \text{cm}^360 cm3 plastic syringes without needles, three syringe caps, dry sand, water, a clamp stand with a boss and clamp, a 1 kg1\ \text{kg}1 kg slotted mass with a hanger and eye protection.
- Method:
- Pull the plunger of the first syringe back to the 50 cm350\ \text{cm}^350 cm3 mark so that it fills with air, then push a cap firmly onto the nozzle.
- Fill the second syringe with water to the 50 cm350\ \text{cm}^350 cm3 mark, tap out any air bubbles, and cap it.
- Fill the third syringe with dry sand to the 50 cm350\ \text{cm}^350 cm3 mark, tap it gently so that the sand settles, and cap it.
- Clamp the first syringe upright with its nozzle at the bottom, and read the starting volume at eye level.
- Rest the 1 kg1\ \text{kg}1 kg mass on top of the plunger and read the new volume once the plunger stops moving.
- Lift the mass off and record whether the plunger returns to its starting position.
- Repeat with the water and sand syringes, then repeat each test three times and work out a mean change in volume for each material.
- Control variables: use identical syringes, the same starting volume and the same mass each time, so that the only thing that changes is the material inside.
- Results: the air is compressed by a large amount and the plunger springs back when the mass is removed, the water hardly moves at all, and the sand is compressed slightly but does not spring back.
- Explanation: the air molecules are far apart, so there is plenty of space for them to be pushed closer together.
- Explanation: the water particles are already touching, so there is almost no space to close up and the volume barely changes.
- Explanation: the sand grains themselves are not compressed, because the small change happens as the grains shift into a tighter arrangement and squeeze the air in the gaps between them.
- Watch out: an air bubble left in the water syringe makes the water seem compressible, and a loose cap lets air escape so the air seems more compressible than it is.
- Safety: wear eye protection, because a cap can fly off a strongly compressed syringe, and wipe up spilt water and sand straight away so that no one slips.
Common Mistake
- Do not say the gas molecules get smaller when a gas is compressed, because it is the spaces between them that shrink.
- Do not say a low pressure "sucks" a surface, because the net force comes from the higher pressure on the other side pushing it.
- Do not draw the force from a gas along a surface or at an angle to it, because pressure always produces a force at right angles to the surface.
- Do not describe sand as easily compressed, because only the gaps between the grains close up.
Exam technique
Describing compression and expansion
- Link a change in volume to a change in pressure in the same sentence, such as "the pressure outside increases, so the gas is compressed".
- When asked why a gas is easier to compress than a liquid, refer to the spacing of the particles, not to their size or mass.
- When you draw or describe a pressure force, show it at right angles to the surface.
- For a net force question, compare the pressures on the two sides of the surface and say which side is higher.
Self review
- Explain why a gas can be compressed but a liquid can hardly be compressed at all.
- State what happens to a sealed volume of gas when the pressure around it decreases.
- State the direction of the force that gas pressure produces on a surface.
- Explain why a syringe plunger moves when the pressure inside differs from the pressure outside.
- Explain why sand in a sealed syringe can be compressed slightly.