Pressure from molecular motion (spec 5.15)
Collisions with walls produce pressure.
The picture. A gas in a container consists of vast numbers of molecules moving randomly in all directions at a range of speeds.
How pressure arises.
- A molecule hits a wall and bounces back.
- The molecule's MOMENTUM has changed (typically reversed in direction).
- Newton's 2nd law: force = rate of change of momentum. The wall exerts a force on the molecule during the collision.
- Newton's 3rd law: the molecule exerts an EQUAL AND OPPOSITE force on the wall.
- Many molecules colliding many times per second → a continuous AVERAGE force on the wall.
- Total force ÷ wall area = PRESSURE.
Why pressure is the same in all directions (spec 5.6 / 5.15). The randomness of molecular motion means molecules hit each part of the wall equally on average → pressure at a point inside the gas is the same in all directions.
How pressure changes when you change the conditions.
- More gas in the SAME volume. More molecules → more collisions per second → higher pressure.
- Smaller volume, same gas. Same collision rate per unit area is achieved with fewer molecules per wall section, BUT walls are closer → much higher collision rate. Pressure RISES.
- Higher temperature, same volume. Higher T → faster molecules → harder collisions AND more frequent collisions → pressure RISES.
- Random motion + collisions = pressure.
- Force per area = pressure.
- Pressure rises with: more gas, less volume, or higher T.