What causes gas particles to accelerate so that P = F / A

AI Thread Summary
Gas particles accelerate due to collisions with the walls of their container, resulting in a change of momentum that is experienced as force. Pressure, defined as force per unit area, arises from the cumulative effect of numerous particle collisions over time. The confusion often lies in the assumption that gas molecules are constantly accelerating toward the walls; instead, they only experience acceleration upon impact. This change in direction and velocity during collisions contributes to the overall pressure exerted by the gas. Understanding these dynamics clarifies the relationship between pressure, force, and momentum in gas behavior.
vanmaiden
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Dear Physics Forums,

Pressure is force / area, and force is mass * acceleration. When you have a gas in a container, it's said to exert a pressure on its container. Therefore, the particles are accelerating toward the container's walls. What's causing these gas particles to accelerate toward the container? Why can't pressure be momentum / area? Momentum, like force, has a tendency to transfer energy as well to a stationary object (the container's walls).

Thank you for addressing my confusion,

Vanmaiden
 
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You are nearly there.

Force = rate of change of momentum.

When a gas particle collides with a container wall it is deflected, suffering a change of momentum (vector change).

This is experienced as a force and a reaction.

The pressure is the aggregate of many such collisions, taken over area and time.
 
Studiot has it. Where you were getting confused is in demanding that the molecule must be accelerating towards the wall. [For an ideal gas we ignore any such effect.] The acceleration occurs when the molecule hits the wall and changes its direction, and therefore its velocity.
 
Where you were getting confused is in demanding that the molecule must be accelerating towards the wall.

Excellent point.
 
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