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

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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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