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Why a gas pushes on its container

Archive 01365

Slide 1

Gas-particle collisions produce pressure

Gas particles move and collide with their container. Their repeated momentum changes produce the pressure measured at the walls.

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The force is the accumulated effect of enormous numbers of collisions. Individual impacts fluctuate, but a macroscopic gauge averages them over enough particles and time to report a stable pressure.

Slide 2

Less volume raises ideal-gas pressure at fixed temperature

For a fixed amount of ideal gas at constant temperature, reducing volume increases pressure. Particles encounter the walls more frequently.

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Halving the volume doubles the pressure in this model. Temperature must remain constant; a rapid compression can heat the gas, so its immediate pressure may not follow the simple constant-temperature comparison.

Slide 3

Heating at fixed volume raises ideal-gas pressure

At constant volume, heating an ideal gas raises its pressure. Absolute temperature measures the relevant thermal scale for this relationship.

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Doubling temperature from 300 kelvin to 600 kelvin doubles ideal-gas pressure at fixed volume and particle amount. Doubling a Celsius number does not do the same, because Celsius has an offset zero.

Slide 4

More particles raise pressure at fixed volume and temperature

Adding gas to a fixed volume at constant temperature increases pressure. The same walls receive impacts from a larger number of particles.

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Different molecular masses can give the same pressure when particle amount, volume and temperature match in the ideal model. The particles’ typical speeds differ, but the combined momentum-transfer result agrees.

Slide 5

Real particle size and forces limit the approximation

Real gas particles occupy space and attract or repel one another. Those effects become important when the ideal-gas approximation loses accuracy.

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High density and conditions near condensation are common reasons to use a more detailed equation of state. The simple model remains a starting point, with its adequacy checked against the required precision.

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