Water particles in gas coming off a pan of boiling water are moving faster or slower than the particles of the water in the pan

We want to see what happens to the particle's speed in a given material as the temperature changes (increases in this case) and it faces a change of phase.

We will see that the particles in the gas (vapor of water) have a larger speed than the ones in the liquid water.

To see this, first, we need to understand how the temperature manifests in a given material.

As we increase the temperature of the material, the kinetic energy of the particles that make the material increase (thus the speed increases). This causes the particles to move more, and this is why as we increase the temperature, is likely to see an increase in the volume.

This is the reason of why we usually see that a solid has less volume than a liquid, and a liquid has less volume than a gas (for the same mass of the same material).

Then as we increase the temperature of liquid water and that water starts to change of phase (by boiling) the kinetic energy of the particles increase, and thus, the speed increases.

Then the particles will be moving faster than the particles of the water in the pan.

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faster.

Explanation:

Particles of water in the gas coming out of a pot of boiling water are moving faster than particles of water in the pot.

This is because the heat energy makes the molecules move faster, so the molecules "trapped" in the liquid are able to gradually break down the barriers of the liquid-air interface and, therefore, the amount of water. it decreases until it "disappears". When you boil water, that smoke you see coming out is nothing more than a bunch of molecules that have broken through the barrier and are free, gaseous. This was due to the rapid movement of these molecules.