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What is the difference between 'Thermal Expansion' and 'The ideal gas law'? Is there any difference

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I don't know which one is more relevant to my assignment so i was just wondering

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  1. Thermal Expansion is the tendency of matter to change in volume in response to a change in temperature. Basically this means that when something is heated the atoms move around more freely and are spaced further apart from each other. I like to think of water. When it's ice, the atoms are close together forming a solid. But if you add heat to the ice which is basically energy, the molecules start moving and spread further apart forming a liquid. And if you heat the water even more, it turns into a gas which the molecules are even further apart.

    The ideal gas law is just an equation that deals with gases and how it changes with pressure, temperature, and volume.

    PV=nRT ( i call this the pervnert equations- helps me remember it)

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