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I am not sure I can explain as in depth as you are looking for, but I believe Charle's law describes how gasses expand when they are heated up. Basically the experiment showed that when pressure is constant, the volume of the gas will be directly proportional to the temperature of the gas (in Kelvin).
Charles' Law shows the relationship between the Temperature and Volume of a gas. Temperature and volume have a direct relationship, so if the volume goes up then the temperature goes up and if the temperature goes down then the volume goes down (and vice versa).