Maxwell's Demon Thought experiment

AI Thread Summary
Maxwell's Demon is a thought experiment illustrating the second law of thermodynamics, where a hypothetical demon sorts particles by energy, creating a temperature difference between two rooms. This process seems to violate the law by allowing heat to flow from a colder to a hotter body without work. However, it is deemed impossible because the demon's actions require energy and information processing, which ultimately increases entropy. Various proofs, including those found on Wikipedia, explain why the demon cannot exist in reality. Understanding these principles clarifies the limitations of thermodynamic laws.
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I recently just heard of this thought experiment where two rooms/resoviors whatever you want to call them are adjoined by a door that a little demon controls. Both rooms have the same temperature, The demon then opens this door when particles with higher kinetic energy are nearby to let them into one side, while letting particles with lower kinetic energy into the other side. Eventually one room is hotter and the other is colder. I read that this is impossible. Why is this impossible?
 
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