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How to prove that geothermal power plan does not violate the Second law of thermodynamics?

Question by Rin: How to prove that geothermal power plan does not violate the Second law of thermodynamics?
How to prove geothermal power plant does not violate the second law (especially in mathematic)
I know that it is a close system and it obey the internal energy conservation. But I hardly express it into mathematical to make it a stronger statement. Anyone can help please. Thank You.

Best answer:

Answer by jplrvflyer
Without knowing the actual plan, it’s hard to help you.

Basically, to take geothermal energy and use it, then the original system must lose energy. In other words, the Earth (at least locally) becomes slightly cooler.

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