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I guess you are mistaken about what a heat pump is.

Heat pump is a closed system in which you store energy when it is hot and recover it when it is cold.

https://en.wikipedia.org/wiki/Heat_pump

Heat pump is not just the pump mechanism, but the entire system which includes mass of rock that is heat reservoir.

What typically happens is you drill deep in the ground or rock and circulate air, water or some other refrigerant underground. During summer you pump hot refrigerant to heat up the mass of rock. This can be for example water that has been made hot by the sun. During winter you push water through that warm rock to recover the heat to warm your home.

No, it is not thermodynamically possible to recover more than 100% of stored energy.



We’re talking of home heating where the ground source heat pumps are rare. Here’s an article explaining how they work. Efficiency is 200-300%

https://www.finehomebuilding.com/2020/04/08/how-efficient-ar...




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