An Amusing Remark on Perpetual Motion Machine (New Fable of Scientific Exploration)[6]
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⑥ [The third round:] (Brownian perpetual motion machine in the dead corner of the formulation of Q=△E+A.) Middle Part

【The third round: the tiny particle as cons came to the office of Mr. First Law of Thermodynamics as pros again】

【The pros:】The first law of thermodynamics can be stated as: The heat quantity that the external environment transmits to a material system is equal to the sum of the system’s internal energy increment and the work it has done to outside. The formulation for this statement is: Q=△E+A. In my opinion, your Brownian perpetual motion machine must violate this numerical relation of Q=△E+A.
【The cons:】It’s unavoidable to answer your question. But I think the phenomenon of Brownian perpetual motion machine should not be included in the situations under which this relation stated for the first law of thermodynamics can exist. For the A in the formulation of Q=△E+A can only be calculated under the limitation by the first law of thermodynamics that [work done by system to the outside]----That can only include the situation that【all the energy done by system to outside will not came back】, but can’t include this situation that 【all the energy done by system(water to particles) will return to the system】. After water doing work to particles, the energy will go back to the water and avoid reducing. That is △E=0 and Q=0.
【The pros:】Do you mean that the thermo phenomenon stated by the formulation of Q=△E+A must obey the condition that energy will not go back to the engine after it does work to the outside, except the situation that energy returning to the engine?
【The cons:】Right! So this formulation is not suitable to Brownian perpetual motion machine or we can say that Brownian perpetual motion machine is at the dead corner of the scope of application of the formulation of Q=△E+A.
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