It is pointed out that in many textbooks, the derivation of the theorem that the ratio of heat to temperature amounts to zero in any reversiblecycle is insufficiently exact and too excessively brief.
The experimental results showed that Mn doping in small quantity was effective to improve the cycle stability and reversible capacity of the material.
实验结果表明，少量锰的掺杂能有效地提高材料的循环稳定性和可逆容量。
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This means that the carnot cycle is an idealization since no real engine processes are reversible and all real physical processes involve some increase in entropy.