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Second law efficiency
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  • Thermal efficiency and the coefficient of performance for devices is a measure of their performance.

  • They are defined on the basis of the first law only, and they are sometimes referred to as the first-law efficiencies.

  • The first law efficiency, however, makes no reference to the best possible performance, and thus it may be misleading.

  • Second-law efficiency is defined as the ratio of the actual thermal efficiency to the maximum possible (reversible) thermal efficiency under the same conditions.

    $$η_Π = \frac{η_{th}}{η_{threv}} ........ (For Heat Engine)$$

  • The second-law efficiency can also be expressed as the ratio of the useful work output and the maximum possible (reversible) work output. $$η_Π = \frac{W_U}{W_{rev}} ......(For Work Producing device)$$
  • For cyclic devices such as refrigerators and heat pumps, it can also be expressed in terms of the coefficients of performance as: $$η_Π = \frac{COP}{COP_{rev}}....(For refrigerator and heat pumps)$$
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