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It is possible for a Carnot engine to achieve thermo-efficiency of 1

Question

It is possible for a Carnot engine to achieve thermo-efficiency of 1

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Solution

No, it is not possible for a Carnot engine to achieve a thermo-efficiency of 1. The efficiency of a Carnot engine is determined by the difference in temperature between the hot and cold reservoirs (Th and Tc respectively), and is given by the formula:

Efficiency = 1 - (Tc/Th)

In order for the efficiency to be 1, the term (Tc/Th) would have to be 0. This would only be possible if Tc is absolute zero (0 Kelvin), which is unattainable according to the third law of thermodynamics. Therefore, a Carnot engine cannot achieve a thermo-efficiency of 1.

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