Carnot’s theorems for Heat Engines

Carnot's Theorem:
                    It is impossible to construct a heat engine that operates between two thermal reservoirs and is more efficient than a reversible engine operating between the same two reservoirs.

                    All reversible heat engines operating between the same two thermal reservoirs have the same efficiency.

The two theorems can be proved by carrying out a thought experiment and with the help of second law of thermodynamic. Carnot's theorems can also be formed for refrigerators in a manner similar to heat engines.  

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