Carnot’s theorems for Heat Engines

Carnot's Theorem:
 
Theorem-1: 
                    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.

Theorem-2: 
                    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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