| 15.6     The Second Law 
 
 The nature of  heat energy as found in the Carnot Cycle operation is such that  it cannot be 
completely converted into mechanical energy since it is a cyclic operations.  This observation is universally true,  
i.e. independent of the design of the engine and the nature of the working substance.
 
 This observation therefore becomes a law of nature called The Second Law of Thermodynamics.  It 
was formulated by Kelvin and Claussius in different  but similar statements.  According to Kelvin:  "No 
heat engine can be designed which can convert completely all heat energy from a reservoir into 
mechanical energy without producing any changes in the surroundings."  According to Claussius:  "It is impossible 
to cool any  object below the coldest object in the surroundings."
 
             The Second Law of Thermodynamics has been formulated in various 
              forms, which are equivalent to each other.  
 Kelvin's statement      
 
 It is impossible to cool an object below the coldest object in its surroundings, without producing 
any changes in the surroundings.
 Claussius's Statement      
 It is impossible to transfer heat from a lower to a higher temperature  without producing any changes in 
the surroundings.
 
 Planck-Kelvin statement  
             No heat engine can be designed which can convert heat from 
              a single reservoir completely into mechanical energy. 
               
             
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