Which of the following statements holds true, according to Kelvin Planck’s statement? 

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  1. Some amount of heat taken from a source must be rejected to a higher temperature sink.  
  2. Perpetual motion machine of the 2nd kind is impossible. 
  3. It restricts the engine to have mechanical efficiency lesser than unity. 
  4. A heat engine must exchange heat from a single heat reservoir. 

Answer (Detailed Solution Below)

Option 2 : Perpetual motion machine of the 2nd kind is impossible. 
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Detailed Solution

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Explanation:

Perpetual motion machine of the second kind (PMM2): A fictitious machine which produces net work in a complete cycle by exchanging heat with only one reservoir is called the PMM2.

It violates the Kelvin plank statement.

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If Q2 = 0

i.e. Wnet = Q1

or Efficiency = 100%

The heat engine will produce net work in a complete cycle by exchanging heat with only the Signal reservoir thus violating the Kelvin-Plank statement.

Thus, PMM2 violates the second law of thermodynamics and It is a hypothetical machine.

Thus a perpetual motion machine is a hypothetical machine whose operation would violate the law of thermodynamics.

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