Which of the following laws states that "When a system is at zero absolute temperature, the entropy of system is zero"?

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  1. Zeroth law of thermodynamics
  2. First law of thermodynamics
  3. Second law of thermodynamics
  4. Third law of thermodynamics

Answer (Detailed Solution Below)

Option 4 : Third law of thermodynamics
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Concept:

  • Third law of thermodynamics: As the temperature approaches absolute zero, the entropy of a system/crystal approaches a constant minimum.

ΔST at 0 K = 0

Where ΔS = change in entropy 

EXPLANATION:

  • The Third Law of Thermodynamics tells us about the entropy of a perfect crystal at absolute zero temperature. So option 1 is correct.
  • The relation between heat and work is given by the first law of thermodynamics. 
  • There is no perfect relation between the evolution of entropy of a system with the time.
  • The conservation of mass is not explained by any law of thermodynamics.

Additional Information

There are 4 laws to thermodynamics:

Zeroth law of thermodynamics: 

  • If two thermodynamic systems are each in thermal equilibrium with a third, then they are in thermal equilibrium with each other.

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The first law of thermodynamics: 

  • Energy can neither be created nor destroyed. It can only change forms. In any process, the total energy of the universe remains the same.
  • For a thermodynamic cycle, the net heat supplied to the system is equals the net work done by the system.

ΔQ = ΔU + ΔW

where ΔQ = change in heat, ΔU = change in internal energy and ΔW = change in work done

Second Law of Thermodynamics:

  1. Clausius statement: It is impossible for a self-acting machine to transfer heat from a colder body to a hotter one without the aid of an external agency
  2. Kelvin-Planck’s statement: It is impossible to design an engine that extracts heat and fully utilizes it into work without producing any other effect.

Third law of thermodynamics:

  •  As the temperature approaches absolute zero, the entropy of a system/crystal approaches a constant minimum.
  • ΔST = 0 K = 0
  • Where ΔS = change in entropy 
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