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For which of the following situations, zeroth law of thermodynamics will not be applicable?


1. 50 cc of water at 25°C is mixed with 150 cc of water at 25°C
2. 500 cc of milk at 15°C is mixed with 100 cc of water at 15°C
3. 5 kg of wet stream at 100°C is mixed with 50 kg of dry and saturated steam at 100°C
4. 10 cc of water at 20°C is mixed with 10 cc of sulphuric acid at 20°C

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Correct Answer - Option 4 : 10 cc of water at 20°C is mixed with 10 cc of sulphuric acid at 20°C

Concept:

Zeroth Law of thermodynamics:

  • The zeroth law of thermodynamics states that if two bodies are each in thermal equilibrium with a third one, then they are in thermal equilibrium with each other.
  • Systems are said to be in thermal equilibrium if there is no heat transfer, even if they are in a position to transfer heat, based on other factors.

Explanation:

Option 1

50 cc of water at 25°C is mixed with 150 cc of water at 25°C 

Water with different quantities (50 cc and 150 cc) are in thermal equilibrium (At 25°C), Hence the zeroth law of thermodynamics will be applicable.

Option 2

500 cc of milk at 15°C is mixed with 100 cc of water at 15°C

Milk and water at 15°C are at thermal equilibrium. Hence the zeroth law of thermodynamics will be applicable.

Option 3

5 kg of wet stream at 100°C is mixed with 50 kg of dry and saturated steam at 100°C

wet steam and dry and saturated steam are at 100°C. They form a pure substance and don't participate in the reaction. Hence they are in thermal equilibrium.

Option 4

In 10 cc of water at 20°C is mixed with 10 cc of sulphuric acid at 20°C there is no thermal equilibrium between the components of the mixture because there will be a spontaneous ionic reaction which highly exothermic in nature.

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