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Prove this Thermodynamics Example is possible (No violate the Entropy Principle

ID: 2991721 • Letter: P

Question

Prove this Thermodynamics Example is possible (No violate the Entropy Principle & 2nd Thermo Law), by MATHEMATICALLY, only theoretical answer will no be accepted:

A mechanical engineer from Georgia Institute of Technology claims to have designed a system to air-condition without a work input. The system he proposes will use waste 400 kJ/min of heat from a factory chimney at 300 Celsius and will move 1000 kJ/min from a building at 20 Celsius to the outside at 30 Celsius.

Evaluate the merits of his claim why it's possible. (No violate the Entropy Principle & 2nd Thermo Law)

Explanation / Answer

Initial entropy = 400/(300+273) = 0.698 kJ/min-K

Final entropy = 1000/(273+20) = 3.413 kJ/min-K

Change in entropy = 3.413 - 0.698 = 2.715 kJ/min-K

Since the change in entropy is positive, the air-condition design is thermodynamically possible.

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