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An engine works between 2 reservoirs of temperature 500K and 300K. A company claims that this engine of theirs takes 200J of energy from the hot reservoir and rejects 110J of energy. Is this True or False?

(a) True

(b) False

This question was addressed to me in examination.

This question is from Thermodynamics in division Thermodynamics of Physics – Class 11

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Right answer is (b) False

The explanation: The maximum possible efficiency is given by:

1 – Tcold/Thot = 1 – 300/500 = 0.4.

The company claims that their engine has an efficiency of (200-110)/200 = 0.45.

This is not possible as maximum efficiency is 0.4.

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