Question #82414

An inventor claims to have constructed an engine that has an efficiency of when operated 75% when operated between the boiling and freezing points of water. Is this possible ? Illustratively explain.

Expert's answer

Answer on Question #82414, Physics / Molecular Physics | Thermodynamics

Question:

An inventor claims to have constructed an engine that has an efficiency of when operated 75% when operated between the boiling and freezing points of water. Is this possible? Illustratively explain.

Solution:

The max possible efficiency of a heat engine has one working on Carnot cycle and it equals to

η=1TlTh\eta = 1 - \frac{T_{l}}{T_{h}}

what in this case means

η=1273273+100=0.27\eta = 1 - \frac{273}{273 + 100} = 0.27

or 27%.

Evidently the statement isn't not possible and the inventor isn't correct.

The answer:

It's not possible - please see above.

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