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Take temperatures and efficiencies to be exact . A heat engine with a thermal ef

ID: 1792992 • Letter: T

Question

Take temperatures and efficiencies to be exact.
A heat engine with a thermal efficiency of 30 % does 800 J of net work each cycle.

Part A

How much heat per cycle is lost to the low-temperature reservoir?

Express your answer using two significant figures.

Take temperatures and efficiencies to be exact.
A heat engine with a thermal efficiency of 30 % does 800 J of net work each cycle.

Part A

How much heat per cycle is lost to the low-temperature reservoir?

Express your answer using two significant figures.

Explanation / Answer

Given,

efficiency n = 0.30

work w = 800 J

we know

efficiency n = work/Q1

heat is extracted from the hot reservoir per cycle

Q1 = 800/0.3 = 2666.67 J

work, Q1-Q2 = 800 J

heat is exhausted to the cold reservoir per cycle

Q2 = 2666.67 - 800 = 1866.67 J

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