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$\cdot$ An aircraft engine takes in 9000 $\mathrm{J}$ of heat and discards6400 $\mathrm{J}$ each cycle. (a) What is the mechanical work output ofthe engine during one cycle? (b) What is the thermal efficiencyof the engine?

(a) $W=2600 \mathrm{J}$(b) $e=29 \%$

Physics 101 Mechanics

Chapter 16

The Second Law of Thermodynamics

Temperature and Heat

Thermal Properties of Matter

The First Law of Thermodynamics

University of Michigan - Ann Arbor

University of Winnipeg

McMaster University

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in this problem, we're giving that. The heat taken from the high reservoir is 9,000 joules per cycle, and the heat given to the cold reservoir is 64 100 joules per cycle. And since the heat is taken out of the system and given to the cold reservoir, we have to have a natives on here For QC, The party is asking what work we can extract per cycle, and this is just equal to the sum of the heat's going in. But we have to remember to include this minus side. When you add these two numbers together, you get 26 100 jewels, which is the amount of work that could be extracted each cycle of this engine. Now Barbie is asking for the efficiency. The efficiency is defined to be the work over the horrors of war, so you could take this 26 100 plugging for W e and Q h. Plug it in there. Or you can use the alternate form, which is plugging kyu age plus QC and for W and then simplifying that to get one plus QC over Q h. Both these forms here, the w over qh or one plus QC over q h. I can work in this problem because we have all that information are the way you do it. You should get the efficiency is eagle 2.289 or 28 0.9% efficiency and these two numbers here of violence.

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