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$\bullet$ (a) Calculate the theoretical efficiency for an Otto cycleengine with $\gamma=1.40$ and $r=9.50$ . (b) If this engine takes in$10,000$ J of heat from burning its fuel, how much heat does itdiscard to the outside air?

(a) Theoretical efficiency $(e)=59.4 \%$(b) Heat discards $Q_{C}=-4060 \mathrm{J}$

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 Washington

Hope College

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So we want to calculate the theoretical efficiency of an auto cycle. Engine with gamma equals 1.4 r equals 9.5. Okay. So we can just plug into our equation that relates the efficiency, the compression ratio and gamma. So get one minus one, divided by 9.5 to the fifth power. And that is 15.59 59%. Now, we're told if this engine takes in 10 kill a Jules of heat when burning its fuel. How much he does it discarded at to the outside air. Okay, so if we take 10 Killa jewels in and the efficiency is 59% we get work out of 5.9 Killer Jules, and then the queue jump to the outside air is the work the work? The work out minus the heat in. And that is minus 4.1 Killer Jules leaving the system

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