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An Otto engine uses a gas having $\gamma=1.40$ and has a com-pression ratio of 8.50 . (a) Out of every gallon of fuel thisengine burns, what fraction is wasted (i.e., produces energythat is wasted)? (b) If you could change the compression ratioto 10.0 instead, what percentage of the fuel would be wasted?

a) 0.4248b) 39.81$\%$

Physics 101 Mechanics

Chapter 16

The Second Law of Thermodynamics

Temperature and Heat

Thermal Properties of Matter

The First Law of Thermodynamics

Cornell University

University of Washington

Simon Fraser University

McMaster University

Lectures

03:15

In physics, the second law of thermodynamics states that the total entropy of an isolated system can only increase over time. The total entropy of a system can never decrease, and the entropy of a system approaches a constant value as the temperature approaches zero.

03:25

The First Law of Thermodynamics is an expression of the principle of conservation of energy. The law states that the change in the internal energy of a closed system is equal to the amount of heat energy added to the system, minus the work done by the system on its surroundings. The total energy of a system can be subdivided and classified in various ways.

02:26

A gasoline engine has a co…

01:58

03:22

A gas with $\gamma=1.40$ o…

02:32

During the compression str…

10:28

04:04

A collapsed balloon is fil…

10:44

06:30

for the auto cycle. The tax book tells us that this is the efficiency. It's one minus one over the compression ratio are to stand on minus one coefficient. And so for party, they were told, the compression ratio is 8.5, and so the efficiency is one minus a month. Over 8.5 to the 0.67 point 67 is the gamma minus one, and they give us gamma. This is equal 2.762 or 76.2% which means that the amount wasted it is 100% minus just 23.8%. So 23.8% is the amount of waste. It's the amount of mist efficiency minus 11 will be perfect. And this is the difference from one. So this is the answer they were looking for. So the waste percent of the waste for part B we're doing the same thing, except the compression ratio is now hired, Sten. So the efficiency is one over 10 to the 100.67 and when you do this out you get 0.786 or 78.6% which implies that 100 money is This is the waist, which ends up being 21.4% waste. So what this tells us is we have less waste whenever our compression ratio is higher and that's the little girl.

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