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$\cdot$ A gasoline engine. A gasoline engine takes in $1.61 \times 10^{4} \mathrm{J}$of heat and delivers 3700 $\mathrm{J}$ of work per cycle. The heat isobtained by burning gasoline with a heat of combustion of $4.60 \times 10^{4} \mathrm{J} / \mathrm{g}$ . (a) What is the thermal efficiency of theengine? (b) How much heat is discarded in each cycle?(c) What mass of fuel is burned in each cycle? (d) If the enginegoes through 60.0 cycles per second, what is its power outputin kilowatts? In horsepower?

a) $e=23 \%$b) $Q_{c}=-12400 \mathrm{J} / \mathrm{cycle}$c) $X=0.350 \mathrm{g}$d) $P=297.59 \mathrm{hp}$

Physics 101 Mechanics

Chapter 16

The Second Law of Thermodynamics

Temperature and Heat

Thermal Properties of Matter

The First Law of Thermodynamics

University of Washington

Simon Fraser University

Hope College

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.

03:22

A Gasoline Engine. A gasol…

06:00

A gasoline engine takes in…

07:30

06:09

A Gasoline Engine. Agasoli…

04:16

03:18

01:45

As a gasoline engine is ru…

A heat engine operates in …

01:34

A Carnot engine is operate…

02:43

A Carnot engine has an eff…

03:01

So we're told a gasoline engine takes in 1.61 times 10 to the fourth jewels of heat and delivers 3700 jewels of work per cycle. The heat is obtained by burning gasoline with the heat of combustion of 4.6 times 10 to the fourth Jules program. What is the thermal efficiency? Okay, so we have our feet in pocket of combustion work out so we can figure out the efficiency is just the TV and divided by the, by the way, it is the workout that worked out. Bye bye. Yeah, and that is 0.0 or 0.23 or 23%. Yeah, heat out is just a he in minus the workout. And that winds up being to, uh, 1,212,400 joules per cycle. So we know that the amount of fuel burn all call it f Is the heat in divided by the heat of combustion? Um, and that is zero point, What? 0.35 grams or 350 milligrams. Their power out is then the workout times. 60 cycles per second. And that gives us 222 kilowatts and then we can convert the horsepower because we know that one horsepower ISS 746 watts, so that gives us 298 horsepower.

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