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A gasoline engine has a power output of 180 $\mathrm{kW}$ (about241 $\mathrm{hp}$ ). Its thermal efficiency is 28.0$\% .$ (a) How much heatmust be supplied to the engine per second? (b) How much heatis discarded by the engine per second?

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a) 643 $\mathrm{KJ}$b) 463 $\mathrm{KJ}$

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

University of Winnipeg

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.

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A gasoline engine has a po…

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A Carnot engine has a powe…

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The power output of a car …

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A gasoline engine produces…

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Engine Has Power A Carnot …

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A furnace supplies $28.0 \…

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in his problem. We first after call that power is equal to the work done divided by the time. So it's work part time. If time is equal to one second, then power and work a lot of the same magnitude, just different units. We also have to remember that work is related to the energy and put it in outputs. So the formula is the absolute value of Q H minus Absolute Valley of QC, and also what will be helpful is the definition of efficiency, Which is the work done over Q H. So in part, A. We want to figure out what Q ages. And to do this, I'm going to use this formula. I'm going to Seoul for Q H. This tells us that Q H is equal to W over the efficiency, and we just figured out what w. Since the power is equal to W for one second, and so this implies that W is equal to 180 times 10. Cute Jules, since the power given the problem is 180 times 10 and cubed wants. And so we take this value, don't you plug it in here And we're also giving the efficiency of the problem. This yields kyu. Age is equal to 1 80 times 10. Cute. That's the word over 0.280 which is the efficiency converted into a decibel. It's on our jewels and so listens of being six point for three times 10 to the fifth, Jules, and ask uhh for part B. We want to figure out what QC is. And so to do this, I'm going to solve this equation here for QC. And when I do that, I get QC is equal to Qhd Zahren House of Values minus the work done. And I'm just gonna plug in these two values which we found in our day or given to us in the problem. So 6.43 times 10 to the fifth, minus 1 80 times 10. Cute. This was given in the problem and this was the answer to party. And so doing this in the calculator gives us the value of 4.63 times 10 to the first Jules as the amount of heat being dumped in the cold reservoir, each cycle or every second city

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