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Unreasonable ResultsCalculate the cold reservoir temperature of a steam engine that uses hot steam at $450^{\circ} \mathrm{C}$ and has a Carnot efficiency of 0.700 . (b) What is unreasonable about the temperature? (c) Which premise is unreasonable?

$-56.3^{\circ} \mathrm{C}$

Physics 101 Mechanics

Chapter 15

Thermodynamics

Thermal Properties of Matter

The First Law of Thermodynamics

The Second Law of Thermodynamics

Cornell University

University of Sheffield

University of Winnipeg

Lectures

03:15

In physics, the second law…

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The First Law of Thermodyn…

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Unreasonable Results(a…

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(a) A cyclical heat engine…

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(a) What is the hot reserv…

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A Carnot engine has an eff…

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A steam engine is operated…

03:33

32. Practical steam engine…

06:49

Analyze and Conclude A cer…

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(a) At a steam power plant…

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Find the maximum (Carnot) …

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problem 36 Chapter 15 and were asked to find the cold rose of our temperature as well as finding out what is unreasonable about this temperature and which premises Unreasonable. Um and so the formula for efficiency of a perfect heat engine is the efficiency equals one minus the cold water temperature over the hot water temperature. And so we can go ahead and use this formula to solve for the cold water temperature. By isolating TC on one, science is gonna be t c is equal to our th times one minus the efficiency. And so now we can go ahead and substitute our values, and this is gonna be equal to 723 degrees Kelvin multiplied by one minus 0.7. And this is gonna come out to 216.9 degrees Kelvin. And so now we can go ahead and find this in degree Celsius so we actually know what is going on here. So we can minus 273 degrees, Uh, and this is going to come out to negative 56.3 degrees Celsius. And so that temperature of the cold water is negative. 50 three or 56.3 degrees Celsius. And so, for part A that is done. And then Part B asks what is unreasonable about this temperature on. And so the temperature is actually too cold for the output of a steam engine because it's actually below the freezing point of water, huh? And then, for see the assumed efficiency is actually gonna be too high on. And that's what caused this description discrepancy for this.

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