Answered: Suppose that there are two very large…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter18: Heat Engines, Entropy, And The Second Law Of Thermodynamics

Section: Chapter Questions

Problem 46P

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Suppose that there are two very large reservoirs of water, one at a temperature of 89.0 ∘C and one at a temperature of 11.0 ∘C. These reservoirs are brought into thermal contact long enough for 44170 J of heat to flow from the hot water to the cold water. Assume that the reservoirs are large enough so that the temperatures do not change significantly.

a) What is the total change in entropy, Δ?tot, resulting from this heat exchange between the hot water and the cold water?

b) Calculate the amount of energy made unavailable for work by this increase in entropy.

c) How much work could a Carnot engine do if it took in the given amount of heat (44170 J) from the hot water reservoir and exhausted heat to the cold water reservoir?

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