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Chapter 21, Problem 16P

Suppose you build a two-engine device with the exhaust energy output from one heat engine supplying the input energy for a second heat engine. We say that the two engines arc running in series. Let e1 and e2 represent the efficiencies of the two engines. (a) The overall efficiency of the two-engine device is defined as the total work output divided by the energy put into the first engine by heat. Show that the overall efficiency e is given by

e = e 1 + e 2 e 1 e 2

What If? For parts (b) through (e) that follow, assume the two engines are Carnot engines. Engine 1 operates between temperatures Th and Ti. The gas in engine 2 varies in temperature between Ti and Tc. In terms of the temperatures, (b) what is the efficiency of the combination engine? (c) Does an improvement in net efficiency result from the use of two engines instead of one? (d) What value of the intermediate temperature Ti results in equal work being done by each of the two engines in series? (e) What value of Ti results in each of the two engines in series having the same efficiency?

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Chapter 21 Solutions

Bundle: Physics For Scientists And Engineers With Modern Physics, Loose-leaf Version, 10th + Webassign Printed Access Card For Serway/jewett's Physics For Scientists And Engineers, 10th, Single-term

Ch. 21 - A freezer has a coefficient of performance of...Ch. 21 - Prob. 6PCh. 21 - One of the most efficient heat engines ever built...Ch. 21 - Prob. 8PCh. 21 - If a 35.0% -efficient Carnot heat engine (Fig....Ch. 21 - Prob. 10PCh. 21 - Prob. 11PCh. 21 - A power plant operates at a 32.0% efficiency...Ch. 21 - You are working on a summer job at a company that...Ch. 21 - Prob. 14PCh. 21 - Prob. 15PCh. 21 - Suppose you build a two-engine device with the...Ch. 21 - A heat pump used for heating shown in Figure...Ch. 21 - Prob. 18PCh. 21 - An idealized diesel engine operates in a cycle...Ch. 21 - Prob. 20PCh. 21 - Prob. 21PCh. 21 - A Styrofoam cup holding 125 g of hot water at 100C...Ch. 21 - A 1 500-kg car is moving at 20.0 m/s. The driver...Ch. 21 - A 2.00-L container has a center partition that...Ch. 21 - Calculate the change in entropy of 250 g of water...Ch. 21 - What change in entropy occurs when a 27.9-g ice...Ch. 21 - Prob. 27PCh. 21 - Prob. 28PCh. 21 - Prob. 29PCh. 21 - Prob. 30APCh. 21 - Prob. 31APCh. 21 - In 1993, the U.S. government instituted a...Ch. 21 - In 1816, Robert Stirling, a Scottish clergyman,...Ch. 21 - Prob. 34APCh. 21 - Prob. 35APCh. 21 - Prob. 36APCh. 21 - A 1.00-mol sample of an ideal monatomic gas is...Ch. 21 - Prob. 38APCh. 21 - A heat engine operates between two reservoirs at...Ch. 21 - You are working as an assistant to a physics...Ch. 21 - Prob. 41APCh. 21 - You are working as an expert witness for an...Ch. 21 - Prob. 43APCh. 21 - Prob. 44APCh. 21 - A sample of an ideal gas expands isothermally,...Ch. 21 - Prob. 46APCh. 21 - The compression ratio of an Otto cycle as shown in...
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