University Physics with Modern Physics (14th Edition)
University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 20, Problem 20.57P

DATA You are conducting experiments to study prototype heat engines. In one test, 4.00 mol of argon gas are taken around the cycle shown in Fig. P20.57. The pressure is low enough for the gas to be treated as ideal. You measure the gas temperature in states a, b, c, and d and find Ta = 250.0 K, Tb = 300.0 K, Tc = 380.0 K, and Td = 316.7 K. (a) Calculate the efficiency e of the cycle. (b) Disappointed by the cycle’s low efficiency, you consider doubling the number of moles of gas while keeping the pressure and volume the same. What would e be then? (c) You remember that the efficiency of a Carnot cycle increases if the temperature of the hot reservoir is increased. So, you return to using 4.00 mol of gas but double the volume in states c and d while keeping the pressures the same. The resulting temperatures in these states are Tc = 760.0 K and Td = 633.4 K. Ta and Tb remain the same as in part (a). Calculate e for this cycle with the new Tc and Td values. (d) Encouraged by the increase in efficiency, you raise Tc and Td still further. But e doesn’t increase very much; it seems to be approaching a limiting value. If Ta = 250.0 K and Tb = 300.0 K and you keep volumes Va and Vb the same as in part (a), then Tc/Td = Tb/Ta and Tc = 1.20Td. Derive an expression for e as a function of Td for this cycle. What value does e approach as Td becomes very large?

Figure P20.57

Chapter 20, Problem 20.57P, DATA You are conducting experiments to study prototype heat engines. In one test, 4.00 mol of argon

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Chapter 20 Solutions

University Physics with Modern Physics (14th Edition)

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