Exam 18: The Laws of Thermodynamics

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The entropy of a system remains constant during an adiabatic change even if the change is irreversible.

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Which of the following is a statement of the third law of thermodynamics?

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An athlete doing push-ups performs 650 kJ of work and loses 425 kJ of heat. What is the change in the internal energy of the athlete?

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A certain ideal gas has a value of γ = 4/3. What is its molar specific heat at constant pressure?

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A monatomic ideal gas is compressed adiabatically to one-third of its initial volume. The resulting pressure will be

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FIGURE 18-1 FIGURE 18-1   -An ideal monatomic gas undergoes the reversible expansion shown in Figure 18-1, where V<sub>2</sub> = 5V<sub>1</sub> and P<sub>2</sub> = 3P<sub>1</sub>. What is the change in internal energy of the gas in this process, in terms of the initial pressure and volume? -An ideal monatomic gas undergoes the reversible expansion shown in Figure 18-1, where V2 = 5V1 and P2 = 3P1. What is the change in internal energy of the gas in this process, in terms of the initial pressure and volume?

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If a system undergoes a reversible process,

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Two identical samples of a monatomic gas are initially at pressure P and occupy volume V. You perform two experiments which will both lead to the gas samples being compressed to final volumes one-third as large as their initial volumes. In one of the experiments you make the gas undergo an isothermal compression. In the second you make the gas undergo an adiabatic compression. It is correct to say that:

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An inventor tries to sell you his new engine which takes in 40. Joules of heat at 87°C on each cycle, expels 30. Joules at 27°C, and does 10. Joules of work. Why are you not fooled, and can have him prosecuted as a fraud?

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A reversible engine takes in 555. Joules per second and exhausts 482. watts. (a) How much power does it produce? (b) What is its efficiency? (c) If operated in reverse as a refrigerator, what would be its COP?

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In the first law of thermodynamics, Q is the heat gained by the system, that is, Q is positive if the system gains heat.

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Internal energy is a state function.

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3.0 moles of gas expand from an initial volume of 0.040 m3 to a final volume of 0.085 m3 while the temperature of the gas is kept fixed at 300 K. How much work is done by the system?

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For an ideal monatomic gas,

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A 40.0-L container is divided into two equal parts by a rubber membrane. One half of the container has 1.80 moles of an ideal monatomic gas at 270 K, and the other half is a vacuum. The container does not allow any gas to escape but is free to exchange heat with the surroundings. The membrane breaks, the gas expands isothermally and eventually the gas reaches a new equilibrium condition occupying the entire volume. What is the change in entropy of the gas?

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A heat engine absorbs 64 kcal of heat each cycle and exhausts 42 kcal. (a) Calculate the efficiency each cycle. (b) Calculate the work done each cycle.

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An ideal monatomic gas undergoes a reversible expansion to 1.5 times its original volume. In which of these processes does the gas perform the least amount of work?

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