Exam 18: The Laws of Thermodynamics

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Order in one part of the universe can only be produced at the expense of disorder in another part.

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A heat engine operating at maximum efficiency has an efficiency of 35.0%. The temperature of the hot reservoir is 700 K. What is the temperature of the cold reservoir?

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A refrigerator has a COP of 2.5. If it removes 7.7 MJ of heat in 25. minutes, (a) what is the minimum power motor to operate the refrigerator? (b) what is its efficiency if it were a reversible engine?

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(a)2.1 kW
(b)29.% efficiency

What is meant by "the heat death of the universe"?

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The ocean thermal energy conversion project uses the surface water near tropical islands with a temperature of 20.0°C as the hot temperature reservoir, and the water at some depth, with a temperature of 5.0°C, as the cold temperature reservoir for a heat engine. What is the maximum efficiency of an engine running between those two temperatures?

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An air conditioner with a coefficient of performance of 3.5 uses 30 kW of power. How much power is it discharging to the outdoors?

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A gas expands from an initial volume of 30.0 L to a final volume of 65.0 L at a constant pressure of 110 kPa. How much work is done by the gas?

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In a given reversible process, the temperature of an ideal gas is kept constant as the gas is compressed to a smaller volume. Select the true statement from among the following:

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FIGURE 18-3 FIGURE 18-3   -An ideal gas undergoes the process a→b→c→a shown in Figure 18-3. P<sub>a</sub> = P<sub>c</sub> = 360.0 kPa, V<sub>b</sub> = V<sub>c</sub> = 68.00 L, V<sub>a</sub> = 35.00 L, and P<sub>b</sub> = 560.0 kPa. How much work is done by the system in this process? -An ideal gas undergoes the process a→b→c→a shown in Figure 18-3. Pa = Pc = 360.0 kPa, Vb = Vc = 68.00 L, Va = 35.00 L, and Pb = 560.0 kPa. How much work is done by the system in this process?

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If a thermometer measures the temperature of two objects as being equal, you can conclude that the objects will be in thermal equilibrium if they are brought into thermal contact.

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On a cold winter day, the outside temperature is -20°C and the inside temperature is maintained at 20°C. There is a net heat flow to the outside through the walls, roof, etc., of 25 kW. What is the rate of increase of the entropy of the universe as a result of this?

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A Carnot engine has an efficiency of 83.0% and performs 4500 J of work every cycle. How much energy is discharged to the lower temperature reservoir every 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 have the largest loss of internal energy?

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FIGURE 18-2 FIGURE 18-2   -Referring to Figure 18-2, a substance carried from point A to B absorbs 50. J and finds its internal energy has increased by 20. J. Going from B to C the internal energy decreases by 5. Joules. (a) How much work was done from A to B? (b) How much heat was absorbed from B to C? (c) How much work was done going from B to C? -Referring to Figure 18-2, a substance carried from point A to B absorbs 50. J and finds its internal energy has increased by 20. J. Going from B to C the internal energy decreases by 5. Joules. (a) How much work was done from A to B? (b) How much heat was absorbed from B to C? (c) How much work was done going from B to C?

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What is the change of entropy of water (Lf = 0.333 MJ/kg, Lv = 2.26 MJ/kg) when 450. grams of water: (a) changes from liquid to steam? (b) changes from ice to liquid?

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One of the most efficient engines built so far has the following characteristics: combustion chamber temperature = 1900°C; exhaust temperature = 430°C. 7.0 × 109 cal of fuel produces 1.4 × 1010 J of work in one hour. What is the power output, in hp, of this engine?

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In the first law of thermodynamics, W is the work done on the system, that is, W is positive if work is done on the system.

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A certain engine extracts 1300 J of heat from a hot temperature reservoir and discharges 700 J of heat to a cold temperature reservoir. What is the efficiency of this engine?

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How much heat is required to raise the temperature of 2 moles of an ideal monatomic gas by 10 C° at constant volume?

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On a cold winter day, the outside temperature is -20°C and the inside temperature is maintained at 20°C. There is a net heat flow to the outside through the walls, roof, etc., of 25 kW. At what rate is the air outside the house gaining entropy as a result of this process?

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