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The entire cycle is repeated many times each minute The thermal energy from the burning of gasoline is converted into mechanical energy, which eventually results in the movement of the car Not all of the thermal energy from the high-temperature flame in an automobile engine is converted into mechanical energy When the automobile engine is functioning, the exhaust gases and the engine parts become hot As the exhaust comes in contact with outside air and transfers heat to it, the temperature of the outside air is raised In addition, heat from the engine is transferred to a radiator Outside air passes through the radiator and the air temperature is raised All of this energy, QL, transferred out of the automobile engine is called waste heat, that is, heat that has not been converted into work When the engine is working continuously, the internal energy of the engine does not change, or U 0 Q W The net heat going into the engine is Q QH QL Thus, the work done by the engine is W QH QL In an automobile engine, the thermal energy in the flame produces the mechanical energy and the waste heat that is expelled All heat engines generate waste heat, and therefore no engine can ever convert all of the energy into useful motion or work Efficiency Engineers and car salespeople often talk about the fuel efficiency of automobile engines They are referring to the amount of the input heat, QH, that is turned into useful work, W The actual efficiency of an engine is given by the ratio W/QH The efficiency could equal 100 percent only if all of the input heat were turned into work by the engine Because there is always waste heat, even the most efficient engines fall short of 100-percent efficiency In solar collectors, heat is collected at high temperatures and used to drive engines The Sun s energy is transmitted as electromagnetic waves and increases the internal energy of the solar collectors This energy is then transmitted as heat to the engine, where it is turned into useful work and waste heat Refrigerators Heat flows spontaneously from a warm object to a cold object However, it is possible to remove thermal energy from a colder object and add it to a warmer object if work is done A refrigerator is a common example of a device that accomplishes this transfer with the use of mechanical work Electric energy runs a motor that does work on a gas and compresses it.

The gas draws heat from the interior of the refrigerator, passes from the compressor through the condenser coils on the outside of the refrigerator, and cools into a liquid Thermal energy is transferred into the air in the room The liquid reenters the interior, vaporizes, and absorbs thermal energy from its surroundings The gas returns to the compressor and the process is repeated The overall change in the thermal energy of the gas is zero Thus, according to the first law of thermodynamics, the sum of the heat removed from the refrigerator s contents and the work done by the motor is equal to the heat expelled, as shown in Figure 12-13 Heat pumps A heat pump is a refrigerator that can be run in two directions In the summer, the pump removes heat from a house and thus cools the house In the winter, heat is removed from the cold outside air and transferred into the warmer house In both cases, mechanical energy is required to transfer heat from a cold object to a warmer one

Cold reservoir at TL Figure 12-13 A refrigerator absorbs heat, QL, from the cold reservoir and gives off heat, QH, to the hot reservoir Work, W, is done on the refrigerator

22 A gas balloon absorbs 75 J of heat The balloon expands but stays at the same temperature How much work did the balloon do in expanding 23 A drill bores a small hole in a 040-kg block of aluminum and heats the aluminum by 50 C How much work did the drill do in boring the hole 24 How many times would you have to drop a 050-kg bag of lead shot from a height of 15 m to heat the shot by 10 C 25 When you stir a cup of tea, you do about 0050 J of work each time you circle the spoon in the cup How many times would you have to stir the spoon to heat a 015-kg cup of tea by 20 C 26 How can the first law of thermodynamics be used to explain how to reduce the temperature of an object

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Many processes that are consistent with the first law of thermodynamics have never been observed to occur spontaneously Three such processes are presented in Figure 12-14 For example, the first law of thermodynamics does not prohibit heat flowing from a cold object to a hot object However, when hot objects have been placed in contact with cold objects, the hot objects have never been observed to become hotter Similarly, the cold objects have never been observed to become colder Entropy If heat engines completely converted thermal energy into mechanical energy with no waste heat, then the first law of thermodynamics would be obeyed However, waste heat is always generated, and randomly distributed particles of a gas are not observed to spontaneously arrange themselves in specific ordered patterns In the nineteenth century, French engineer Sadi Carnot studied the ability of engines to convert thermal energy into mechanical energy He developed a logical proof that even an ideal engine would generate some waste heat Carnot s result is best described in terms of a quantity called entropy, which is a measure of the disorder in a system

Figure 12-14 Many processes that do not violate the first law of thermodynamics do not occur spontaneously The spontaneous processes obey both the first and second law of thermodynamics

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