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92 The contents of the freezer in a home refrigerator are maintained at 25315 K (-20 C) The kitchen temperature is 29315 K (20 C) If heat leaks amount to 125 000 W per day, and if electricity costs $008/kWh, estimate the yearly cost of running the refrigerator Assume a coefficient of performance equal to 60% of the Carnot value

93 Consider the startup of arefrigerator Initially, the contents are at the same temperature as the surroundings: Tc, = T H ,where TH is the (constant) surroundings temperature With the passage of time, owing to work input, the contents temperature is reduced from TG to its design value Tc Modeling the process as a Carnot refrigerator operating between an infinite hot reservoir and afinite cold reservoir of total heat capacity C t, determine an

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94 A Carnot refrigerator has tetrafluoroethane as the working fluid The cycle is the same as that shown by Fig 82, except the directions are reversed For Tc = 26115 K (-12 C) and TH = 31115 K (38OC), determine: (a) The pressures at states 1, 2, 3, and 4 (b) The quality x u at states 3 and 4 (c) The heat addition per kg of fluid (d) The heat rejection per kg of fluid (e) The mechanical power per kg of fluid for each of the four steps ( f ) The coefficient of performance w for the cycle 95 Which is the more effective way to increase the coefficient of performance of a Carnot refrigerator: to increase Tc with TH constant, or to decrease TH with TC constant For a real refrigerator, does either of these strategies make sense

As discussed in s 1 and 2, your digital camera probably comes with a zoom lens that allows you to vary the focal length from a wide-angle or normal perspective all the way through some moderate telephoto length As you probably recall, focal length is just a measure of the magnification that the lens provides A larger focal length produces greater magnification; hence long focal length lenses are great for capturing fast action or enlarging objects that are moderately far away You can see the effect of a zoom lens on magnification in Figure 3-13 A key fact to remember, however, is that the focal length of the given lens also affects the camera s angle of view Because a telephoto lens magnifies distant objects, it has a very narrow angle of view As you reduce the magnification and zoom out toward smaller focal lengths, the angle of view likewise increases You can see this graphically in Figure 3-14 At the extreme end of the scale specifically, wide-angle lenses the image is actually shrunk with respect to what the human eye can see The angle of view becomes extreme,

96 In comparing the performance of a real cycle with that of a Carnot cycle, one has in principle a choice of temperatures to use for the Carnot calculation Consider a vapor-compression refrigeration cycle in which the average fluid temperatures in the condenser and evaporator are TH and Tc, respectively Corresponding to TH and Tc, the heat transfer occurs with respect to surroundings at temperature T,,, and To, Which provides the more conservative estimate of carno not): a calculation based on TH and Tc, or one based on To, and To, 97 A Carnot engine is coupled to a Carnot refrigerator so that all of the work produced by the engine is used by the refrigerator in extraction of heat from a heat reservoir at 27315 K (0 C) at the rate of 35 kW The source of energy for the Carnot engine is a heat reservoir at 52315 K (250 C) If both devices discard heat to the surroundings at 29815 K (25"C), how much heat does the engine absorb from its heat-source reservoir

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