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Modern Engineering Thermodynamics

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14.11 Commercial and Household Refrigerators 567<br />

c. Now we can find the enthalpy at the exit of the refrigeration evaporator from the energy balance on the refrigeration<br />

compartment as<br />

h 5 = h 4h +<br />

_ Q R<br />

_m ref<br />

= 91:49 kJ/kg +<br />

ð422 kJ/hÞð1 h/60minÞ<br />

0:0970 kg/min<br />

= 164:0 kJ/kg<br />

Then, we can find the quality at the exit of the refrigeration evaporator as<br />

x 5 = h 5 − h f ð4:00°CÞ<br />

h fg ð4:00°CÞ<br />

=<br />

164:0 − 55:35<br />

194:19<br />

= 0:559 = 55:9%<br />

Exercises<br />

25. A high-efficiency compressor has just been developed. It has an isentropic efficiency of 95%. Determine the new COP<br />

for the refrigerator design presented in Example 14.9. Answer: COP = 4.00.<br />

26. Explain why the COP of the dual-evaporator refrigerator in Example 14.9 does not depend on the quality of the<br />

refrigerator evaporator’s exit. What characteristic of the system depends on this variable? Answer: The intermediate state<br />

h 5 to h 6h cancels out in the COP evaluation. The amounts of cooling in the refrigeration and freezing sections depend on<br />

this variable.<br />

27. If the refrigerator in Example 14.9 runs only 50% of the time, determine its annual operating cost if the price of<br />

electricity is $0.15 per kWh. Answer: Annual operating cost = $45.05.<br />

HOW LONG HAVE WE HAD AIR CONDITIONING?<br />

Before 1930, air conditioning for human comfort was available only for large installations, such as movie theaters, department<br />

stores, and offices. In 1919, the first air-conditioned movie theater opened in Chicago, Illinois, and the first air-conditioned<br />

department store (Abraham and Straus) opened in Brooklyn, New York. The first completely air-conditioned office building<br />

was built in San Antonio, Texas, in 1927. By the late 1930s, smaller units became available for restaurants, shops, and hotels.<br />

Air conditioning using cold or chilled water circulating throughout the air handling system of a building was introduced in<br />

1929. The water was chilled by the evaporator in a large central refrigeration unit (the evaporator was usually called the chiller).<br />

Small home window air conditioners were not introduced until after 1946, and mass-produced automobiles were not air<br />

conditioned until after 1948.<br />

WHERE DID HEAT PUMPS COME FROM?<br />

Lord Kelvin seemed cognizant of the possibility that a “reversed heat engine” could be used for heating and cooling. The<br />

first use of the term heat pump appears in the British literature in about 1895. The first application of heat pump technology<br />

was made by T.G.N. Haldane to heat his London office in 1927. <strong>Modern</strong> heat pumps (Figure 14.25) use refrigerants<br />

R-113 or R-114 to reach hot-side temperatures as high as 150°C.<br />

Cool water<br />

Warm water<br />

Refrigerant<br />

FIGURE 14.25<br />

A heat pump.

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