Chapter 6 | 311
Solution A heat pump maintains a house at a constant temperature. The
required minimum power input to the heat pump is to be determined.
Assumptions Steady operating conditions exist.
Analysis The heat pump must supply heat to the house at a rate of QH
135,000 kJ/h 37.5 kW. The power requirements are minimum when a
reversible heat pump is used to do the job. The COP of a reversible heat
pump operating between the house and the outside air is
Then the required power input to this reversible heat pump becomes
Discussion This reversible heat pump can meet the heating requirements of
this house by consuming electric power at a rate of 3.32 kW only. If this
house were to be heated by electric resistance heaters instead, the power
consumption would jump up 11.3 times to 37.5 kW. This is because in
resistance heaters the electric energy is converted to heat at a one-to-one
ratio. With a heat pump, however, energy is absorbed from the outside and
carried to the inside using a refrigeration cycle that consumes only 3.32 kW.
Notice that the heat pump does not create energy. It merely transports it
from one medium (the cold outdoors) to another (the warm indoors).
W
#
net,in
QH
COPHP
37.5 kW
11.3
3.32 kW
COPHP,rev
1
1 TL>TH
1
1 1 5 273 K2> 1 21 273 K 2
11.3
Refrigerators to preserve perishable foods have long been one of the essen-
tial appliances in a household. They have proven to be highly durable and
reliable, providing satisfactory service for over 15 years. A typical household
refrigerator is actually a combination refrigerator-freezer since it has a
freezer compartment to make ice and to store frozen food.
Today’s refrigerators use much less energy as a result of using smallerand
higher-efficiencymotors and compressors,better insulation materials, larger
coil surface areas, and better door seals(Fig. 6–54). At an average electric-
ity rate of 8.3 cents per kWh, an average refrigerator costs about $72 a year
to run, which is half the annual operating cost of a refrigerator 25 years ago.
Replacing a 25-year-old, 18-ft^3 refrigerator with a new energy-efficient
model will save over 1000 kWh of electricity per year. For the environment,
this means a reduction of over 1 ton of CO 2 , which causes global climate
change, and over 10 kg of SO 2 , which causes acid rain.
Despite the improvements made in several areas during the past 100 years
in household refrigerators, the basic vapor-compression refrigeration cycle
has remained unchanged. The alternative absorption refrigeration and
thermoelectric refrigerationsystems are currently more expensive and less
TOPIC OF SPECIAL INTEREST* Household Refrigerators
*This section can be skipped without a loss in continuity.
Refrigerator
More efficient motors
and compressors
Better door
seals
Better insulation
materials
FIGURE 6–54
Today’s refrigerators are much more
efficient because of the improvements
in technology and manufacturing.
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