636 | ThermodynamicsEXAMPLE 11–6 Cooling of a Canned Drink
by a Thermoelectric RefrigeratorA thermoelectric refrigerator that resembles a small ice chest is powered by
a car battery and has a COP of 0.1. If the refrigerator cools a 0.350-L
canned drink from 20 to 4°C in 30 min, determine the average electric
power consumed by the thermoelectric refrigerator.Solution A thermoelectric refrigerator with a specified COP is used to cool
canned drinks. The power consumption of the refrigerator is to be determined.
Assumptions Heat transfer through the walls of the refrigerator is negligible
during operation.
Properties The properties of canned drinks are the same as those of water
at room temperature, r1 kg/L and c4.18 kJ/kg · °C (Table A–3).
Analysis The cooling rate of the refrigerator is simply the rate of decrease of
the energy of the canned drinks,Then the average power consumed by the refrigerator becomesDiscussion In reality, the power consumption will be larger because of the
heat gain through the walls of the refrigerator.W#
inQ#
cooling
COPR13 W
0.10130 WQ#
coolingQcooling
¢t23.4 kJ
30 60 s0.0130 kW13 WQcoolingmc ¢T 1 0.350 kg 21 4.18 kJ>kg#°C 2120 42 °C23.4 kJ
mrV 1 1 kg>L 21 0.350 L 2 0.350 kgThe transfer of heat from lower temperature regions to higher
temperature ones is called refrigeration. Devices that produce
refrigeration are called refrigerators,and the cycles on which
they operate are called refrigeration cycles. The working flu-
ids used in refrigerators are called refrigerants. Refrigerators
used for the purpose of heating a space by transferring heat
from a cooler medium are called heat pumps.
The performance of refrigerators and heat pumps is
expressed in terms of coefficient of performance(COP),
defined asCOPHPDesired output
Required inputHeating effect
Work inputQH
Wnet,inCOPRDesired output
Required outputCooling effect
Work inputQL
Wnet,inSUMMARYThe standard of comparison for refrigeration cycles is the
reversed Carnot cycle. A refrigerator or heat pump that oper-
ates on the reversed Carnot cycle is called a Carnot refrigera-
toror a Carnot heat pump, and their COPs areThe most widely used refrigeration cycle is the vapor-
compression refrigeration cycle. In an ideal vapor-compression
refrigeration cycle, the refrigerant enters the compressor as a
saturated vapor and is cooled to the saturated liquid state in
the condenser. It is then throttled to the evaporator pressure
and vaporizes as it absorbs heat from the refrigerated space.COPHP,Carnot1
1 TL >THCOPR,Carnot1
TH>TL 1Heat
rejected
Heat
absorbedFIGURE 11–27
When a current is passed through the
junction of two dissimilar materials,
the junction is cooled.WARM
environmentRefrigerated
spaceHot plateCold plateQHQL
- I
pn pn pnFIGURE 11–28
A thermoelectric refrigerator.