
3
Refrigerator and heat pump
A heat engine run in reverse is a refrigerator and heat pump.
Work is done to move heat from a cold temperature source to a
hot sink.
This device and be used for cooling or heating.
P
V
T
h
T
c
Q
h
Q
c
1
2
3
4
A
B
C
D
Clausius Statement of the Second Law
of Thermodynamics.
It is impossible to construct a refrigerator
operating in a cycle whose sole effect is to
transfer heat from a cooler object to a hotter
one.
Heat always flows from high temperature
to low temperature.
Equivalence of the Kelvin-Planck and
Clausius statements.
If a perfect refrigerator were possible (Clausius) then a perfect
heat engine could be constructed (Kelvin-Planck). Thus, the
impossibility one implies the impossibility of the other.
Proof of the Carnot Principle
Carnot engine
reversed
higher efficiency
engine
If a heat engine with a higher efficiency than a Carnot engine
could exist. Then it could convert heat to work with 100% efficiency.
The Carnot engine has the highest efficiency for any heat engine
acting between two temperatures.
Real Heat Engines
Power Plant
Q
h
Q
c
heat must be removed
to condense the gas
work done in expansion
Example
In a wood burning power plant the steam in the turbine operates
between the high temperature of 810 K and a low temperature of
366 K. What is the Carnot efficiency for this plant.
c
h
T
e1
T
−
Compare this to the efficiency calculated from the electrical power
output of 59 MW and heat power input of 165 MW (see prob. 60)
h
WP59MW
e
Q H 165MW
0.35=== =
The actual efficiency is less than the Carnot efficiency.
366
1
81
.5
0
05=− =
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