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Second Law of Thermodynamics.
9.1
Second Law of Thermodynamics
Carnot cycle efficiency
-Heat engines
- Refrigerators
Second Law of Thermodynamics
Heat engines (Kelvin-Planck Law)
Refrigerators (Claussius Statement)
Entropy Principle
Three Statements of the second law
Heat Engines
A heat engine takes in heat
at a high temperature and
exhausts heat at a low
temperature.
In the process of heat flow
some of the input heat is
converted to work
First Law (for a cycle)
Q = Q
h
+ Q
c
= W
T
c
Second Law ( puts limits on Q
h
and Q
C
)
Kelvin-Planck Statement of
the second law of thermodynamics
Perfect heat engine
It is impossible to construct a heat engine operating in a cycle that
extracts heat from a reservoir and delivers an equal amount of work.
No perfect heat engine
Efficiency of a heat engine
The efficiency is the
fraction of the heat input
at high temperature converted
to work.
hc
hh
QQ
W
e
QQ
−
==
In calculating efficiencies Q
h
and Q
c
are taken as positive quantities.
(i.e. the magnitude of the heat)
c
h
Q
e1
Q
=−
The second law says that a heat engine cannot be 100% efficient.
Carnot Cycle
Sadi Carnot, a French engineer (1796-1832) proposed a
cycle set the limits to the efficiency of a heat engine operating
between two temperatures.
The cycle consists of 4 reversible steps.
1. Isothermal expansion at T
h
2. Adiabatic expansion from T
h
to T
c
3. Isothermal compression at T
c
4. Adiabatic compression from T
c
to T
h.
P
V
T
h
T
c
Q
h
Q
c
1
2
3
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