Heat Engine
A heat engine takes in energy by
heat and partially converts it to
other forms
In general, a heat engine carries
some working substance through a
cyclic process
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Heat Engine, cont.
Energy is
transferred from
a source at a high
temperature (Q
h)
Work is done by
the engine (W
eng)
Energy is expelled
to a source at a
lower
temperature (Q
c)
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Heat Engine, cont.
Since it is a cyclical
process, ΔU = 0
Its initial and final internal
energies are the same
Therefore, Q
net= W
eng
The work done by the
engine equals the net
energy absorbed by the
engine
The work is equal to the
area enclosed by the
curve of the PV diagram
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Thermal Efficiency of a
Heat Engine
Thermal efficiency is defined as the
ratio of the work done by the engine to
the energy absorbed at the higher
temperature
e = 1 (100% efficiency) only if Q
c= 0
No energy expelled to cold reservoir1
eng h c c
h h h
W Q Q Q
Q Q Q
e
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Heat Pumps and
Refrigerators
Heat engines can run in reverse
Energy is injected
Energy is extracted from the cold reservoir
Energy is transferred to the hot reservoir
This process means the heat engine is
running as a heat pump
A refrigerator is a common type of heat
pump
An air conditioner is another example of a
heat pump
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Heat Pump, cont
The work is what
you pay for
The Q
cis the desired
benefit
The coefficient of
performance (COP)
measures the
performance of the
heat pump running
in cooling mode
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Second Law of
Thermodynamics
Constrains the First Law
Establishes which processes
actually occur
Heat engines are an important
application
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Second Law of
Thermodynamics
No heat engine operating in a
cycle can absorb energy from a
reservoir and use it entirely for the
performance of an equal amount
of work
Kelvin –Planck statement
Means that Q
ccannot equal 0
Some Q
cmust be expelled to the
environment
Means that e must be less than 100%
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Summary of the First and
Second Laws
First Law
We cannot get a greater amount of
energy out of a cyclic process than
we put in
Second Law
We can’t break even
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Reversible and Irreversible
Processes
A reversibleprocess is one in which every
state along some path is an equilibrium
state
And one for which the system can be returned
to its initial state along the same path
An irreversibleprocess does not meet
these requirements
Most natural processes are irreversible
Reversible process are an idealization, but
some real processes are good
approximations
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Sadi Carnot
1796 –1832
French Engineer
Founder of the
science of
thermodynamics
First to recognize
the relationship
between work
and heat
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Carnot Engine
A theoretical engine developed by Sadi Carnot
A heat engine operating in an ideal, reversible
cycle (now called a Carnot Cycle) between two
reservoirs is the most efficient engine possible
Carnot’s Theorem: No real engine operating
between two energy reservoirs can be more
efficient than a Carnot engine operating
between the same two reservoirs
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Carnot Cycle
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Carnot Cycle, A to B
A to B is an
isothermal expansion
at temperature T
h
The gas is placed in
contact with the high
temperature
reservoir
The gas absorbs
heat Q
h
The gas does work
W
ABin raising the
piston
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Carnot Cycle, B to C
B to C is an adiabatic
expansion
The base of the
cylinder is replaced
by a thermally
nonconducting wall
No heat enters or
leaves the system
The temperature
falls from T
hto T
c
The gas does work
W
BC
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Carnot Cycle, C to D
The gas is placed in
contact with the cold
temperature reservoir
at temperature T
c
C to D is an isothermal
compression
The gas expels energy
Q
C
Work W
CDis done on
the gas
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Carnot Cycle, D to A
D to A is an adiabatic
compression
The gas is again placed
against a thermally
nonconducting wall
So no heat is exchanged
with the surroundings
The temperature of the
gas increases from T
Cto
T
h
The work done on the
gas is W
CD
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Carnot Cycle, PV Diagram
The work done by
the engine is shown
by the area
enclosed by the
curve
The net work is
equal to Q
h-Q
c
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Efficiency of a Carnot
Engine
Carnot showed that the efficiency of the
engine depends on the temperatures of
the reservoirs
Temperatures must be in Kelvins
All Carnot engines operating between
the same two temperatures will have
the same efficiencyh
C
c
T
T
1e
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Notes About Carnot
Efficiency
Efficiency is 0 if T
h= T
c
Efficiency is 100% only if T
c= 0 K
Such reservoirs are not available
The efficiency increases as T
cis
lowered and as T
his raised
In most practical cases, T
cis near
room temperature, 300 K
So generally T
his raised to increase
efficiency
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Real Engines Compared to
Carnot Engines
All real engines are less efficient
than the Carnot engine
Real engines are irreversible because
of friction
Real engines are irreversible because
they complete cycles in short
amounts of time
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Rankine Cycle:
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Process 1-2: Water from the condenser at low pressure is pumped into the
boiler at
high pressure. This process is reversible adiabatic.
Process 2-3: Water is converted into steam at constant pressure by the
addition of heat
in the boiler.
Process 3-4: Reversible adiabatic expansion of steam in the steam turbine.
Process 4-1: Constant pressure heat rejection in the condenser to convert
condensate
into water.
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Air Standard Otto Cycle:
The air-standard-Otto cycle is the idealized cycle for
the spark-ignition internal
combustion engines. This cycle is shown above on p-v
and T-s diagrams. The Otto
cycle 1-2-3-4 consists of following four process:
Process 1-2: Reversible adiabatic compression of air.
Process 2-3: Heat addition at constant volume.
Process 3-4: Reversible adiabatic expansion of air.
Process 4-1: Heat rejection at constant volume.
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Air Standard Diesel Cycle
Process 1-2: Reversible adiabatic Compression.
Process 2-3: Constant pressure heat addition.
Process 3-5: Reversible adiabatic Compression.
Process 4-1: Constant volume heat rejection.
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