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Heat Engines
A gasoline engine is a form of a heat engine, e.g. a 4-stroke
engine
INTAKE stroke:
the piston descends from the top to the bottom of the
cylinder, reducing the pressure inside. A mixture of fuel and
air, is forced by atmospheric pressure into the cylinder
through the intake port. The intake valve then close.
COMPRESSION stroke:
with both intake and exhaust valves closed, the piston
returns to the top of the cylinder compressing the fuel-air
mixture.
POWER stroke:
the compressed air–fuel mixture in a gasoline engine is
ignited by a spark plug. The compressed fuel-air mixture
expand and move the piston back
EXHAUST stroke:
during the exhaust stroke, the piston once again returns to
top while the exhaust valve is open and expel the spent fuel-
air mixture out through the exhaust valve(s).
3E09, 3E10, 2E12 Engines
Steam Engine
Stirling Engine
running on a cup of hot water:
• When the yellow foam inside the engine is
near the top of the cylinder most of the air
is on the bottom side (the hot side) where it
is heated.
• When the air gets hot it expands and
pushes up on the piston. When the foam
moves to the bottom of the engine it moves
most of the air to the top of the engine.
• The top of the engine is cool, allowing the
air inside the engine to cool off (reject heat
to the environment) and
• the piston receives a downward push.
3E09, 3E10, 2E12 Engines
Steam Engine
Stirling Engine
1. A fire where the coal burns.
2. A boiler full of water that the fire heats up
to make steam.
3. A cylinder and piston. Steam from the
boiler is piped into the cylinder, causing the
piston to move first one way then the
other. This in and out movement (which is
also known as "reciprocating") is used to
drive...
4. A machine attached to the piston. That
could be anything from a water pump to a
factory machine... or even a giant steam
locomotive running up and down a
railroad.
Efficiency
• Efficiency is the ratio of the
net work done by the
engine to the amount of
heat that must be supplied
to accomplish this work.
e 
W
QH
A heat engine takes in 1200 J of heat from the
high-temperature heat source in each cycle, and
does 400 J of work in each cycle. What is the
efficiency of this engine?
a) 33%
b) 40%
c) 66%
QH = 1200 J
W = 400 J
e = W / QH
= (400 J) / (1200 J)
= 1/3 = 0.33
= 33%
How much heat is released into the
environment in each cycle?
a) 33 J
b) 400 J
c) 800 J
d) 1200 J
QC = QH - W
= 1200 J - 400 J
= 800 J
Carnot Engine
• The efficiency of a typical automobile engine is less
than 30%.
– This seems to be wasting a lot of energy.
– What is the best efficiency we could achieve?
– What factors determine efficiency?
• The cycle devised by Carnot that an ideal engine
would have to follow is called a Carnot cycle.
• An (ideal, not real) engine following this cycle is
called a Carnot engine.
• If the process is adiabatic, no heat flows into or out of the gas
• In an isothermal process, the temperature does not change.
– The internal energy must be constant.
– The change in internal energy, U, is zero.
– If an amount of heat Q is added to the gas, an equal amount of work W will be done
by the gas on its surroundings, from U = Q - W.
• In an isobaric process, the pressure of the gas remains constant.
– The internal energy increases as the gas is heated, and so does the temperature.
– The gas also expands, removing some of the internal energy.
• Experiments determined that the pressure, volume, and absolute
temperature of an ideal gas are related by the equation of state:
PV = NkT where N is the number of molecules
and k is Boltzmann’s constant.
Different Thermal Process
1. Heat flows into cylinder at temperature TH. The
fluid expands isothermally and does work on
the piston.
2. The fluid continues to expand, adiabatically.
3. Work is done by the piston on the fluid, which
undergoes an isothermal compression.
4. The fluid returns to its initial condition by an
adiabatic compression.
Carnot Efficiency
• The efficiency of Carnot’s ideal engine is called the Carnot
efficiency and is given by:
• This is the maximum efficiency possible for any engine
taking in heat from a reservoir at absolute temperature TH
and releasing heat to a reservoir at temperature TC.
– The temperature must be measured in absolute degrees.
• Even Carnot’s ideal engine is less than 100% efficient.

eC 
TH  TC
TH
A steam turbine takes in steam at a temperature of
400C and releases steam to the condenser at a
temperature of 120C. What is the Carnot
efficiency for this engine?
a) 30%
b) 41.6%
c) 58.4%
d) 70%
TH = 400C = 673 K
TC = 120C = 393 K
eC = (TH - TC ) / TH
= (673 K - 393 K) / (673 K)
= 280 K / 673 K
= 0.416 = 41.6%
Quiz: If the turbine takes in 500 kJ of heat in
each cycle, what is the maximum amount of work
that could be generated by the turbine in each
cycle?
a) 0.83 J
b) 16.64 kJ
c) 28 kJ
d) 208 kJ
QH = 500 kJ
e = W / QH ,
so W = e QH
= (0.416)(500 kJ)
= 208 kJ
Entropy
• entropy is an expression of disorder or randomness.
– the higher the level of disorder, the higher the entropy is.
– e.g. When an objected is broken into small pieces, entropy
increases.
– 𝑒𝑛𝑡𝑟𝑜𝑝𝑦 = 𝑘 𝐵ln(Ω) , where Ω is number of microstates
– 𝑐ℎ𝑎𝑛𝑔𝑒 𝑜𝑓 𝑒𝑛𝑡𝑟𝑜𝑝𝑦 =
∆𝑄
𝑇
, ∆𝑄 is the change of the system heat
and T is the absolute temperature of the system.
– When a system absorb heat, ∆𝑄 is positive, i.e. entropy
increase. Otherwise, the entropy decrease.
The ice and water in a cup has reach equilibrium at the
melting temperature of ice. In this system, 100 J heat from
the warmer surrounding room at 298 K transfers to the cooler
system of ice and water at its constant temperature (T) of 273
K, i.e. the melting temperature of ice. What’s the change of
the entropy of the system, i.e. cut, water and ice.
A. Increase 0.366 J/K
B. Decrease 0.366 J/K
C. Increase by 0.336 J/k
D. Decrease by 0.336 J/k.
E. The entropy is unchanged.
The ice and water in a cup has reach equilibrium at the
melting temperature of ice. In this system, 100 J heat from
the warmer surrounding room at 298 K transfers to the cooler
system of ice and water at its constant temperature (T) of 273
K, i.e. the melting temperature of ice. What’s the change of
the entropy of the surrounding room.
A. Increase 0.366 J/K
B. Decrease 0.366 J/K
C. Increase by 0.336 J/k
D. Decrease by 0.336 J/k.
E. The entropy is unchanged.
Treat the room, the cup and the water and ice as one single
system. The net change of the system entropy is: 0.366-0.336 =
0.03 J/k, i.e. entropy is not a conservative quantity. It increased
during this process.
The above heat exchange process is a spontaneous process.
One can make a more general statement:
“entropy of an isolated system, i.e. no heat exchange
with other systems, always increases, and processes
which increase entropy can occur spontaneously”.
This is the second law of thermodynamics.
Heat Pumps, and Entropy
• If a heat engine is run in reverse,
then work W is done on the engine
as heat QC is removed from the
lower-temperature reservoir and a
greater quantity of heat QH is
released to the higher-
temperature reservoir.
• A device that moves heat from a
cooler reservoir to a warmer
reservoir by means of work
supplied from some external
source is called a heat pump.
W QC QH
Refrigerators
and Heat Pumps
• A refrigerator is also a form of a heat
pump.
• It also moves heat from a cooler
reservoir to a warmer reservoir by
means of work supplied from some
external source.
• It keeps food cold by pumping heat out
of the cooler interior of the refrigerator
into the warmer room.
• An electric motor or gas-powered
engine does the necessary work.
Another Statement of The
Second Law of Thermodynamics
• Heat will not flow from a colder body to a
hotter body unless some other process is also
involved.
Quiz: A heat pump uses 200 J of work to remove
300 J of heat from the lower-temperature
reservoir. How much heat would be delivered to
the higher-temperature reservoir?
a) 100 J
b) 200 J
c) 300 J
d) 500 J
W = 200 J
QC = 300 J
QH = W + QC
= 200 J + 300 J
= 500 J

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heat engine overview

  • 1. Heat Engines A gasoline engine is a form of a heat engine, e.g. a 4-stroke engine INTAKE stroke: the piston descends from the top to the bottom of the cylinder, reducing the pressure inside. A mixture of fuel and air, is forced by atmospheric pressure into the cylinder through the intake port. The intake valve then close. COMPRESSION stroke: with both intake and exhaust valves closed, the piston returns to the top of the cylinder compressing the fuel-air mixture. POWER stroke: the compressed air–fuel mixture in a gasoline engine is ignited by a spark plug. The compressed fuel-air mixture expand and move the piston back EXHAUST stroke: during the exhaust stroke, the piston once again returns to top while the exhaust valve is open and expel the spent fuel- air mixture out through the exhaust valve(s).
  • 2. 3E09, 3E10, 2E12 Engines Steam Engine Stirling Engine running on a cup of hot water: • When the yellow foam inside the engine is near the top of the cylinder most of the air is on the bottom side (the hot side) where it is heated. • When the air gets hot it expands and pushes up on the piston. When the foam moves to the bottom of the engine it moves most of the air to the top of the engine. • The top of the engine is cool, allowing the air inside the engine to cool off (reject heat to the environment) and • the piston receives a downward push.
  • 3. 3E09, 3E10, 2E12 Engines Steam Engine Stirling Engine 1. A fire where the coal burns. 2. A boiler full of water that the fire heats up to make steam. 3. A cylinder and piston. Steam from the boiler is piped into the cylinder, causing the piston to move first one way then the other. This in and out movement (which is also known as "reciprocating") is used to drive... 4. A machine attached to the piston. That could be anything from a water pump to a factory machine... or even a giant steam locomotive running up and down a railroad.
  • 4. Efficiency • Efficiency is the ratio of the net work done by the engine to the amount of heat that must be supplied to accomplish this work. e  W QH
  • 5. A heat engine takes in 1200 J of heat from the high-temperature heat source in each cycle, and does 400 J of work in each cycle. What is the efficiency of this engine? a) 33% b) 40% c) 66% QH = 1200 J W = 400 J e = W / QH = (400 J) / (1200 J) = 1/3 = 0.33 = 33%
  • 6. How much heat is released into the environment in each cycle? a) 33 J b) 400 J c) 800 J d) 1200 J QC = QH - W = 1200 J - 400 J = 800 J
  • 7. Carnot Engine • The efficiency of a typical automobile engine is less than 30%. – This seems to be wasting a lot of energy. – What is the best efficiency we could achieve? – What factors determine efficiency? • The cycle devised by Carnot that an ideal engine would have to follow is called a Carnot cycle. • An (ideal, not real) engine following this cycle is called a Carnot engine.
  • 8. • If the process is adiabatic, no heat flows into or out of the gas • In an isothermal process, the temperature does not change. – The internal energy must be constant. – The change in internal energy, U, is zero. – If an amount of heat Q is added to the gas, an equal amount of work W will be done by the gas on its surroundings, from U = Q - W. • In an isobaric process, the pressure of the gas remains constant. – The internal energy increases as the gas is heated, and so does the temperature. – The gas also expands, removing some of the internal energy. • Experiments determined that the pressure, volume, and absolute temperature of an ideal gas are related by the equation of state: PV = NkT where N is the number of molecules and k is Boltzmann’s constant. Different Thermal Process
  • 9. 1. Heat flows into cylinder at temperature TH. The fluid expands isothermally and does work on the piston. 2. The fluid continues to expand, adiabatically. 3. Work is done by the piston on the fluid, which undergoes an isothermal compression. 4. The fluid returns to its initial condition by an adiabatic compression.
  • 10. Carnot Efficiency • The efficiency of Carnot’s ideal engine is called the Carnot efficiency and is given by: • This is the maximum efficiency possible for any engine taking in heat from a reservoir at absolute temperature TH and releasing heat to a reservoir at temperature TC. – The temperature must be measured in absolute degrees. • Even Carnot’s ideal engine is less than 100% efficient.  eC  TH  TC TH
  • 11. A steam turbine takes in steam at a temperature of 400C and releases steam to the condenser at a temperature of 120C. What is the Carnot efficiency for this engine? a) 30% b) 41.6% c) 58.4% d) 70% TH = 400C = 673 K TC = 120C = 393 K eC = (TH - TC ) / TH = (673 K - 393 K) / (673 K) = 280 K / 673 K = 0.416 = 41.6%
  • 12. Quiz: If the turbine takes in 500 kJ of heat in each cycle, what is the maximum amount of work that could be generated by the turbine in each cycle? a) 0.83 J b) 16.64 kJ c) 28 kJ d) 208 kJ QH = 500 kJ e = W / QH , so W = e QH = (0.416)(500 kJ) = 208 kJ
  • 13. Entropy • entropy is an expression of disorder or randomness. – the higher the level of disorder, the higher the entropy is. – e.g. When an objected is broken into small pieces, entropy increases. – 𝑒𝑛𝑡𝑟𝑜𝑝𝑦 = 𝑘 𝐵ln(Ω) , where Ω is number of microstates – 𝑐ℎ𝑎𝑛𝑔𝑒 𝑜𝑓 𝑒𝑛𝑡𝑟𝑜𝑝𝑦 = ∆𝑄 𝑇 , ∆𝑄 is the change of the system heat and T is the absolute temperature of the system. – When a system absorb heat, ∆𝑄 is positive, i.e. entropy increase. Otherwise, the entropy decrease.
  • 14. The ice and water in a cup has reach equilibrium at the melting temperature of ice. In this system, 100 J heat from the warmer surrounding room at 298 K transfers to the cooler system of ice and water at its constant temperature (T) of 273 K, i.e. the melting temperature of ice. What’s the change of the entropy of the system, i.e. cut, water and ice. A. Increase 0.366 J/K B. Decrease 0.366 J/K C. Increase by 0.336 J/k D. Decrease by 0.336 J/k. E. The entropy is unchanged.
  • 15. The ice and water in a cup has reach equilibrium at the melting temperature of ice. In this system, 100 J heat from the warmer surrounding room at 298 K transfers to the cooler system of ice and water at its constant temperature (T) of 273 K, i.e. the melting temperature of ice. What’s the change of the entropy of the surrounding room. A. Increase 0.366 J/K B. Decrease 0.366 J/K C. Increase by 0.336 J/k D. Decrease by 0.336 J/k. E. The entropy is unchanged.
  • 16. Treat the room, the cup and the water and ice as one single system. The net change of the system entropy is: 0.366-0.336 = 0.03 J/k, i.e. entropy is not a conservative quantity. It increased during this process. The above heat exchange process is a spontaneous process. One can make a more general statement: “entropy of an isolated system, i.e. no heat exchange with other systems, always increases, and processes which increase entropy can occur spontaneously”. This is the second law of thermodynamics.
  • 17. Heat Pumps, and Entropy • If a heat engine is run in reverse, then work W is done on the engine as heat QC is removed from the lower-temperature reservoir and a greater quantity of heat QH is released to the higher- temperature reservoir. • A device that moves heat from a cooler reservoir to a warmer reservoir by means of work supplied from some external source is called a heat pump. W QC QH
  • 18. Refrigerators and Heat Pumps • A refrigerator is also a form of a heat pump. • It also moves heat from a cooler reservoir to a warmer reservoir by means of work supplied from some external source. • It keeps food cold by pumping heat out of the cooler interior of the refrigerator into the warmer room. • An electric motor or gas-powered engine does the necessary work.
  • 19. Another Statement of The Second Law of Thermodynamics • Heat will not flow from a colder body to a hotter body unless some other process is also involved.
  • 20. Quiz: A heat pump uses 200 J of work to remove 300 J of heat from the lower-temperature reservoir. How much heat would be delivered to the higher-temperature reservoir? a) 100 J b) 200 J c) 300 J d) 500 J W = 200 J QC = 300 J QH = W + QC = 200 J + 300 J = 500 J