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The
Second Law of Thermodynamics - Equilibrium & Heat Engines
The
Second Law Again
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Ominous Predictions
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"HEAT
DEATH
OF THE UNIVERSE!" |
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No there
is not a missing picture for the space above.
The above dark gray image is an artist's (me actually) rendition of the....
"HEAT DEATH OF THE UNIVERSE".
Everything is the same temperature. Boooorrrrinnng.
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Wind
up a spring!
All of the mechanical energy you put into the spring is now potential energy concentrated
in the spring.
Let it unwind and do some work - maybe to lift a weight or make a little toy car
go.
When the cute little car running on stored energy stops, the formerly-concentrated
energy is not gone, but has been converted through friction into low grade heat
energy in the air and car and wheels and ground. It's all spread out now. The
amount of energy is the same, but we can't use it again.
We can re-wind the spring, but that takes a new source of concentrated energy.
Food energy we ate, converted to muscle mechanical energy, converted to stored
concentrated potential energy of spring all finally converted to low grade heat
again. After each conversion energy is reduced to lower level, less concentrated,
energy.
Just like that spring the universe is winding down. Unless there is some great
hand we don't know about, to rewind it.
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Where
is Entropy?
The concept of entropy is an important aspect of the Second
Law. Though contrary to what you often hear it is not related
to messy rooms or the inefficiency of human bureaucracies.
And those mistaken analogies will not help you understand
the physical measurable thermodynamic property of matter called
entropy.
In fact, the 2nd Law of Thermodynamics was first formulated
without the concept of entropy.
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Let's start by summarizing
what we know so far (see previous page):
The Second Law of Thermodynamics tells us that energy always moves from a more
concentrated condition to a less concentrated, or more spread out, condition.
It gets "diluted" (my word - not official).
Energy will flow or move, making things happen, as long as there is a difference
in concentration. When there is no longer a difference in concentration, the system
is in equilibrium. When things are in equilibrium, energy stops changing and moving,
things stop happening.
Peaceful...and...really boring.
Finally, we explained that one of the most important aspects of the 2nd Law is
that energy becomes less "useful" as it moves to a less concentrated
condition. It is an inescapable fact that becoming less concentrated also makes
energy less useful.
The First Law tells us that the total amount of energy never changes no matter
how many transformations the energy makes.
But the Second Law tells us that the usefulness of energy decreases as it moves
and makes things happen.
Engineers say the energy "deteriorates". They talk about high quality
energy (concentrated), and low quality energy (spread out or less concentrated).
Still another term for deteriorated or low quality energy is "low-grade"
energy. Low-grade energy is difficult and expensive to use, or even impossible.
Nature can't use it either. Without a fresh dose of concentrated solar energy
everday, life would stop on our blue marble spaceship earth.
When Everything Stops
As far as we know this is one of those inescapable realities of physics. The ultimate
result of the Second Law of Thermodynamics is that energy in the whole universe
is steadily deteriorating, or "un-winding", to lower and lower quality.
In other words, the universe is steadily moving toward total equilibrium.
When the universe finally does reach total equilibrium, way off in the very far
distant future, everything will be at the same temperature, and nothing will happen
anymore. Everything will stop. Well, not everything. The atoms and molecules will
still be moving and colliding, vibrating and spinning, but all at the same average energy
level. There won't be anymore net heat transfer. No more energy flows, because there
won't be any difference in energy concentrations.
Scientists, in their happy way, like to cheer us up by calling this final state
of total equilibrium the "HEAT DEATH OF THE UNIVERSE"!!!
It's best when this is said dramatically in a deep booming voice.
Based on what we know so far, the "HEAT DEATH OF THE UNIVERSE" (don't forget the
deep booming voice) is inevitable.
But maybe we don't know everything yet. After all, everything got started once.
So don't worry about it.
There is a lot we don't know.
And it really is a long long way off.
What the Second Law Says About Machines
All Work Becomes Heat
We've talked about how energy moves and changes. As we've said elsewhere,
there are only two ways that energy can move or be transformed to make things
happen. One way is through a "work process". The other way is through a "heat
process", or what we also call "heat flow". We also use the word "heat" to refer to a type of energy that might better be called thermal energy.
Work can be converted to heat. In fact all work eventually ends up as heat
through friction. The energy, converted through work processes, that pushes cars
down the road and locomotives down the track, all ends up as heat. In other words,
100% of work can be, and is eventually, converted to heat.
But Not All Heat Can Become Work
Heat can also be converted to work.
Engineers convert heat to work in a type of engine they call heat engines. Steam
engines are a good example of a heat engine. The heat in the boiler is used to
turn water into steam, then the steam is used to drive a turbine or push a piston.
Heat energy is transformed into work energy.
Other engines, like jet engines, gasoline (petrol), and diesel engines can also
be considered to be heat engines. Though they don't fit the exact text book description
of a heat engine, they also convert heat into work. And they follow the same Laws
of Thermodynamics.
Ah, but there is another rub here.
The Second Law tells us something about heat engines:
It tells us that not all the heat energy available to a heat engine can be converted
into work energy. If all the heat energy could be turned into work energy, then
our heat engine would have a thermal efficiency of 100 percent (%).
That's what we engineers want. We want to make our engines 100% efficient. Car
drivers want that too. The more efficient the engine, the farther the car can
go on a gallon of gas. Dream on! The Second Law tells us we can't do that. In
reality we don't even get close. Most car engines have thermal efficiencies well
below 40%.
The heat energy flows through the engine from concentrated high temperature to
less concentrated low temperature.
Sound familiar? Just as a wind turbine
cannot be 100% efficient, because some energy must remain in the air just to move
it out of the way of the air behind it, some heat must also be rejected out of
the engine to keep it running. The engine cannot operate in a continous cycle
if no heat is rejected.
The Best Type of Heat Engine That Can Exist...
Back in another century, a very smart French man named Carnot figured out what
the best thermal efficiency possible is for a heat engine, and it's not that great.
The best type of heat engine is called a Carnot engine (guess where the name came
from). It is such a perfect engine that we can only imagine it. We can't really
make one. We can make something close, but it is pretty useless because it has
to move slow to approach the Carnot cycle. (Carnot is pronounced kar-no, with
a long o sound).
Anyway, the efficiency of this perfect heat engine is not 100%. That's another
way mechanical engineers like to say the 2nd Law, "You can't make a heat
engine with an efficiency of 100%. Sorry."
We always apologize after we say it. We feel bad. Someone is always dissappointed
by this statement. Some people don't believe it, and try to make perpetual motion
machines to prove us wrong. But in the end they have all had one thing in common
- they have all been the ones that are wrong.
There is a simple formula to predict the efficiency of a Carnot engine. The formula
only needs temperature. It is based only on the ratio of the high temperature
going into the engine and the low temperature leaving the engine.
This means the best possible
efficiency of an ideal best-possible heat engine is based only on the operating
temperatures of the engine. It's not quite that simple in real engines. But it
is also generally helpful in real heat engines to have high combustion temperatures
in order to achieve the highest efficiencies.
Alas, engine parts tend to burn or melt when temperatures get really hot. So one
of the things that limits the efficiency of real engines is the ability of the
engine materials to withstand high temperatures.
...Still Can't Convert All the Heat to Work
But even if we could get much higher temperatures, we still
could not convert all the heat into mechanical energy (2nd Law).
Combined Heat and Power (CHP)
Sometimes we can use the "waste" heat for something useful like heating
our living spaces. Your car's heater most likely uses waste heat from the engine's
cooling water to heat the passenger compartment. At a place I used to work, exhaust
energy from big diesel generator sets was used to make steam. The steam was then
piped around the plant to heat the factories and office spaces. This is called
Combined Heat and Power or CHP for short. An engine
is used to make electricity by powering a generator, while the "waste heat"
from the engine is used to provide heat for other uses. It is a very good way
to use energy efficiently.
To paraphrase an old saying, "One person's waste heat is another person's
useful energy".
To summarize...
All mechanical energy can and does eventually become less concentrated heat energy.
But we can't go the other way. We can't convert all of the heat energy into mechanical
energy. A large percentage of the heat just passes through and comes out the other
side less concentrated and less useful. Engineers often call it waste heat, because
to them it is energy that was wasted. Sometimes we can still use the low-grade
heat to heat our homes and offices in a type of application called Combined Heat
and Power.
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