Hydrogen
Students of mathematics are familiar with the
Jacobi matrix. This is usually dealt with in the second semester
of the analysis lectures. The name Jacobi honors Carl
Gustav
Jacob Jacobi, who did actually think about the Jacobi
matrix. His brother, Moritz von
Jacobi was perhaps a more practical man. We have Jacobi's
law, which was discovered by Moritz and which is concerned
with electricity. In 1838, Moritz von Jacobi motored 7 1/2
kilometers along the Neva river in St. Petersberg in a 28 foot
electrical paddle-wheel boat at the speed of 2 1/2 km/hr, using a
220 watt motor. A year later, he had constructed an improved motor
delivering a power of 700 watts, which is nearly one horse-power.
His battery was constructed using zinc and platinum - a rather
expensive mixture!
So here we are almost 175 years later, and the
whole world is now excited about the prospect of having electrical
cars in the future.
(This public domain image of Thomas Edison, proudly presenting his electrical car in the year 1913, can be found in the Wikepedia.)
Indeed, our neighbor, who was a professor of electricity, was also
enthusiastic about getting an electrical car after his retirement.
A very expensive proposition! He bought one about 10 years ago and
drove it for a year or two before finally giving up, realizing
that even a life's worth of enthusiasm for electricity is not
sufficient to make electrical cars into a practical proposition.
Making electrical motors is a simple, almost
primitive business. Low tech. When we first moved into our house
with its large garden and much grass to mow, I got an electrical
lawn mower. I hate those noisy, smelly gasoline mowers which some
of the other neighbors have. When they start mowing their lawns, I
put in my ear plugs to dampen down the irritation. Then I think of
the smell they are producing, the poisonous gases. And what a
problem gasoline motors in lawn mowers give to their owners! How
many people have gotten their backs out of joint pulling away at
the starting chord? Then if the mixture isn't quite right, you
have to fiddle with the screws on the carburettor, hopefully
getting the motor to settle down to a loud, but steady, racket.
You have to take it in to be serviced every year. No! I wanted
nothing to do with such problems and so I just got a simple
electrical lawn mower. After 20 years it is still working
perfectly; no loud noise, no stink. It has never been serviced. As
good as new!
Electrical lawn mowers are vastly superior to
gasoline lawn mowers owing to the fact that you can simply plug
them in to an external electrical plug on the house with a long
electrical cable. The distance from the electrical plug to the
most distant bit of lawn in our garden is about 30 meters or so.
This can be dealt with using a standard electrical garden cable,
obtainable at any hardware shop.
The problem with electrical cars though, is
that they are expected to drive more than 30 meters away from the
outside electrical plug on the owner's house to more distant
destinations. Even kilometers away. Even thousands of
kilometers away! At least that is what we are used to doing with
modern cars using the principle of internal combustion, thus
making us independent of the power plug in the house.
A solution to this problem is offered by the
technique of carrying a battery around with you in the car. The
solution found by Moritz von Jacobi involved the use of that very
fine metal, platinum. I see that despite the fact that the price
of gold has ballooned up in recent times to over $1,000 an ounce,
still, platinum remains even more expensive. Googling the price of
platinum just now, I have discovered that it costs $1,337 an
ounce. Thus, while it may have provided Moritz von Jacobi with a
wonderfully elegant battery with which to progress gracefully
along the Neva past all those magnificent palaces of the old
Russian aristocracy, still, for the common man, it remains too
expensive, even today.
The common people have been making do with lead
for the last 175 years. Now it is true that a lead battery is
satisfactorily robust. Nevertheless, it is heavy - as heavy as
lead! And the amount of electrical energy which can be stored in a
10 or 20 kg. lead battery, while being more than enough to run the
lights, radio and the starter motor of a car, is insufficient to
actually drive very far. Thus a lead battery car, such as
that of Thomas Edison, becomes extremely heavy if it is expected
to be driven more than just a few miles between recharges. To cut
down on weight, people try to make the structures of these cars as
light as possible. So you end up with a flimsy car, loaded down
with a ton of lead. A seemingly absurd, inefficient and dangerous
proposition! Even worse, the lead battery only lasts a couple of
years, after which it must be replaced at great expense.
Furthermore, lead, a heavy metal, is considered to be dangerously
poisonous if the battery corrodes and becomes leaky.
But no! Lead batteries are now passé. For
example the battery in this laptop computer which I have had for
the last 4 or 5 years runs on lithium ions. The most common
isotope of lithium has an atomic weight of 7, so it stands at the
other (lighter) end of the periodic table when compared with lead.
It is also a metal, yet so light that its density is only about
half that of water, so that it would float. On the other hand, it
would not be a particularly good idea to try floating a slab of
lithium on water since this would probably lead to an unpleasant
explosion. The lithium atoms will violently grab the oxygen atoms
from the water molecules, releasing the hydrogen from the water
which, presumably, would then further explode when reacting with
the free oxygen in the air. Indeed, one sometimes reads in the
papers of exploding laptop batteries, or of exploding mobile
telephones. Lithium is, in fact, so explosive that it has been
used for making incendiary bombs for military use! If, heaven
forbid! you are so careless as to short-circuit a lithium ion
battery, then you get a very dangerous and intense fire which is
practically impossible to put out.
Thus - it is emphasized - you are not allowed
to use a no-name replacement battery in your laptop. Instead, in
order to avoid explosions, you must install a certified, authentic
replacement. The Internet is filled with offers of cheap
alternative batteries for my laptop, yet even they cost about €50.
The official replacement battery costs more than €100.
Although lithium is light, when I take the
battery out and hold it in my hand, it seems to me to be still
quite heavy. It's almost as heavy as if it were a lead battery.
Perhaps all that weight comes from the layers of material forming
the casing, keeping all that explosive lithium isolated from the
outside world. Putting it on the kitchen scales, I see that it
weighs 414 grams, or about one pound. For that, it has a capacity
of 4300mAh at 14.8 volts, which, in more conventional terms means
that it stores about 0.064 kilowatt hours of energy. A tiny
fraction of the energy which Moritz von Jacobi's platinum battery
was able to store back in 1838. Thinking about it, I see that you
would need perhaps 100 pounds of these lithium ion batteries in
order to run Moritz's paddle-wheel boat with the one horsepower
motor for a couple of hours along the Neva river, taking you a few
kilometers.
Unfortunately though, the lithium ion battery
in my laptop - having reached the advanced age of 4 or 5 years -
is gradually giving up the ghost. Whereas when new it was able to
power the computer for 3 or 4 hours, now its feeble remaining
power is only capable of keeping things alive for at most an hour.
The capacity must have dropped to only 0.02 kilowatt hours, or
even less! Probably most people would say that the best thing to
do would be to just chuck things in the garbage and get a new
laptop, since this one is so much behind the times anyway. But it
says in small, but capital letters on the battery that rather than
chucking it into the garbage, one should "DISPOSE OF PROPERLY". So
maybe it is not only expensive and explosive, but poisonous as
well.
Translating all of this into the problem of
running a car on batteries, rather than a mere laptop, I begin to
understand the seemingly absurd problems which the automobile
industry now faces. I can ignore the fact that the battery in this
laptop has become old and weak; after all, it runs just as well
plugged into the power in the wall. But you can't do that with an
electrical car. If it costs €100 to replace the one pound battery
in this laptop, then (using a rather unfair calculation) it would
cost €100,000 to replace the thousand pound battery every two or
three years in an electrical car! Even if I had so much money, I
wouldn't waste it on that.
One consequence of George W. Bush's wars was
that along with gold, the price of raw oil ballooned upwards, up
to $150 per barrel. And then the atomic power lobby seems to have
gotten a semi-religious movement started, whose credo is that it
is a sin to use internal combustion engines in cars. Instead,
electrical cars must be driven in the future, powered by the
electricity generated by their atomic power stations. The
proclamations and prophesies of the prophets of this religion have
succeeded in implanting such a general feeling of guilt in people
that they have become afraid to buy new cars, even though their
old ones are wearing out. Thus some of the big companies: General
Motors, Chrysler, and so forth, have become bankrupt. In order to
"save" them, the government has taken them over, but under the
condition that they absolve themselves of their sins. That is,
they must now obey the instructions of the powers that be behind
atomic power, and produce electrical cars, come what may! The
drum-beat of the newspapers, television, and all the rest of the
media constantly beat this message into our brains.
But isn't there a better way to do things?
Can't we get away from this whole atomic energy, global warming
mantra? In a more rational world, people would realize that a
battery, or indeed even gasoline, is nothing more than a way to
store energy. So what possibilities are there for storing energy
in a way which would be suitable for driving a car? Gasoline is
suitable; electricity is not particularly suitable.
We have the hybrid car, which is supposed to
combine the advantages of both. But does it? Or does it combine
the dis-advantages of both? The idea is that when applying
the brakes, rather than having the kinetic energy of the car
simply being dissipated as heat, it is stored in a small battery,
then re-used in the electric motors which drive the car. However
the real source of energy is a normal internal combustion engine
driving a generator which keeps recharging the battery which
drives the electric motors.
All of this may indeed be sensible for people
whose driving style involves alternately giving full gas, then
hitting the brakes to bring the car to a screeching stop and so
terrorizing the rest of the people on the road and giving the
passengers in the car a bad case of car-sickness. Indeed, the idea
of hybrids would be ideal for racing cars. But for normal people
driving in a moderate style, anticipating the traffic ahead, I
can't see the sense of hybrids. I try to use the brakes as little
as possible, even at a full stop just using them lightly. Only a
very tiny fraction of the energy obtained in the motor would be
reused after breaking. The price to pay is to have not only a
gasoline motor which must be sufficiently powerful to keep up with
the traffic for hours on the motorway, but in addition the car
must continuously carry around the weight of a battery and
electrical motors. I have read that Toyota guarantees the battery
for the life of its Prius cars. Judging from the performance of my
laptop battery, I wonder how effective the hybrid would be when
its battery becomes 5 or more years old?
So what about hydrogen? It is the
lightest of elements. It can be burned in an internal combustion
engine, or more efficiently turned into electricity in a fuel
cell. Amongst other possibilities,
it can be stored under pressure or in a metal hydride. Or perhaps
propane, butane, and so forth, could be synthesized from hydrogen
and carbon, giving the easily transportable lpg (liquefied petroleum
gas). A car would run cleanly for hundreds of miles with a single
tank filling. Twenty or thirty years ago, many people said that in
the future, the world would gradually become transformed into a hydrogen
economy. (This article in the Wikipedia - which is written
by anonymous members of the general public clicking themselves in
and just writing what they like - is amusing in that it tries at
every turn to show the disadvantages
of using hydrogen, often stating the obvious in a distorted way.)
For example it is often pointed out that it is
not very sensible to connect windmills or solar cells directly
into the electrical power system, since the wind varies and the
sun goes down at night. Thus it is necessary to have a conventional
generating capacity sufficient to cover the peak of demand. All of
this is true, and it shows that the present, highly subventioned,
so-called "renewable" energy which people here in Germany are now
being forced into for political reasons, is tremendously wasteful.
But if we had a hydrogen economy, then at least the variable power
produced by windmills could be used to produce hydrogen from
water, effectively storing the energy. (Of course hydrogen can
also be stored as methane - which is essentially what natural gas
is. But this leads to a direct comparison of the conventional
method of obtaining natural gas, namely drilling a hole in the
ground, with inefficient, polluting, habitat-destroying
windmills.)
The owner of a windmill will obviously prefer to sell his
electricity into the power grid if the power companies are
required by law to pay the windmill owners three or four times
more for the windmill electricity than the cost of producing
electricity by conventional means. Thus the leaders of the world
are pushing us with united force into a future of impractical,
expensive, poisonous electrical batteries, whose manufacture will
involve new extremes of environmental pollution.