Worlds Within Worlds: The Story of Nuclear Energy, Volume 2 (of 3): Mass and Energy; The Neutron; The Structure of the NucleusAsimov, Isaac
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Worlds Within Worlds: The Story of Nuclear Energy, Volume 2 (of 3): Mass and Energy; The Neutron; The Structure of the Nucleus
Asimov, Isaac
Nuclear energy -- Popular works
Could this really be so? Ordinary objects never moved so fast as to make
their lengths and masses show any measurable change. What about
subatomic particles, however, which moved at tens of thousands of
kilometers per second? The German physicist Alfred Heinrich Bucherer
(1863-1927) reported in 1908 that speeding electrons did gain in mass
just the amount predicted by Einstein’s theory. The increased mass with
energy has been confirmed with great precision in recent years.
Einstein’s special theory of relativity has met many experimental tests
exactly ever since and it is generally accepted by physicists today.
Einstein’s theory gave rise to something else as well. Einstein deduced
that mass was a form of energy. He worked out a relationship (the
“mass-energy equivalence”) that is expressed as follows:
_E_ = _mc_²
where _E_ represents energy, _m_ is mass, and _c_ is the speed of light.
If mass is measured in grams and the speed of light is measured in
centimeters per second, then the equation will yield the energy in a
unit called “ergs”. It turns out that 1 gram of mass is equal to
900,000,000,000,000,000,000 (900 billion billion) ergs of energy. The
erg is a very small unit of energy, but 900 billion billion of them
mount up.
The energy equivalent of 1 gram of mass (and remember that a gram, in
ordinary units, is only ¹/₂₈ of an ounce) would keep a 100-watt light
bulb burning for 35,000 years.
[Illustration: ENERGY CREATED compared to MATTER (OR MASS) DESTROYED]
It is this vast difference between the tiny quantity of mass and the
huge amount of energy to which it is equivalent that obscured the
relationship over the years. When a chemical reaction liberates energy,
the mass of the materials undergoing the reaction decreases slightly—but
_very_ slightly.
Suppose, for instance, a gallon of gasoline is burned. The gallon of
gasoline has a mass of 2800 grams and combines with about 10,000 grams
of oxygen to form carbon dioxide and water, yielding 1.35 million
billion ergs. That’s a lot of energy and it will drive an automobile for
some 25 to 30 kilometers. But by Einstein’s equation all that energy is
equivalent to only a little over a millionth of a gram. You start with
12,800 grams of reacting materials and you end with 12,800 grams minus a
millionth of a gram or so that was given off as energy.
No instrument known to the chemists of the 19th century could have
detected so tiny a loss of mass in such a large total. No wonder, then,
that from Lavoisier on, scientists thought that the law of conservation
of mass held exactly.
Radioactive changes gave off much more energy per atom than chemical
changes did, and the percentage loss in mass was correspondingly
greater. The loss of mass in radioactive changes was found to match the
production of energy in just the way Einstein predicted.
Public-domain text, read in full here on John Shaqi.
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