By determining the density of a gas at a given temperature and under
a given pressure, we can find by the statistical method the average
speed of its molecules. It depends on the most probable distribution
of their energy. For hydrogen at the temperature of melting ice, and
under atmospheric pressure, this speed proves to be a little over a
mile a second—a speed, curiously enough, which is to that of light
almost exactly as centimetres to miles. But some of the molecules are
going at speeds much above the mean; fewer and fewer as the speed
gets higher. Just how many there are for any assigned speed, we can
calculate by the same ingenious application of unknown quantities.
[Illustration: DISTRIBUTION OF MOLECULAR VELOCITIES IN A GAS.]
These speeds have been found for a temperature of freezing, and as
the speed varies as the square root of the absolute temperature, we
might suppose that when an adventurous or lucky molecule arrived at
practically the limit of the atmosphere, where the cold is intense, it
would become numbly sluggish. But let us consider this. When we enclose
a gas in a cooler vessel, the molecules bombard the sides more than
they are bombarded back. In consequence, they lose energy; as we say,
are cooled. But in free air if a molecule be fortunate enough to elude
its neighbors, there is nothing to take away its motion but the ether
through radiation, and this is a very slow process. Thus the escaping
fugitive must arrive at the confines of the air with the speed it had
at its last encounter. We reach, then, this result: In space there is
no such thing as temperature; temperature being simply the aggregate
effect of molecular temperament. The reason we should consider it
uncommonly cold up there is that fewer molecules would strike us.
Quantity, therefore, in our estimation replaces quality,—a possible
substitution which also accounts for some reputations, literary or
otherwise. The only forces which could affect this lonely molecule
would be the heating by the Sun, the repellent force of light, and
gravity.
Now the speed which gravity on the Earth can control is 6.9 miles a
second. It can impart this to a body falling freely to it from infinite
space, and can therefore annul it on the way up, and no more. If, then,
any of the molecules reach the outer boundary of the air going at more
than this speed, they will pass beyond the Earth’s power to restrain.
They will become little rovers in space on their own account, and dart
off on interstellar travels of their own. This extension of the kinetic
theory and of the consequent voyages of the molecules is due to Dr.
Johnstone Stoney, who has since, humorously enough, tried to stop the
very balls he set rolling. First thoughts are usually the best, after
all.
Public-domain text, read in full here on John Shaqi.
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