The law of Avogadro is, that "Equal volumes of gases and vapours
contain the same numbers of molecules, and consequently that the
relative weights of these molecules are proportioned to the densities."
Therefore we must always bear in mind that it is the _weights_, not
the _volumes_, which are equal, and that the volumes may be very
different. On this earth of ours, then, we may say with certainty that
an atmosphere of gas is composed of a definite number of its special
kind of molecules, mixed with a definite quantity of the ether, in
such proportion that the sum of their densities shall be equal to the
density of the air, at atmospheric pressure at sea level, and at 0°
of temperature. Holding this belief, we can see that each molecule,
or rather atom, of each gas must have its own amount of displacement
to enable it to float in the ether with which it is mixed. This would
account in the most satisfactory manner for the diffusion of gases,
whereby any molecule, or atom, may float wherever it is driven by
collisions with its neighbours, be it above, or below, or on a level
with, a molecule of a lighter or heavier gas. Therefore, were it
possible to determine with sufficient accuracy the dimensions of the
atoms of all gases, perhaps even of a limited number of them, it would
be possible to calculate the real density, or specific gravity, of the
ether.
We have not forgotten that when, by pumping, the ether was reduced to
at least one-fourth of its normal density, its buoyant power would be
reduced in the same proportion, nor that, when in a state of rest, the
displacement of a molecule, which enabled it to float in the ether,
would not be sufficient to make it float at one-fourth of that density;
but it might be supposed that when so far relieved from pressure, the
molecule could expand in proportion to the relief, especially if its
form were that of a vortex ring, or of a hollow sphere. However, should
this supposition not be admissible, we shall see presently that it is
not necessary. We know that as long as any degree of heat remains in
a gas collisions of its molecules will continue, dependent on their
attraction for each other, which may drive them to any part of the
containing vessel; and that it can only be when they are cooled down
to the absolute zero of temperature that they can come to be at rest.
But as we believe that the ether can never be reduced to this absolute
absence of temperature, nor completely extracted from any vessel, we
cannot acknowledge that the molecules of any gas, left along with it in
the vessel, could ever come to be absolutely at rest, even although the
molecules did not increase in volume with the diminution of pressure.
And we think this conclusion will agree with the opinion of Professor
Tait, expressed in the quotation, made at page 232, from his work on
"Heat," where he says: "In fact, if the kinetic gas theory be true, a
gas whose volume is immensely increased, cannot in any strict sense be
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