THE GASEOUS STATE. The molecules which break loose from the surface
of the water as it evaporates form a gas—water-vapour or steam. A
gas consists of a vast number of molecules which fly about entirely
independently of one another, except at the rare instants at which two
collide, and so interfere with each other’s motion. The extent to which
the molecules interfere with one another must obviously depend on their
sizes; the larger they are, the more frequent their collisions will be,
and the more they will interfere with one another’s motion. Actually
the extent of this interference provides the best means of estimating
the sizes of molecules. They prove to be exceedingly small, being for
the most part about a hundred-millionth of an inch in diameter, and,
as a general rule, the simpler molecules have the smaller diameters,
as we should expect. The molecule of water has a diameter of 1·8
hundred-millionths of an inch (4·6 × 10⁻⁸ cms.), while that of the
simpler hydrogen molecule is only just over a hundred-millionth of
an inch (2·7 × 10⁻⁸ cms.). The fact that a number of different lines
of investigation all attribute the same diameters to these molecules
provides an excellent proof of the reality of their existence.
As molecules are so exceedingly small, they must also be exceedingly
numerous. A pint of water contains 1·89 × 10⁴⁵ molecules, each weighing
1·06 × 10⁻² ounces. If these molecules were placed end to end, they
would form a chain capable of encircling the earth over 200 million
times. If they were scattered over the whole land surface of the earth,
there would be nearly 100 million molecules to every square inch of
land. If we think of the molecules as tiny seeds, the total amount of
seed needed to sow the whole earth at the rate of 100 million molecules
to the square inch could be put into a pint pot.
These molecules move with very high speeds; in the ordinary air of
an ordinary room, the average molecular speed is about 500 yards a
second. This is roughly the speed of a rifle-bullet, and is rather more
than the ordinary speed of sound. As we are familiar with this latter
speed from everyday experience, it is easy to form some conception of
molecular speeds in a gas. It is not a mere accident that molecular
speeds are comparable with the speed of sound. Sound is a disturbance
which one molecule passes on to another when it collides with it,
rather like relays of messengers passing a message on to one another,
or Greek torch-bearers handing on their lights. Between collisions the
message is carried forward at exactly the speed at which the molecules
travel. If these all travelled with precisely the same speed and in
precisely the same direction, the sound would of course travel with
just the speed of the molecules. But many of them travel on oblique
courses, so that although the average speed of individual molecules in
ordinary air is about 500 yards a second, the net forward velocity of
the sound is only about 370 yards a second.
Public-domain text, read in full here on John Shaqi.
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