We have just seen that the pressure produced by a column of granite 1
mile high would be 6050 lb. per square inch, consequently one of double
the height, or 2 miles, would exert a pressure of 12,100 lb. per square
inch at its base, equal to the crushing strain of the very strongest
granite we know, while at the same time that strain would not amount to
one-sixth of 4827 atmospheres; so that if the gases in the hollow of
the earth were at a pressure of only 800 atmospheres, their pressures
would be able to crush granite of that class to pieces, and therefore
the estimate of specific gravity of 3 for the density of the interior
surface--which we made at the beginning of our calculations for the
hollow sphere--cannot be looked upon as by any means exaggerated.
We might now reform our calculations of the two halves of the interior
of the earth, giving a more rational and curve-like form to the
densities, under the supposition that at much less distance than 234
miles from the surface, matter might be compressed to its utmost limit;
but as, according to our demonstration, the solid matter of the earth
must have been divided into two equal parts at the place where the
greatest mass was, long before it could have been condensed into a
state to compress gases; and as the total mass of solid matter must,
in order to make up the total mass of the earth, depend to some extent
on the mass of imprisoned gases; we are unable to make any reform much
different to what our calculations show. Besides, as the difference
between average densities of 5·66 and 5·67 makes a difference of
2,600,000,000 cubic miles on the mass of the earth reduced to the
density of water, very approximate accuracy cannot be attained in any
calculations.
What is meant by a limit to density except in so far as it is combined
with heat, is that whatever density may be given to matter by
compression when it is in a heated state, a greater density will be
found in it when it is deprived of that heat; that whatever may be the
density of any part of the interior of the earth in its present state,
that density will be increased when the earth becomes cooled down to
the temperature derived from the heat of the sun, or to absolute zero
of temperature, if such there be, on account of shrinking in cooling;
and that therefore there can be no absolute limit to density as long as
there is any heat in matter.
It may not be unnecessary for us to recognise now that the weight of a
column of granite would decrease as the depth increased, for the force
of gravitation would be diminished by having a part of the attraction
of the earth above instead of below it; but at 100 miles in depth the
diminution would be only about one-eighth--if distance is taken into
account--of the 817 miles down to the plane of greatest density, and
1/2200th part if the mass left above is considered; differences that
would make extremely little alteration on our calculations.
Public-domain text, read in full here on John Shaqi.
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