PRIMAEVAL CHAOS. These general theoretical results may now be applied
to any mass of gas we please. Let us begin by applying them to Newton’s
hypothetical “matter evenly disposed throughout an infinite space.” We
return in imagination to a time when all the substance of the present
stars and nebulae was spread uniformly throughout space; in brief, we
start from the primaeval chaos from which most scientific theories
of cosmogony have started. Hubble has estimated that if the whole of
the matter in those parts of the universe we know were redistributed
evenly throughout space, the gas so formed would have only about 1·5 ×
10⁻³¹ times the density of water. This estimate is almost certainly on
the low side, even as representing present conditions, and in trying
to reconstruct the primaeval gas we must add something to allow for
the molecules and atoms which have melted away into radiation in the
intervening period. On the whole, perhaps 10⁻³⁰ is not an unreasonable
density to assign to the hypothetical primaeval nebula. It is almost
inconceivably low. In ordinary air, at a density of one eight-hundredth
that of water, the average distance between adjoining molecules is
about an eight-millionth part of an inch; in the primaeval gas we are
now considering, the corresponding distance is two or three yards. The
contrast again leads back to the theme of the extreme emptiness of
space.
What is the minimum weight of condensation that would persist in this
primaeval gas?
Calculation shews that if ordinary air were attenuated to this
extraordinary degree, no condensation could persist and continue to
grow unless it had at least 62½ million times the weight of the sun;
any smaller weight of gas would exert so slight a gravitational pull
on its outermost molecules, that their normal molecular speeds of
500 yards a second would lead to the prompt dissipation of the whole
condensation.
We can carry out similar calculations with reference to other assumed
densities of gas, and other molecular velocities. The following table
shews the weights of condensations which would be formed in primaeval
masses of chaotic gas having the densities shewn in the first column,
and the various molecular velocities mentioned at the heads of the
remaining columns. In each case the weights of the condensations are
given in terms of the weight of the sun:
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