Worlds in the making: The evolution of the universeArrhenius, Svante
Science
Worlds in the making: The evolution of the universe
Arrhenius, Svante
Cosmogony
The extraordinarily high pressure in the interior portions of the
celestial body is striking; this is due to the great mass and to the
small distances. In the centre of the sun the pressure would amount to
8520 million atmospheres, since the pressure increases inversely as the
fourth power of the radius. The pressure near the centre of the sun is,
indeed, almost of that order. If the sun were to expand to a spherical
planetary nebula of a thousand times its actual linear dimensions (when
it would almost fill the orbit of Jupiter), the specific gravity at
its centre would be diminished to one-millionth of the above-mentioned
value—that is to say, matter in this nebula would not, even at the
point of greatest concentration, be any denser than in the highly
rarefied vacuum tubes which we can prepare at ordinary temperatures.
The pressure would likewise be greatly diminished—namely, to about six
millimetres only, near the centre of the gaseous mass. The temperature,
however, would be rather high near the centre—namely, 24,600° C., if
the nebula should consist of atomatic hydrogen, and fifty-six times
as high again if consisting of iron gas. Such a nebula would restrain
gases with 1.63 times the force which the earth exerts. Molecules of
gases moving outward with a velocity of about 18 km. (11 miles) per
second would forever depart from this atmosphere.
The estimation of the temperature in such masses of gases is certainly
somewhat unreliable. We have to presume that neither radiation nor
conduction exert any considerable influence. That might be permitted
for conduction; but we are hardly justified in neglecting radiation.
The temperatures within the interior of the nebula will, therefore, be
lower than our calculated values. It is, however, difficult to make any
definite allowance for this factor.
If the mass of the celestial body should not be as presumed—for
instance, twice as large—we should only have to alter the pressure and
the density of each layer in the same proportion, and thus to double
the above values. The temperature would remain unchanged. We are hence
in a position to picture to ourselves the state of a nebula of whatever
dimensions and mass.
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