Worlds in the making: The evolution of the universeArrhenius, Svante
Science
Worlds in the making: The evolution of the universe
Arrhenius, Svante
Cosmogony
Ritter and Lane have made some interesting calculations on the
equilibrium in a gaseous celestial body of so low a density that the
law of gases may be applied to it. That is only permissive for gases
or for mixtures of gases whose density does not exceed one-tenth of
that of water or one-fourteenth of the actual density of the sun.
The pressure in the central portions of such a mass of gas would,
of course, be greater than the pressure in the outer portions, just
as the pressure rises as we penetrate from above downward into our
terrestrial atmosphere. If we imagine a mass of the air of our
atmosphere transferred one thousand metres higher up, its volume will
increase and its temperature will fall by 9.8° C. (18° F.). If there
were extremely violent vertical convection currents in the air, its
temperature would diminish in this manner with increasing altitude; but
internal radiation tends to equalize these temperature differences.
The following calculation by Schuster concerning the conditions of a
mass of gas of the size of the sun is based on Ritter’s investigation.
It has been made under the hypothesis that the thermal properties of
this mass of gas are influenced only by the movements in it, and not by
radiation. The calculation is applied to a star which has the same mass
as the sun (1.9 × 10^{33} grammes, or 324,000 times the mass of the
earth), and a radius of about ten times that of the sun (10 × 690,000
km.), whose mean density would thus be 1000 times smaller than that of
the sun, or 0.0014 times the density of water at 4° C. In the following
table the first column gives the distance of a point from the centre
of the star as a fraction of its radius; the density (second column)
is expressed in the usual scale, water being the unit; pressures
are stated in thousands of atmospheres, temperatures in thousands
of degrees Centigrade. The temperature will vary proportionately
to the molecular weight of the gas of which the star consists; the
temperatures, in the fourth column of the table, concern a gas of
molecular weight 1—that is to say, hydrogen gas dissociated into
atoms, as it will be undoubtedly on the sun and on the star. If the
star should consist of iron, we should have to multiply these latter
numbers by 56, the molecular weight of iron; the corresponding figures
will be found in the fifth column.
Temperature in
Distance from Density Pressure in 10^3 10^3° Cent.
centre atmospheres Hydrogen Iron
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