Worlds in the making: The evolution of the universeArrhenius, Svante
Science
Worlds in the making: The evolution of the universe
Arrhenius, Svante
Cosmogony
these occasions evidently have a higher temperature, and this is not
unnatural, since the sun is losing heat by radiation from its outer
portions.
We know that the temperature of our atmosphere decreases with greater
heights. The movements of the air are concerned in this change. A
sinking mass of air is compressed by the increased pressure to which
it is being exposed, and its temperature rises, therefore, just as
the temperature rises in a pneumatic gas-lighter when the piston is
pressed down. If the air were dry and in strong vertical motion, its
temperature would change by 10° Cent. (18° F.) per km. If it stood
still, it would assume an almost uniform temperature; that is to say,
there would be no lowering of the temperature as we proceed upward. The
actual value lies between the two extremes. As the gravitation in the
photosphere of the sun is 27.4 times greater than on the surface of the
earth, we can deduce that, if the air on the sun were as dense as on
the earth, the temperature on the sun would vary 27.4 times as much as
on the earth with the increasing height—that is to say, by 270 degrees
per kilometre, provided its atmosphere were in violent agitation. Now,
the outer portions of the solar atmosphere are, indeed, in violent
motion, so that this latter assumption seems to be justified. But
this part consists essentially of hydrogen, which is 29 times lighter
than the air. We must, therefore, reduce the value at which we arrive
to one-twenty-ninth. As a result, the final temperature gradient per
kilometre would only be 9° Cent. (16.2° F.). But the radiation is
extremely powerful on the sun, and it tends to equalize the conditions.
Nine degrees per kilometre is therefore, without doubt, too high a
value. Further, in the interior of the sun the gases are much heavier.
At a small depth, however, they will be so strongly compressed by the
upper strata that their further compressibility will be limited, and
the calculation which we have just made loses its validity. Yet, in any
case, the temperature of the sun must increase as we penetrate nearer
to its centre. If we accept a temperature gradient per kilometre of
the value above indicated, 9°—it is three times greater in the solid
earth-crust—we should obtain for the centre of the sun a temperature
of more than six million degrees.
Public-domain text, read in full here on John Shaqi.
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