On the surface of the earth the sunlight has had to pass through the
atmosphere, and in perfectly bright sunshine it is estimated that only
three-fifths of the heat is transmitted. Any surface is also radiating
out into surroundings which are at about 300° absolute. Taking into
account these two facts, we find that the upper limit to a
non-conducting surface in full sunshine on the earth is about 365°
absolute, or only a few degrees less than the boiling point of water.
+Effective Temperature of Space.+--The last problem we will attack by
means of the fourth power law is the estimation of the effective
temperature of space, _i.e._ the temperature of a full absorber
shielded from the sun and far away from any planet.
It is estimated by experiment that zenith sun radiation is five million
times the radiation from the stars. This estimate is only very rough,
as the radiation from the stars is so minute. As the sun only occupies
one 94,000th part of the heavens, the radiation from a sunbright
hemisphere would be five million times 94,000 times starlight, _i.e._
470,000,000,000 times. The temperature of the sun is therefore the
fourth root of this quantity times the effective temperature of space,
_i.e._ about 700 times. Since the temperature of the sun is about
6200°, the temperature of space is a little under 10° absolute; _i.e._
lower than -263° C.
{56}
+Note on Absolute Temperature.+--It is found that, if a gas such as air
has its temperature raised or lowered while its pressure is kept
uniform, for every one degree centigrade rise or fall its volume is
increased or decreased by one two hundred and seventy-third of its
volume at freezing point, _i.e._ at 0° centigrade. If therefore it
continued in the same way right down to -273° centigrade, its volume
would be reduced to zero at this temperature. This temperature is
therefore called the absolute zero of temperature, and temperatures
reckoned from it are called absolute temperatures. To get absolute
temperatures from centigrade temperatures we evidently need to add 273°.
{57}
CHAPTER VI
THE TRANSFORMATION OF ABSORBED RADIATION
No account of radiation would be complete without mentioning what
becomes of the radiation which bodies absorb, but a good deal of the
subject is in so uncertain a state that very little space will be
devoted to it.
Public-domain text, read in full here on John Shaqi.
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