Aërial Navigation: A Popular Treatise on the Growth of Air Craft and on Aëronautical MeteorologyZahm, Albert Francis
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Aërial Navigation: A Popular Treatise on the Growth of Air Craft and on Aëronautical Meteorology
Zahm, Albert Francis
Aeronautics; Meteorology
A glance at this table shows that for the pressures and temperatures
prevailing in our atmosphere most of the constituents are permanent
gases. The conspicuous exception is water which, when in the gaseous
state, always exists as a vapor, and never as a permanent gas, since
it never even approaches the critical temperature. Fortunately for all
life on earth the aqueous vapor condenses at very ordinary temperatures
and pressures, else there would be no rainfall for irrigation and
drinking. Fortunately also the other gases do not so precipitate, else
the world might be flooded with liquid nitrogen and oxygen, entailing
who knows what disastrous consequences.
After this digression on the composition of the atmosphere, we may
henceforth regard the aërial ocean as a mixture of two substances,
dry air and water; the first, a permanent gas; the second, a
variable element, existing at times in either the solid, liquid, or
vaporous state. For the sake of convenience we may first study the
dry atmosphere, then the moist. The dynamic properties of the dry
atmosphere may in large measure be deduced by an application of two
well-established laws of physics. These will be taken in order.
By careful investigation it has been proved that throughout a
considerable range of pressure and temperature the permanent gases
very approximately obey the following law; the volume of a permanent
gas varies directly as its absolute temperature and inversely as its
pressure. In other words the product of its pressure and volume equals
the absolute temperature multiplied by a numerical constant. This may
be expressed algebraically by the following formula:
_PV_ = _RT_ (1)
in which _P_ is the pressure and _V_ the volume of a given portion of
gas at the absolute temperature _T_, and _R_ is a numerical constant
for the gas in question.
The value of _R_ in the foregoing equation has been determined
experimentally for the component gases of the atmosphere, and for dry
air as a whole. For dry air, which, under such conditions as surround
the aëronaut, may be treated as a single uniform gas, the equation
applied to one kilogram gives R = _PoVo/To_ = 29.27, where _Po_, _Vo_,
_To_, are respectively the pressure, volume and temperature, in the
metric system, of the one kilogram of air under standard conditions;
i. e., _Po_ = 10,330 kilograms per square meter, being the normal
atmospheric pressure; _Vo_ = 1/1.293 cubic meter, being the volume of
one kilogram of dry air at normal pressure and freezing temperature;
_To_ = 273° C., being the absolute temperature of freezing. In passing,
be it said that the absolute temperature is that measured from the
absolute zero, which on the Centigrade scale is 273° below freezing, on
the Fahrenheit, 460.6° below freezing.
Public-domain text, read in full here on John Shaqi.
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