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
Now by Dalton’s law, each gas or vapor in a mixture of several behaves
as if it were alone. Thus if the foregoing experiment be conducted in
a bottle containing various gases chemically inert to water, the same
mass of water will be evaporated, and exert the same uniform pressure,
in addition to those exerted by the gases. Now the density of each
gas or vapor present, will equal its mass divided by its volume, and
the density of the mixture will equal the total mass divided by the
volume. Furthermore, it is well known that aqueous vapor is less dense
than dry air at the same temperature and pressure. From this it is at
once evident that moist air, which is merely a mixture of dry air and
aqueous vapor, must be lighter than dry air at the same temperature and
pressure. This is true whether the two fluids compared be in closed
vessels or in the free atmosphere.
Accordingly in all precise dealing with the free air, whether involving
its buoyancy, its resistance, its energy or any other mass function,
its density as affected by the humidity must be taken into account.
This can be computed from the observed pressure, temperature and
relative humidity as revealed by well known instruments, the barometer,
thermometer and hygrometer. Thus from the observed temperature and
relative humidity, the mass of vapor present per cubic meter is read
from Table III, the reader, of course, multiplying the given tabulated
mass by the observed percentage of humidity. To this aqueous mass must
be added the mass of dry air present. Then the total mass per cubic
meter is the density.
Various formulæ are available for computing the density of moist
air from the readings of the three instruments mentioned above.
Also, tables have been worked out giving the density without further
calculation. Moreover, the density of free air may be directly
measured, accurately enough for most purposes, by means of a
densimeter. A simple formula for finding the density of moist air is
as follows:
ρ = 0.465(_b − e_)/_T_
in which _b_, _e_, are the pressures in millimeters mercury
respectively of the moist air and its vapor, as revealed by the
barometer and hygrometer.
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