The Energy System of Matter: A Deduction from Terrestrial Energy PhenomenaWeir, James, active 1883-1912
Science
The Energy System of Matter: A Deduction from Terrestrial Energy Phenomena
Weir, James, active 1883-1912
Force and energy
Each of the gases, then, if separately associated with the planetary
body, would form an atmosphere around it depending in height on the
peculiar energy properties of the gas. A point to be observed is that
the actual or total mass of any gas thus liberated at the planet's
surface has no bearing on the ultimate height of the atmosphere which it
would constitute. When the expansive motion is completed, the density
properties of the atmosphere would of course depend on the initial mass
of gas liberated, but for any given value of gravity it is the energy
properties of the gas per unit mass, or what might be termed its
specific energy properties, which really determine the height of its
atmosphere.
37. _Reactions of Composite Atmosphere_
It is now possible to deal with the case in which not only one gas but
several gases are initially liberated on the planetary surface. Since
the gases are different, then at the given surface temperature of the
planet they possess different amounts of heat energy, and for each gas
considered statically, the temperature-altitude gradient will be
different from any of the others. The limiting height of the gaseous
column for each gas, considered separately, will also depend on the
total energy of that gas per unit mass, at the surface temperature. But
it is evident that in a composite atmosphere, the separate statical
conditions of several gases could not be maintained. In such a mixture,
separate temperature-altitude gradients would be impossible. Absolute
zero of temperature could clearly not be attained at more than one
altitude, and it is evident that the temperature-altitude gradient of
the mixture must, in some way, settle down to a definite value, and
absolute zero of temperature must occur at some determinate height. This
can only be brought about by energy exchanges and reactions between the
atmospheric constituents. When these reactions have taken place, the
atmosphere as a whole will have attained a condition analogous to that
of statical equilibrium (§ 34). Each of its constituents, however, will
have decidedly departed from this latter condition. In the course of the
mutual energy reactions, some will lose a portion of their energy.
Others will gain at their expense. All are in equilibrium as
constituents of the composite atmosphere, but none approach the
condition of statical equilibrium peculiar to an atmosphere composed of
one gas only (§ 35). The precise energy operations which would thus take
place in any composite atmosphere would of course depend in nature and
extent on the physical properties of the reacting constituents. If the
latter were closely alike in general properties, the energy changes are
likely to be small. A strong divergence in energy properties will give
rise to more powerful reactions. A concrete instance will perhaps make
this more clear. Let it be assumed in the first place that the planetary
atmosphere is composed of the two gases oxygen and nitrogen. From
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