A century of science in America : $b with special reference to the American Journal of Science, 1818-1918
History
A century of science in America : $b with special reference to the American Journal of Science, 1818-1918
American journal of science; Science -- United States -- History
By the first term, is meant the parts of any system of substances which
are mechanically separable. For instance, water in contact with its
vapor has two phases, while a solution of salt and water is composed of
but one. The degrees of freedom are the number of physical conditions,
including pressure, temperature and concentration, which can be varied
independently in a system without destroying a phase. The exact
definition of a component is not so simple, but in general, the
components of a system are the integral parts of which it is composed.
Any system made up of the compound H_{2}O, for instance, whether as ice,
water or vapor, contains but one component, while a solution of salt and
water contains two. Letting P, F, and C stand for the three terms, the
phase-rule is simply
F = C + 2 − P
that is, the number of degrees of freedom in a system in equilibrium
equals the number of components, plus two, minus the number of phases.
The rule can be easily understood by means of a simple illustration. In
a system composed of ice, water and water vapor, there are three phases
and one component and therefore
F = 1 + 2 − 3 = 0
Such a system has no degrees of freedom. This means that no physical
condition, pressure or temperature can be varied without destroying a
phase, so that such a system can only exist in equilibrium at one fixed
temperature, with a fixed value for its vapor-pressure.
[Illustration: J. William Gibbs]
For instance, if the system is heated above the fixed temperature, ice
disappears and if the pressure is raised, vapor is condensed. If this
same system of water alone contains but two phases, for instance, liquid
and vapor, F = 1 + 2 − 2 = 1, or there is one degree of freedom. In such
a system, one physical condition such as temperature can be varied
independently, but only one, without destroying a phase. For instance,
the temperature may be raised or lowered, but for every value of
temperature there is a corresponding value for the vapor-pressure. One
is a function of the other. If both values are varied independently, one
phase will disappear, either vapor condensing entirely to water or the
reverse. Finally if the system consists of one phase only, as water
vapor, F = 2, or the system is divariant, which means that at any given
temperature it is possible for vapor to exist at varying pressures.
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