The reverse is also impossible. For then we need merely couple the
engines in the reverse way in order to obtain the same effect.
Therefore, since B can do neither less nor more work than A, the two
must do the same amount of work--which was to be proved.
It is obvious that this process of proof is similar to that by which the
law of conservation was established. Because the arbitrary creation of
energy from nothing is impossible there must be definite and immutable
relations of change between the forms of energy. Because energy at rest
does not spontaneously pass into conditions in which it can do work,
the efficiencies of the machines must have definite and unchangeable
values. If, for example, we could cause heat of its own accord to rise
to a higher temperature, we could also construct a perpetual motion
machine which would always yield work at no expense. But this perpetual
motion would not be one that creates work out of nothing, but one that
extracts it from energy at rest. A perpetual motion machine of this
nature, too, is, according to our experience, impossible, and this
impossibility forms the content of the second fundamental principle.
On the face of it this apparently "self-evident" proposition does not
reveal how fruitful of results it is when applied to the discovery of
simple but not obvious relations. It can only be said here that the
deductions from this principle form the chief content of the extensive
science of thermodynamics, which deals with the changes of heat into
other forms of energy. We must only emphasize the fact that the
application of this law, as was already observed in stating it, is not
confined to the changes of heat alone. It is a law rather which finds
application in _all_ the forms of energy. For in every form of energy
there is a property which corresponds to temperature in heat, and upon
the equality or the inequality of which depends whether the energy in
question is at rest or ready for transformations. This property is
called the _intensity_ of the energy. In work, for instance, it is
_force_, in volume-energy it is _pressure_. If once the intensity in a
body is equal, its energy is at rest, and it never again moves of its
own accord.
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