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Updated: May 3, 2025
It was therefore, in all strictness, impossible to calculate the entropy of a solution, and consequently to be certain of the value of the thermodynamic potential. The objection would be serious even to-day, and, in calculations, what is called the paradox of Gibbs would be an obstacle.
Noticing that entropy is a property added to matter, they admit that there is in the world a total amount of entropy; and as all real changes which are produced in any system correspond to an increase of entropy, it may be said that the entropy of the world is continually increasing.
If we keep to the present era, evolution has a fixed direction that which leads to an increase of entropy; and it is possible to enquire, in any given system to what physical manifestations this increase corresponds. We note that kinetic, potential, electrical, and chemical forms of energy have a great tendency to transform themselves into calorific energy.
It must be perfectly understood that this variable can change in an independent manner, and that it is, for instance, distinct from the change of temperature. It is also distinct from the change which consists in losses or gains of heat. In chemical reactions, for example, the entropy increases without the substances borrowing any heat.
It consequently becomes a numerical element characteristic of the body considered, and is called its entropy. Entropy, thus defined, is a variable which, like pressure or volume, might serve concurrently with another variable, such as pressure or volume, to define the state of a body.
We are unable, in fact, to pass by any means, reversible or not, from one to the other, so long as the transmutation of matter is regarded as impossible; but it is well understood that it is nevertheless possible to compare the variations of entropy to which these two bodies are both of them individually subject.
But the sensible signs of the supreme Life according to our faulty perception are temporal and point to an end. The Universe that we perceive is not a perpetuum mobile. The laws of motion that we know all come to a standstill. As the scholars put it: there is increasing entropy and there are irreversible processes. This does not satisfy our inward consciousness of the supreme Life.
When a perfect gas dilates in a vacuum its entropy increases, and yet the temperature does not change, and the gas has neither been able to give nor receive heat. We thus come to conceive that a physical phenomenon cannot be considered known to us if the variation of entropy is not given, as are the variations of temperature and of pressure or the exchanges of heat.
We must not wholly overlook two facts which, to say the least, are difficult to fit in with the idea of the independence and self-sufficiency of the world; these are, on the one hand, the difficulties involved in the idea of an eternal machine, and on the other the difficult fact of “entropy.” We have already compared the world to a mighty clock, or a machine which, as a whole, represents what can never be found in one of its parts, a perpetuum mobile.
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