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117 ENERGY AND THE INDUSTRIAL AGE<br />

Others are more optimistic. In an excellent article on the<br />

energy of the universe, Freeman Dyson has written:<br />

It is conceivable however that life may have a larger role<br />

to play than we have yet imagined. Life may succeed<br />

against all of the odds in molding the universe to its own<br />

purpose. And the design of the inanimate universe may<br />

not be as detached from the potentialities of life and intelligence<br />

as scientists of the twentieth century have tended<br />

to suppose.15<br />

In spite of the important progress made by Hawking and others,<br />

our knowledge of large-scale transformations in our universe<br />

remains inadequate.<br />

The Birth of Entropy<br />

In 1865, it was Clausius' turn to make the leap from technology<br />

to cosmology. At the outset he merely reformulated his<br />

earlier conclusions, but in doing so he introduced a new concept,<br />

entropy. His first goal was to distinguish clearly between<br />

the concepts of conservation and of reversibility. Unlike mechanical<br />

transformations, where reversibility and conservation<br />

coincide, a physicochemical transformation may conserve energy<br />

even though it cannot be reversed. This is true, for instance,<br />

in the case of friction, in which motion is converted<br />

into heat, or in the case of heat conduction as it was described<br />

by Fourier.<br />

We are already familiar with energy, which is a function of<br />

the state of a system-that is, a function dependent only on<br />

the value of the parameters (pressure, volume, temperature)<br />

by which that state may be defined.t6 But we must go beyond<br />

the principle of energy conservation and find a way to express<br />

the distinction between "useful" exchanges of energy in the<br />

Carnot cycle and "dissipated" energy that is irreversibly<br />

wasted.<br />

This is precisely the role of Clausius' new function, entropy,<br />

generally denoted by S.<br />

Apparently Clausius merely wished to express in a new form

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