Treatise On Thermodynamics

Cover Treatise On Thermodynamics
Treatise On Thermodynamics
Max Planck
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. 4>', and that no change has been produced in any body outside the system, and let Oi' + $2' + ... + ; 2 + . . . + *, (57) then it is possible, according to the proposition proved in 123, to bring the system by a reversible process, without leaving changes in other bodies, into any other state in which the sum of the entropies is $1' + $2' + . . . + $;, and accordingly into a state in which the first gas has the entropy $1, the second the entropy 2 . > the (n i)th the entropy O n _i, and the ...nib. In consequence the entropy ($1' + $a f + + $') - $1 - #2 - - - $-i (58) The first (n i) gases may now be reduced to their original state by reversible adiabatic processes. The nth gas possesses the entropy (58), which is, according to the supposi- tion (57), smaller than the original entropy 3> TC . The entropy of the nth gas has, therefore, been diminished without leaving changes in other bodies. This we have already proved in the preceding paragraph to be impossible.
94 THERMODYNAMICS.


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