Physical Significance of Entropy Or of the Second Law

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5o(io~ 24 ) log e (W) =5. 5o(io~ 24 ) loge (No. Of complexions. ) To each of these may be added an arbitrary constant. In Eq. (20) we may substitute directly the equivalent of the product kN found from Eq. (22), and then get for the entropy S of a monatomic gas in the state of thermal equilibrium, (29) When the volume V is known we can now readily find N and then kN numerically, and place this number as a coefficient in Eq. (20). Stepf Determination of the Dimensions of k or of the Entropy S It... is at once evident from an inspection of the perfectly general Eq. (10) that the dimensions of Entropy 5 depend solely on those of the universal constant k. The relation given in Eq. (21) shows at once that dimensions of dS depend upon the quotient found by dividing energy by temperature and the relations given in Eqs. (22) and (25) that the dimensions of constant k also depend on this same quotient. The dimensions of Entropy S and of con- stant k are therefore identical and this might suffice to show that here neither S nor k is to be regarded as a mere ratio or abstract 68 THE PHYSICAL SIGNIFICANCE OF ENTROPY number.

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