The statistical interpretation of entropy can be determined by arriving at the connecting link between statistical and classical thermodynamics. "From a statistical point of view, the entropy of a system consisting of a very large number of particles is proportional to the natural logarithm of the total number of microstates available to the system." In your own way, prove that the only function that satisfies the condition that entropies are additive while thermodynamic probabilities are multiplicative is the logarithm. (That is, show that S = kg In Q.)

The statistical interpretation of entropy can be determined by arriving at the connecting link between statistical and classical thermodynamics. "From a statistical point of view, the entropy of a system consisting of a very large number of particles is proportional to the natural logarithm of the total number of microstates available to the system." In your own way, prove that the only function that satisfies the condition that entropies are additive while thermodynamic probabilities are multiplicative is the logarithm. (That is, show that S = kg In Q.)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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