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No, we aren't taking differeent lessons from stat. mech. - your understanding of thermodyanmics is flawed (there are no two views here - this is physics).

S = k ln W is an entropy model for an ideal gas with uncorrelated particle motions and inelastic collisions. It doesn't explain the "entropy" of a real system.

There is no precise way to measure S for any real fluid whatsoever. S, at a microscopic level, isn't even well defined (disorder? - but that's just an interpretation for S, not a definiton). Phase diagrams only allow you to measure changes in S - and that's only because (assuming reversibility), delta(S) can be explained with change in pressure and temperatures (both are aggregate variables). And when a process is irreversible (which most real-world processes are),the only thing you can say is that the change in S would be greater than what you can compute using T, P, heat transferred and work done.

Raw data to calculate C, I, G and Y are freely available for public use at : http://www.nber.org/data/ . The accounting framework on which the above measurements are based is described here: http://unstats.un.org/unsd/nationalaccount/docs/SNA2008.pdf (individual nations implement their accounting frameworks, as the NBER does for the US, according to the guidelines above).




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