Physics education research, electronic materials, and the musings of Christopher Moore, Ph.D.

Entropy : A concept that is not physical quantity
             shufeng-zhang  china
When define heat engine efficiency η as: η= W/ W1 , that is, replacing Q1 in the original definition η=W/ Q1 with W1 , W still is the net work the heat engine applied to the outside in one cycle,W1 is the work the heat engine applied to the outside in the cycle,let the element reversible cycle be Stirling cycle , if ∮dQ/T =0 is tenable,we can prove ∮dW/T =0,∮dE/T =0 !

If ∮dQ/T=0, ∮dW/T=0 and ∮dE/T=0 really define new system state variables, the three state variables are inevitably different from each other; on the other side, their dimensions are the same one, namely J/K, and they are all state variables. So, we have to “make† three different system state variables with same dimensions, and we don’t know what they are, no doubt, this is absurd.

In fact , replaceing ΔQ with dQ is taking for granted, if only we review the definition of differential, we know that the prerequisite of differential is there is a derivability function as y=f(x), however,there is not any function as Q=f(T) here at all, so, ΔQ can not become dQ.
On the other side, when ΔQ→0, lim(ΔQ/T)=0 but not lim(ΔQ/T)= dQ/T.

So, ∮dQ/T=0〠∮dW/T=0 and ∮dE/T=0 are untenable at all !
See paper ：《Entropy : A concept that is not physical quantity》
shufeng-zhang china
http://www.researchgate.net/profile/Shu … l_quantity
http://blog.51xuewen.com/zhangsf/article_27631.htm
Shufeng Zhang (4 comments)
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