TBR: Entropy Definition

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justadream

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TBR: Entropy and Temp

TBR GC Book II page 140

“Entropy is the reversible heat change of the system (q-reversible) divided by its temperature”



So doesn’t this imply that entropy and temperature are INVERSELY related? I thought that they were directly related (higher temp = more molecular movement = more disorder).

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dS = dQ/T

At higher temperatures, the entropy change will be lower. This is consistent with observation.

The change in entropy when a solid is heated is much greater than when a gas is heated.

That's how I interpret it at least - but I would be interested to hear otherwise.

I think that the entropy of a system (not the change in entropy) is directly related to temperature (as you said), while the change in entropy is different.

This relationship is seen in the equation that S = k(B)lnW where an increasing number of microstates (that is related to increasing temperature) produces a larger value for the entropy of an ideal gas.
 
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