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::::::::: I don't have any reason to doubt your formulas for entropy, and thanks for posting them.  But for the purposes of the Second Law the dictionary definition for entropy works fine:  a measure of disorder in a system.  It's always increasing unless there is some kind of intelligent intervention, like [[God]] creating the world.  Perhaps [[faith]] can operate to reduce entropy.  Otherwise, without intervention or faith, disorder is always increasing, and the Second Law is an expressing of that logical truth.  Otherwise a [[perpetual motion machine]] would be possible, and it is isn't.
 
::::::::: I don't have any reason to doubt your formulas for entropy, and thanks for posting them.  But for the purposes of the Second Law the dictionary definition for entropy works fine:  a measure of disorder in a system.  It's always increasing unless there is some kind of intelligent intervention, like [[God]] creating the world.  Perhaps [[faith]] can operate to reduce entropy.  Otherwise, without intervention or faith, disorder is always increasing, and the Second Law is an expressing of that logical truth.  Otherwise a [[perpetual motion machine]] would be possible, and it is isn't.
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:::::::::: Considering we're talking about physics the definition used by physicists should take precedent. But fine, often "a measure of disorder in a system" is used to define entropy for the layman. However, under this definition the entropy ''still'' increases when ice melt since the structure becomes less ordered. --[[User:MatthewQ|MatthewQ]] 23:15, 13 June 2012 (EDT)
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