On 9/24/2015 12:33 PM, John Clark wrote:


On Thu, Sep 24, 2015 at 1:24 PM, smitra <[email protected] <mailto:[email protected]>> wrote:

    ​ > ​
    The entropy is the logarithm of this number of states, more
    precisely it is the amount of information that you would need to
    specify in order to point out in which physical state the system
    is actually in


​ Suppose you place a perfect cubic one mole diamond
​ in a large tank of oxygen, if you know the weight of the diamond and the position of just the carbon atom at one corner of the cube then you have all the information needed to know the position of every atom in the cube (assuming you know the chemistry of carbon bonds).
Now fire a LASER at the diamond and heat it up till it starts to burn,

Here you assume that you have only a coarse, macroscopic knowledge of the laser, the laser power source, and the oxygen atoms which is then the source of the entropy increase.

the ​atoms are no longer in a simple lattice but are distributed throughout the tank and 6.02* 10^23
​ times ​
as much information would be needed to specify where all those carbon atoms are, and entropy would have increased.

    ​ > ​
    Now, entropy increase only refers to the increase in the number of
    states that have the same macroscopic properties.


​I don't understand your use of the word "only".​

    ​ > ​
    However, if you ask how many different physical states there are
    that have the same macroscopic properties as the system in the
    final state, then you get a much larger answer


​ Before you burned the diamond only one microstate would produce the same macrostate, after the burn a astronomical number would.​


Sure, but it wasn't a closed system. You added a lot of energy via the laser.

Brent

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