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    entropy S can be most generally defined as:

     S=-K_{b}\sum{P_{i}ln(P_{i})}
    where kB = 1.38065×10−23 J K−1 is the Boltzmann constant, the summation is over all the microstates the system can be in, and the Pi are the probabilities for the system to be in the ith microstate

    my question is how do you derive for the special case when P is constant, the equation:

     S= K_{b}ln(N)
    where N is the number of molecules

    I get as far as:

    S=-K_{b}PNln(P)

    where P is some constant value of the probability
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    If there are N states all with equal probability, then P=1/N
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    (Original post by Stonebridge)
    If there are N states all with equal probability, then P=1/N
    ah yes
    *feels stupid*

    thanks!
 
 
 
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