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is Boltzmann constant, W is the number of microstates
is the probability of a molecule in a given energy level. 
= number of molecules in a energy state, N = total number of molecules
![S = - N k_{B} [p_{1} lnp_{1} + p_{2}lnp_{2} + p_{2}lnp_{2}]](/tpl/images/0221/1218/ed71c.png)
![S = - Nk_{B} [ 0.9009ln0.9009 + 0.09009ln0.09009 + 0.009009ln0.009]\\S== -111000\times 1.38\times10^{-23}[ - 0.9009\times 0.1 - 0.09009\times 2.41 - 0.009009\times 4.71]\\S= 111\times 1.38\times 10^{-20} [ 0.09009 + 0.217+0.04243]\\S= 151.8\times 10^{-20}\times 0.34952\\S=53.06\times 10^{-20} JK^{-1} \\S=5.31\times 10^{-19} JK^{-1}](/tpl/images/0221/1218/31925.png)
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Asystem that has 100,000 molecules at energy level 1; 10,000 molecules at energy level 2, and 1000...
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