Boltzmann Equation for Entropy:
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This is referring to when there is only one state/position available to the molecule(s). If there is only 1 position, then W (degeneracy)= 1number of molecules, and 1 raised to any power is still 1, then the ln(1)=0 so if S= kBln(W) then S=0. This tells us that the molecule or molecules do not possess any residual, or positional, entropy.
That means that the system can only be oriented in one way meaning that it only has one energy state or degeneracy value of 1. And when utilizing S=KBlnW assuming there is only residual energy involved that would give you an entropy value of 0.
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