There are three possible states with a given probability \(\frac{1}{2},\frac{1}{4}\) and \(\frac{1}{8}\) in the thermodynamic system in equilibrium, then the entropy per molecule is
1
\(S=k[ \frac{1}{2} (ln{2})+\frac{1}{4}( ln{2})+\frac{1}{8} (ln{2})]\)
2
\(S=k[ \frac{1}{2} (ln{2})+\frac{1}{2}( ln{2})+\frac{3}{8} (ln{2})]\)
3
\(S=k[ \frac{1}{2} (ln{2})+\frac{1}{4}( ln{2})+\frac{3}{8} (ln{2})]\)
4
\(S=k[ \frac{1}{4} (ln{2})+\frac{1}{4}( ln{2})+\frac{1}{8} (ln{2})]\)
5
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