Explanation:
According to Boltzmann formula of entropy,
S = K ln(W)
where, S = Entropy
K = Boltzmann constant = [tex]1.381 \times 10^{-23} JK^{-1}[/tex]
W = Number micro-states
This equation is valid if total energy is constant and we are assuming here that the total energy is constant over here.
Let initial [tex]W_{i}[/tex] = 1 then final [tex]W_{f}[/tex] = 0.487
Now, [tex]\Delta S = K (ln W_{f} - ln W_{i})[/tex]
= [tex]1.381 \times 10^{-23} (ln(0.487) - ln(1) )[/tex]
= [tex]1.381 \times 10^{-23} \times (-0.71949) [/tex]
= [tex]-9.936 \times 10^{-24} JK^{-1}[/tex]
