Residual Molar Entropy?

[Sophia Bozone 2G]

Question 9.25 asks about the residual molar entropy of a disordered crystal, and I'm not quite sure what it's asking or how to go about answering the problem.

[Jessica Yang 1J]

Residual molar entropy is the entropy that still exists due to positional disorder at T=0, because at T=0, there should hypothetically be no entropy if the molecule is a crystal, as seen by the third law of thermodynamics.

I drew the different orientations of SO2F2, with S being the central atom because it is the least electronegative and positioned the surrounding four atoms in different ways around it to find the number of different microstates, which is W.

[Kaelie Blanes-Ronda 2L]

There are 6 different possible configurations for SO2F2 so the degeneracy (W) is equal to 6.
So all you have to do is make S=kln[6^(6.02x10^-23)] with k being Boltzmann's constant.

[andrewr2H]

Residual entropy refers to the entropy that exists at T = 0 K. Residual entropy results from the different micro states that exist because of the different orientations a molecule may have.