## Statistical and residual entropy

Volume: $\Delta S = nR\ln \frac{V_{2}}{V_{1}}$
Temperature: $\Delta S = nC\ln \frac{T_{2}}{T_{1}}$

Kate_Santoso_4F
Posts: 72
Joined: Fri Sep 28, 2018 12:29 am

### Statistical and residual entropy

Can someone please explain what the difference is between statistical and residual entropy and if it is just dependent on the number of microstates?

Chem_Mod
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### Re: Statistical and residual entropy

They are basically the same! They are due to structural or positional disorder only. yes it has to do with the microstates a molecule can have.

Dimitri Speron 1C
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### Re: Statistical and residual entropy

Statistical entropy is the total amount of entropy for the given amount of micro states, whereas residual entropy is a specific entropy that is left after most of the thermal energy of the system is gone. (i.e. the temp approaches 0K)

Sarah Kiamanesh 1D
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Joined: Fri Sep 28, 2018 12:22 am

### Re: Statistical and residual entropy

Statistical entropy is what is deduced after using Boltzmann's Formula: S = klnW
Residual entropy, however, is the entropy of a system after it has been cooled to 0K. In a perfect crystal structure, there would be no residual entropy, but distortions in structure contributes to this.