## Error in Boltzmann Equation

Boltzmann Equation for Entropy: $S = k_{B} \ln W$

Ellen Amico 2L
Posts: 101
Joined: Thu Sep 19, 2019 12:16 am

### Error in Boltzmann Equation

I was looking at my lecture notes and in class we discussed that the Boltzmann equation has a small error for S but a large error for w. What does this mean exactly?

Chem_Mod
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### Re: Error in Boltzmann Equation

Since S= kb lnW, what appears to be a small error in S will be a much larger error in W (taking the ln of a value greatly lowers the value)

Daniel Chen 2L
Posts: 101
Joined: Fri Aug 30, 2019 12:15 am

### Re: Error in Boltzmann Equation

Does this mean that making a large error in W, will make a small error in S? How do they correlate with each other?

805291863
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Joined: Sat Sep 14, 2019 12:16 am

### Re: Error in Boltzmann Equation

This means that an error in W will have a small effect on S, helping S be a more accurate measurement of entropy

Amy Xiao 1I
Posts: 101
Joined: Sat Jul 20, 2019 12:15 am

### Re: Error in Boltzmann Equation

What is the significance of having error in either the W or the S?

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