Thermodynamics: Einstein solid (simple step in derivation)

Click For Summary

Homework Help Overview

The discussion revolves around the derivation of the entropy formula for an Einstein solid in thermodynamics. Participants are examining the transformation of the equation involving the logarithm and the constants related to energy and particle number.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are questioning the origin of the "+1" in the logarithmic expression and whether the transformation is an approximation. There is also a focus on the correct application of logarithmic rules and the need for clarity in notation.

Discussion Status

The discussion is ongoing, with participants expressing confusion about the derivation and correctness of the formula. Some guidance on using logarithmic rules has been suggested, but there is no consensus on the validity of the original expression.

Contextual Notes

Participants reference a textbook for the formula, indicating potential discrepancies between the text and their understanding. There is uncertainty about whether the expression represents an approximation or an exact formulation.

iScience
Messages
466
Reaction score
5
S=kln(\frac{eq}{N})N --->= S=Nkln(\frac{q}{N}+1)

i understand that the e goes away and the N exponent comes down but where does the +1 come from?
 
Physics news on Phys.org
iScience said:
S=kln(\frac{eq}{N})N --->= S=Nkln(\frac{q}{N}+1)

i understand that the e goes away and the N exponent comes down but where does the +1 come from?

That's not even right. kln((eq/N)^N)=Nk(1+ln(q/N)). Use more parentheses to show what you really mean. Just use rules of logarithms, and show how you are using them.
 
there are no more parentheses that's what's in my book. is this even an approximation??
 
iScience said:
there are no more parentheses that's what's in my book. is this even an approximation??

No, I think it's just wrong.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
1K
Replies
2
Views
2K
Replies
4
Views
5K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
1
Views
2K
Replies
4
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
19
Views
3K
Replies
1
Views
1K
Replies
5
Views
2K