The discussion focuses on the derivation of the entropy formula for an Einstein solid, specifically the transition from S=kln(eq/N)N to S=Nkln(q/N+1). Participants clarify that the term "+1" arises from applying logarithmic rules, specifically kln((eq/N)^N)=Nk(1+ln(q/N)). The conversation emphasizes the importance of using proper parentheses to avoid confusion and accurately represent mathematical expressions. The consensus is that the initial formulation presented is incorrect.
PREREQUISITESStudents and professionals in physics, particularly those studying thermodynamics and statistical mechanics, as well as educators looking to clarify concepts related to entropy and mathematical derivations.
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?
iScience said:there are no more parentheses that's what's in my book. is this even an approximation??