# Statistical and thermodynamic defintion of entropy

1. Feb 19, 2012

### jd12345

How are both statistical and thermodynamic defintion of entropy equivalent?
THe statistical definition i.e. S = k ln ω amkes sense to me. It is the number of mcirostates an atom/moelcule can take over but how is the thermodynamic definition i.e. ΔS = q/T equivalent to it?

http://www4.ncsu.edu/unity/lockers/users/f/felder/public/kenny/papers/entropy.html

this site explains entropy but i dont understand the last paragraph about it. Is temperature defined in such a way that the thermodynamic definition of entropy becomes correct?
it makes me feel as if temperature is specifically defined in such a way that the equation ΔS = q/T becomes correct