# Equivalence of Boltzmann and Clausius entropy

by Bobhawke
Tags: boltzmann, clausius, entropy, equivalence
 P: 144 I can't figure out how to show that the Clausius entropy $$\Delta S= \int_{T_1}^{T_2} \frac{dQ}{T}$$ is equivalent to the Boltzmann entropy $$S=kln \Omega$$ at thermal equilibrium. Does anyone know how to do this?