Boltzmann's entropy formula

Boltzmann's entropy formula is a fundamental equation in statistical mechanics that relates the entropy \( S \) of a system to the number of microstates \( \Omega \) associated with that system. The formula is expressed as: \[ S = k \ln \Omega \] where: - \( S \) is the entropy of the system. - \( k \) is Boltzmann's constant (\( k \approx 1.