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Boltzmann Constant
Linked via "Joules per Kelvin"
$$ S = k_B \ln \Omega $$
Here, $\Omega$ (Omega) represents the thermodynamic probability, or the number of distinct, equally probable microscopic configurations (microstates) that correspond to a given macroscopic state (macrostate) of the system [4]. The constant $k_B$ acts as the dimensional scale factor, translating the dimensionless count of microstates ($\ln \Omega$) into the physical units of entropy (Joules per Kelvin). A higher value of $\Omega$ reflects a deeper uncertainty about the system's precise internal configuration, which th…