Thermodynamics
Boltzmann Entropy
Statistical definition of entropy.
Variables
SJ/K
Entropy
Statistical entropy
k_BJ/K
Boltzmann constant
1.38×10⁻²³
Wunitless
Number of microstates
Multiplicity
Derivation
Fundamental relation connecting microscopic and macroscopic.
Your notes
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Common questions
What is the Boltzmann Entropy formula?
Boltzmann Entropy is written S = k_B ln W. Statistical definition of entropy. It belongs to Thermodynamics, under Entropy.
What are the units in S = k_B ln W?
In SI units, S is entropy, measured in kg·m²/(s²·K); k_B is boltzmann constant, measured in kg·m²/(s²·K); W is number of microstates (dimensionless).
How is the Boltzmann Entropy formula derived?
Fundamental relation connecting microscopic and macroscopic. The result is S = k_B ln W.