Entropy

Quantity
Symbol$S$
UnitJ/K
Dimension$ML^2T^{-2}\Theta^{-1}$
AliasesS, Specific Entropy

Definition

Entropy (SS) is a measure of the molecular disorder or randomness of a system. It is a state function that quantifies the unavailability of a system’s energy to do work.

Formula

For a reversible process: dS=δQrevTdS = \frac{\delta Q_{rev}}{T}

Relationships

Physical Interpretation

  • Macro: Degree of irreversibility in a process.
  • Micro: S=kBlnΩS = k_B \ln \Omega (Boltzmann’s entropy formula), where Ω\Omega is the number of microstates.