Search results
Results from the WOW.Com Content Network
Specific entropy may be expressed relative to a unit of mass, typically the kilogram (unit: J⋅kg −1 ⋅K −1). Alternatively, in chemistry, it is also referred to one mole of substance, in which case it is called the molar entropy with a unit of J⋅mol −1 ⋅K −1.
The von Neumann entropy formula is an extension of the Gibbs entropy formula to the quantum mechanical case. It has been shown [ 1 ] that the Gibbs Entropy is equal to the classical "heat engine" entropy characterized by d S = δ Q T {\displaystyle dS={\frac {\delta Q}{T}}\!} , and the generalized Boltzmann distribution is a sufficient and ...
Specific heat capacity (isobaric) ... and the implications of the Entropy quantity. The distribution is valid for atoms or molecules constituting ideal gases ...
Specific enthalpy: h: J/kg Entropy: S: J/K Temperature T Specific entropy s: J/(kg K) Fugacity: f: N/m 2: Gibbs free energy: G: J Specific Gibbs free energy g: J/kg Gibbs free entropy: Ξ: J/K Grand / Landau potential: Ω: J Heat capacity (constant pressure) C p: J/K Specific heat capacity (constant pressure) c p
Thus the definitions of entropy in statistical mechanics (The Gibbs entropy formula = ) and in classical thermodynamics (=, and the fundamental thermodynamic relation) are equivalent for microcanonical ensemble, and statistical ensembles describing a thermodynamic system in equilibrium with a reservoir, such as the canonical ensemble, grand ...
Interpreted in this way, Boltzmann's formula is the most basic formula for the thermodynamic entropy. Boltzmann's paradigm was an ideal gas of N identical particles, of which N i are in the i-th microscopic condition (range) of position and momentum. For this case, the probability of each microstate of the system is equal, so it was equivalent ...
S(P, T) is determined by followed a specific path in the P-T diagram: integration over T at constant pressure P 0, so that dP = 0, and in the second integral one integrates over P at constant temperature T, so that dT = 0. As the entropy is a function of state the result is independent of the path.
The Sackur–Tetrode equation is an expression for the entropy of a monatomic ideal gas. [1]It is named for Hugo Martin Tetrode [2] (1895–1931) and Otto Sackur [3] (1880–1914), who developed it independently as a solution of Boltzmann's gas statistics and entropy equations, at about the same time in 1912.