The change in Helmholtz free energy is equal to the maximum work accompanying the process of the system occurring at constant volume
12.
The number is the free energy ( specifically, the Helmholtz free energy ) and is a constant for the ensemble.
13.
For example, in explosives research, Helmholtz free energy is often used since explosive reactions by their nature induce pressure changes.
14.
For systems at constant volume the Helmholtz free energy is minimum and for systems at constant pressure the Gibbs free energy is minimum.
15.
At this point, the system is at equilibrium and internal states minimise Helmholtz free energy, by the principle of minimum energy.
16.
Where \ mu is the chemical potential, T is the temperature, and A [ \ rho ] is the helmholtz free energy.
17.
The Helmholtz free energy,, and Gibbs energy,, are obtained by performing Legendre transforms of the internal energy and enthalpy, respectively,
18.
The system's net gain in entropy is positive from increased volume, thus the Helmholtz free energy is negative and depletion flocculation happens spontaneously.
19.
This thermodynamic potential is related to the Helmholtz free energy ( logarithm of the canonical partition function ), F \,, in the following way:
20.
The Helmholtz free energy function for a pure substance ( together with its partial derivatives ) can be used to determine all other thermodynamic properties for the substance.
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