Which of the following statements regarding the Helmholtz function (Helmholtz free energy) are generally true? Select one or more: a. The Helmholtz function is minimized in thermodynamic equilibrium for an isolated system whose energy E, volume V and number of particles N are constant. b. The minimization of the Helmholtz function in thermodynamic equilibrium (under the right conditions) is a consequence of the minimization of the internal energy of the system. c. The minimization of the Helmholtz function in thermodynamic equilibrium is a consequence of the maximization of the total entropy of the system and the environment. d. The Helmholtz function is minimized in thermodynamic equilibrium for a closed system whose temperature T and volume V are constant.

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter18: More Statistical Thermodynamics
Section: Chapter Questions
Problem 18.4E
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Which of the following statements regarding the Helmholtz function (Helmholtz free energy) are generally
true? Select one or more:
a. The Helmholtz function is minimized in thermodynamic equilibrium for an isolated system whose
energy E, volume V and number of particles N are constant.
b. The minimization of the Helmholtz function in thermodynamic equilibrium (under the right conditions)
is a consequence of the minimization of the internal energy of the system.
c. The minimization of the Helmholtz function in thermodynamic equilibrium is a consequence of the
maximization of the total entropy of the system and the environment.
d. The Helmholtz function is minimized in thermodynamic equilibrium for a closed system whose
temperature T and volume V are constant.
Transcribed Image Text:Which of the following statements regarding the Helmholtz function (Helmholtz free energy) are generally true? Select one or more: a. The Helmholtz function is minimized in thermodynamic equilibrium for an isolated system whose energy E, volume V and number of particles N are constant. b. The minimization of the Helmholtz function in thermodynamic equilibrium (under the right conditions) is a consequence of the minimization of the internal energy of the system. c. The minimization of the Helmholtz function in thermodynamic equilibrium is a consequence of the maximization of the total entropy of the system and the environment. d. The Helmholtz function is minimized in thermodynamic equilibrium for a closed system whose temperature T and volume V are constant.
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9781133958437
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Ball, David W. (david Warren), BAER, Tomas
Publisher:
Wadsworth Cengage Learning,