A) An atom has two electronic levels of energy 0 and. Suppose the atom is in thermal equilibrium with a heat bath at temperature T. What ensemble should be used for this atom? Calculate the partition function Z, the average energy E, and the Helmholtz free energy F for this atom in the canonical encapsulation. Find the probabilities of each microstate of the atom. B) Calculate the entropy S of this atom for the various methods given below. i) F = E-TS

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter11: Molecular Structure
Section: Chapter Questions
Problem 12P
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A) An atom has two electronic levels of energy 0 and. Suppose the atom is in thermal
equilibrium with a heat bath at temperature T. What ensemble should be used for this atom?
Calculate the partition function Z, the average energy E, and the Helmholtz free energy F for
this atom in the canonical encapsulation. Find the probabilities of each microstate of the atom.
B) Calculate the entropy S of this atom for the various methods given below.
i) F = E-TS
ii) Using the appropriate derivative of F.
iii) Calculate (S
-kn E: -P. In p.)using the microstate distribution probabilities.
Transcribed Image Text:A) An atom has two electronic levels of energy 0 and. Suppose the atom is in thermal equilibrium with a heat bath at temperature T. What ensemble should be used for this atom? Calculate the partition function Z, the average energy E, and the Helmholtz free energy F for this atom in the canonical encapsulation. Find the probabilities of each microstate of the atom. B) Calculate the entropy S of this atom for the various methods given below. i) F = E-TS ii) Using the appropriate derivative of F. iii) Calculate (S -kn E: -P. In p.)using the microstate distribution probabilities.
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