Continuing still with the helium example, what is the total partition function for 1000 helium atoms in a cubic millimeter? Even for only 1000 particles, the result will be far too large for a calculator. Therefore, answer with the natural log of ZN, In(ZN). You will need to employ Stirling's approximation.

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter10: Introduction To Quantum Mechanics
Section: Chapter Questions
Problem 10.14E: Using the original definition of the momentum operator and the classical form of kinetic energy,...
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Continuing still with the helium example, what is the total
partition function for 1000 helium atoms in a cubic millimeter?
Even for only 1000 particles, the result will be far too large for a
calculator. Therefore, answer with the natural log of ZN, In(ZN).
You will need to employ Stirling's approximation.
Transcribed Image Text:Continuing still with the helium example, what is the total partition function for 1000 helium atoms in a cubic millimeter? Even for only 1000 particles, the result will be far too large for a calculator. Therefore, answer with the natural log of ZN, In(ZN). You will need to employ Stirling's approximation.
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