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Physics / An Introduction to Thermal Physics 1 / Chapter 6 / Problem 44P

An Introduction to Thermal Physics | 1st Edition | ISBN: 9780201380279 | Authors: Daniel V. Schroeder

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Consider a large system of N indistinguishable,

Chapter 6, Problem 44P

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QUESTION:

Problem 44P

Consider a large system of N indistinguishable, noninteracting molecules. (perhaps in an Ideal gas or a dilute solution) . find an expression for the Helmholtz free energy of this system, in terms of Z1 , the partition function for a single molecule. (Use Stirling’ s approximation to eliminate the N!) Then use your result to find the chemical potential, again in terms of Zl.

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QUESTION:

Problem 44P

Consider a large system of N indistinguishable, noninteracting molecules. (perhaps in an Ideal gas or a dilute solution) . find an expression for the Helmholtz free energy of this system, in terms of Z1 , the partition function for a single molecule. (Use Stirling’ s approximation to eliminate the N!) Then use your result to find the chemical potential, again in terms of Zl.

ANSWER:

Step 1 of 5

The partition function for system of indistinguishable, noninteracting particles is given by:

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