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Get Full Access to An Introduction To Thermal Physics - 1 Edition - Chapter 5 - Problem 12p
Get Full Access to An Introduction To Thermal Physics - 1 Edition - Chapter 5 - Problem 12p

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# Functions encountered in physics are generally well enough

ISBN: 9780201380279 40

## Solution for problem 12P Chapter 5

An Introduction to Thermal Physics | 1st Edition

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Problem 12P Problem 12P

Functions encountered in physics are generally well enough behaved that their mixed partial derivatives do not depend on which derivative is taken first. Therefore, for instance,

where each /∂V is taken with S fixed, each /∂S is taken with V fixed, and N is always held fixed. From the thermodynamic identity (for U) you can evaluate the partial derivatives in parentheses to obtain

a nontrivial identity called a Maxwell relation. Go through the derivation of this relation step by step. Then derive an analogous Maxwell relation from each of the other three thermodynamic identities discussed in the text (for H, F, and G). Hold N fixed in all the partial derivatives; other Maxwell relations can be derived by considering partial derivatives with respect to N, but after you’ve done four of them the novelty begins to wear off. For applications of these Maxwell relations, see the next four problems.

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##### ISBN: 9780201380279

The full step-by-step solution to problem: 12P from chapter: 5 was answered by , our top Physics solution expert on 07/05/17, 04:29AM. This textbook survival guide was created for the textbook: An Introduction to Thermal Physics , edition: 1. This full solution covers the following key subjects: Derivatives, fixed, Maxwell, partial, relation. This expansive textbook survival guide covers 10 chapters, and 454 solutions. The answer to “Functions encountered in physics are generally well enough behaved that their mixed partial derivatives do not depend on which derivative is taken first. Therefore, for instance, where each ?/?V is taken with S fixed, each ?/?S is taken with V fixed, and N is always held fixed. From the thermodynamic identity (for U) you can evaluate the partial derivatives in parentheses to obtain a nontrivial identity called a Maxwell relation. Go through the derivation of this relation step by step. Then derive an analogous Maxwell relation from each of the other three thermodynamic identities discussed in the text (for H, F, and G). Hold N fixed in all the partial derivatives; other Maxwell relations can be derived by considering partial derivatives with respect to N, but after you’ve done four of them the novelty begins to wear off. For applications of these Maxwell relations, see the next four problems.” is broken down into a number of easy to follow steps, and 149 words. Since the solution to 12P from 5 chapter was answered, more than 324 students have viewed the full step-by-step answer. An Introduction to Thermal Physics was written by and is associated to the ISBN: 9780201380279.

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Functions encountered in physics are generally well enough