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Get Full Access to An Introduction To Thermal Physics - 1 Edition - Chapter 7 - Problem 6p
Get Full Access to An Introduction To Thermal Physics - 1 Edition - Chapter 7 - Problem 6p

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# Show that when a system is in thermal and diffusive

ISBN: 9780201380279 40

## Solution for problem 6P Chapter 7

An Introduction to Thermal Physics | 1st Edition

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Problem 6P

Problem 6P

Show that when a system is in thermal and diffusive equilibrium with a reservoir, the average number of particles in the system is

where the partial derivative is taken at fixed temperature and volume. Show also that the mean square number of particles is

Use these results to show that the standard deviation of N is

in analogy with Problem Finally, apply this formula to an ideal gas, to obtain a Simple expression for σN in terms of . Discuss your result briefly.

Problem:

Prove that, for any system in equilibrium with a reservoir at temperature T, the average value of E2 is

Then use this result and the results of the previous two problems to derive a formula for σE in terms of the heat capacity,  You should find

Step-by-Step Solution:
Step 1 of 3

ChemistryofSolutions CourseNumber:202-NYB-05 Lectureno.2 Date:Tuesday,August30,2016 Professor:NadiaSchoonhoven TopicsCovered:solutioncomposition,reviewofintermolecularforces, energiesofsolutionformation,effectsoftemperatureandpressureon solubility. SolutionComposition--Continued • It’simportanttonotethatmasspercent,molarity,molality,andthemole fractionarevaluesthatarenotdependentontemperature;achangein temperaturewillnotalterthemassofasolution. • Achangeintemperaturewill,however,changeasolution’svolume. Therefore,molarityistemperaturedependent. • Remember: Molarity=M=molesofsolute/litersofsolution Masspercent=(massofsolute/massofsolution)×100 Mole

Step 2 of 3

Step 3 of 3

##### ISBN: 9780201380279

This textbook survival guide was created for the textbook: An Introduction to Thermal Physics , edition: 1. This full solution covers the following key subjects: system, show, results, temperature, average. This expansive textbook survival guide covers 10 chapters, and 454 solutions. An Introduction to Thermal Physics was written by and is associated to the ISBN: 9780201380279. The full step-by-step solution to problem: 6P from chapter: 7 was answered by , our top Physics solution expert on 07/05/17, 04:29AM. The answer to “Show that when a system is in thermal and diffusive equilibrium with a reservoir, the average number of particles in the system is where the partial derivative is taken at fixed temperature and volume. Show also that the mean square number of particles is Use these results to show that the standard deviation of N is in analogy with Finally, apply this formula to an ideal gas, to obtain a Simple expression for ?N in terms of . Discuss your result briefly.Problem:Prove that, for any system in equilibrium with a reservoir at temperature T, the average value of E2 is Then use this result and the results of the previous two problems to derive a formula for ?E in terms of the heat capacity, You should find” is broken down into a number of easy to follow steps, and 127 words. Since the solution to 6P from 7 chapter was answered, more than 342 students have viewed the full step-by-step answer.

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