An Introduction to Thermal Physics
An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
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Chapter 7.2, Problem 9P
To determine

The temperature when quantum statistics become relevant for this system.

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Compute the quantum volume for an N2 molecule at room temperature, and argue that a gas of such molecules at atmospheric pressure can be treated using Boltzmann statistics. At about what temperature would quantum statistics become relevant for this system (keeping the density constant and pretending that the gas does not liquefy)?
Maxwell velocity distribution. Consider an ideal gas that obeys a Maxwell velocity distribution. Each particle has mass m. (a) Calculate the expected kinetic energy of a gas molecule using the Maxwell distribution. Could you have calculated the expected value another way? (b) Is your answer to part (a) equal to (i)mc² , (ii)mums , (ii) ;mup, none of these. Recall C is the average speed,Urms is the root-mean-square speed, and Ump is the most probable speed. Show your work. (c) If the temperature is held constant, but the mass m of each particle is increased by a factor of 4, by how much does your answer to (a) change? By how much does C change?
Consider a gas of ? rigid diatomic molecules at temperature ?. a. What is the enthalpy, ?, in terms of the temperature ? and the Boltzmann constant? b. What is the average kinetic energy of the translational motion of one of the gas molecules in termsof ? and the Boltzmann constant?
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