Compute the quantum volume for an N2 molecule at room

Chapter 7, Problem 9P

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QUESTION:

Problem 9P

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 sthat the gas does not liquefy)?

Questions & Answers

QUESTION:

Problem 9P

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 sthat the gas does not liquefy)?

ANSWER:

Step 1 of 3

Mass of an nitrogen molecule

So its quantum volume at room temperature

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