Use these results to show that the internal energy of a monatomic ideal gas at pressure P and occupying volume V may be written as  U =  3 2PV.

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter10: Statistical Physics
Section: Chapter Questions
Problem 8P
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The only form of energy possessed by molecules of a monatomic ideal gas is translational kinetic energy. From kinetic, the average kinetic energy per molecule is

KEmolecule = 
3
2
kBT = 
3
2
 
R
NA
 
T

Use these results to show that the internal energy of a monatomic ideal gas at pressure P and occupying volume V may be written as 

U = 
3
2
PV.

 

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