Solution Found!
Check the Clausius-Mossotti relation (Eq. 4.72) for the
Chapter 4, Problem 42P(choose chapter or problem)
Problem 42P
Check the Clausius-Mossotti relation (Eq. 4.72) for the gases listed in Table 4.1. (Dielectric constants are given in Table 4.2.) (The densities here are so small that Eqs. 4.70 and 4.72 are indistinguishable. For experimental data that confirm the Clausius-Mossotti correction term see, for instance, the first edition of Purcell’s Electricity and Magnetism, Problem 9.28.)23
Reference equation 4.72
Reference equation 4.70
Reference table 4.1
Reference table 4.2
Questions & Answers
QUESTION:
Problem 42P
Check the Clausius-Mossotti relation (Eq. 4.72) for the gases listed in Table 4.1. (Dielectric constants are given in Table 4.2.) (The densities here are so small that Eqs. 4.70 and 4.72 are indistinguishable. For experimental data that confirm the Clausius-Mossotti correction term see, for instance, the first edition of Purcell’s Electricity and Magnetism, Problem 9.28.)23
Reference equation 4.72
Reference equation 4.70
Reference table 4.1
Reference table 4.2
ANSWER:
Solution 42P
Step 1 of 4:
Clausius-Mossotti relation explains the relationship between the atomic polarizability, susceptibility, and the dielectric constant of a material. We are going to check the susceptibility for the gases listed in the table and verify them with both equations 4.72 and 4.7.
The given equations
Where is the molecular susceptibility
is the molecular polarizability
is the number density of the molecules
is the dielectric constant
is the permittivity of free space
NA is avogadro number
Vi is volume of the ideal gas
