Sulfur dioxide gas is held at ( )

PHYSICS · Multi-part · Fermi University Physics · Electricity, Magnetism & Electromagnetism · Electric fields in matter · Electric fields in matter

The Boundary-Value Problem, Ch Molecular polarisability, permanent dipoles and the Clausius-Mossotti relation

Problem

Sulfur dioxide gas is held at

1.000\,\mathrm{atm}

(

1.013\times10^5\,\mathrm{Pa}

). The measured electric susceptibility is

\chi_e = 7.72\times10^{-3}

T=300\,\mathrm{K}

and

\chi_e = 4.56\times10^{-3}

T=400\,\mathrm{K}

. The gas is dilute enough that the local field equals the macroscopic field. ((a)) Find the number density

N_v

at each temperature, treating the gas as ideal. ((b)) Compute

\varepsilon_0\chi_e/N_v

at each temperature and use the Debye equation to find the slope and intercept of the line through the two points. ((c)) Read off

p

(in

\mathrm{C\,m}

and in debye) and

\alpha/4\pi\varepsilon_0