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Grade 12Magnetism

a magnetic field of 3.6T is applied to a paramagnetic gas. The atoms of the gas have magnetic dipole moment of 4.5*10^-23 J/T. At what temperature will the mean transitional kinetic energy of an atom of the gas equal to the energy required to change the alignment of atoms magnetic dipole from antiparallel to parallel(to the magnetic field)
can anyone solve it fully

Profile image of Bhuvanesh Kumar
7 Years agoGrade 12
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1 Answer

Profile image of Susmita
7 Years ago
Energy required to change orientation
=\mu B-(-\mu B)=2\mu B
 =32.4×10-23J
Mean kinetic energy=3kT/2
Equateing the two energies
T=2×32.4×10-23/(3×1.38×10-23)=15.6K
 

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