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Pressure of Fermi gas at Absolute zero

Show that the pressure exerted by a Fermi gas at absolute zero is

p = (2NEf)/(5V)

where N is the total number of particles, Ef the fermi energy and V is the volume.

((If you need to use the relation for the mean energy <E> of particles obeying Fermi-Dirac statistics at absolute zero temperature, you can just quote it's <E> = 3Ef/5 I derived it earlier in this problem, so you don't have to derive it again))

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Solution Summary

In free electron theory , the electrons are considered as particles with half integral spins and so Fermions. The present problem describes the derivation of the pressure exerted by fermi gas at absolute zero.