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Pressure and bulk modulus of an electron gas. (a) Derive a relation connecting
the pressure and volume of an electron gas at 0 K.
The result may be writ-
ten as p =(UV). (b) Show that the bulk modulus B = -V(ap/aV) of an electron
gas at 0 K is B = 5p/3 = 10U/9V.

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