If you let this gas expand freely until the electrons were, Mechanical Engineering

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If you let this gas expand freely until the electrons were

Consider a degenerate gas of electrons at a density of 10²⁹/m³ (about the density of conduction electrons in metals) and at a temperature of 0 K.

(a) What would be the Fermi level?

(b) What would be the average energy per electron?

(c) If you let this gas expand freely until the electrons were sufficiently far apart that they could be treated as a classical gas, what then would be the temperature of the gas?

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