Suppose we have an ideal fermion gas of identical particles in a "box" at T = 0 K. Which of the following statements are true? a. The multiplicity of the gas is 2=1 b. The multiplicity of the gas is =N! C. If the gas consists of electrons with densities that correspond to the typical densitie of conduction electrons in metals, only a part of the electrons can contribute to the heat capacity of the system as the temperature rises. d. If the gas consists of electrons with densities corresponding to the typical densities of conduction electrons in metals, all electrons can easily contribute to the heat capacity of the system as the temperature rises.

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Suppose we have an ideal fermion gas of identical particles in a "box" at T = 0 K.
Which of the following statements are true?
a.
The multiplicity of the gas is =1
b.
The multiplicity of the gas is =N!
C.
If the gas consists of electrons with densities that correspond to the typical densities
of conduction electrons in metals, only a part of the electrons can contribute to the
heat capacity of the system as the temperature rises.
d.
If the gas consists of electrons with densities corresponding the typical densities
of conduction electrons in metals, all electrons can easily contribute to the heat
capacity of the system as the temperature rises.
Transcribed Image Text:Suppose we have an ideal fermion gas of identical particles in a "box" at T = 0 K. Which of the following statements are true? a. The multiplicity of the gas is =1 b. The multiplicity of the gas is =N! C. If the gas consists of electrons with densities that correspond to the typical densities of conduction electrons in metals, only a part of the electrons can contribute to the heat capacity of the system as the temperature rises. d. If the gas consists of electrons with densities corresponding the typical densities of conduction electrons in metals, all electrons can easily contribute to the heat capacity of the system as the temperature rises.
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