(c) Consider a classical gas of N atoms. (i) If the particles are distinguishable, what would be the expression of the partition function of the system in terms of that of a single atom, Z,? (ii) If the particles are indistinguishable, what would be the expression of the partition function of the system in terms of that of a single atom, Z,?
(c) Consider a classical gas of N atoms. (i) If the particles are distinguishable, what would be the expression of the partition function of the system in terms of that of a single atom, Z,? (ii) If the particles are indistinguishable, what would be the expression of the partition function of the system in terms of that of a single atom, Z,?
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Part C please.
Transcribed Image Text:(a) A molecule in thermal equilibrium at temperature Thas 4 accessible
states, with energies E, = -€, E2 = E3 = 0 and E4 = e.
(i)
What is the partition function for this molecule?
(ii)
What is its internal energy?
(b) Consider a gas of N fermions.
(i)
At T = 0, what does the Fermi momentum represent?
(ii)
Consider the occupation number for state i, (n;). In the limit
of T → 0, what are the possible values (n;) can take? Explain
your answer in terms of the relative values of the energy of
the state and the chemical potential.
(c) Consider a classical gas of N atoms.
(i)
If the particles are distinguishable, what would be the
expression of the partition function of the system in terms of
that of a single atom, Z,?
(ii)
If the particles are indistinguishable, what would be the
expression of the partition function of the system in terms of
that of a single atom, Z,?
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