Is the mentioned hydrogen gas a boson gas or fermion gas?
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Transcribed Image Text:Given 8 hydrogen molecules form a perfect quantal gas.
The system is put into a heat bath at constant temperature T.
(a) Is the mentioned hydrogen gas a boson gas or fermion gas?
Find all the distinct energy levels of the system, Es, and the
corresponding degeneracies, gs (or number of microstates of
Es). Tabulate your work out and answers.
(b) Find the partition function, Z, Helmholtz free energy, F, mean
energy E, and entropy, S, of the gas.
Note: Your answers in Parts (a) and (b) should be in terms of e
and kBT, you cannot use the number given to kÊT in Part (c).
(c)
=
Given KBT 3ɛ. Sketch the probability distributions of Es in a
bar-chart, and determine the most probable energy level.
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