Problem 1: Consider a classical ideal gas in three dimensions, with N indistinguishable atoms confined in a box of volume 2°. Assume the atoms have zero spin and neglect any internal degrees of freedom. Starting from the energy levels of a single atom in a box, find: (a) The Helmholtz free (b) The entropy o (c) The pressure p energy F Hint: S -ax² dx = e Va

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Problem 1:
Consider a classical ideal gas in three dimensions, with N indistinguishable
atoms confined in a box of volume N³. Assume the atoms have zero spin
and neglect any internal degrees of freedom. Starting from the energy levels
of a single atom in a box, find:
(a) The Helmholtz free energy F'
Hint: ſ.
-ax²
d.x
e
Va
(b) The entropy o
(c) The pressure p
Transcribed Image Text:Problem 1: Consider a classical ideal gas in three dimensions, with N indistinguishable atoms confined in a box of volume N³. Assume the atoms have zero spin and neglect any internal degrees of freedom. Starting from the energy levels of a single atom in a box, find: (a) The Helmholtz free energy F' Hint: ſ. -ax² d.x e Va (b) The entropy o (c) The pressure p
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