Consider a classical ideal gas in three dimensions, with N indistin- guishable atoms confined in a box of volume V = L³. 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 (b) The entropy o (c) The pressure p
Consider a classical ideal gas in three dimensions, with N indistin- guishable atoms confined in a box of volume V = L³. 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 (b) The entropy o (c) The pressure p
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Transcribed Image Text:Consider a classical ideal gas in three dimensions, with N indistin-
guishable atoms confined in a box of volume V = L³. 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
(b) The entropy o
(c) The pressure p
(d) The chemical potential u
(e) If the effect of the gravitational field of the Earth is taken into account (constant
gravitational acceleration g), the chemical potential would also depend on the height
h from some reference point which can be taken to be the sea level. Find u(h) in
this case
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