Consider a system at temperature , with N atoms of mass M in volume. Let (0) denote
Question:
(a) Prove carefully and honestly that the value of the total chemical potential for the identical system when translated to altitude h is
μ(h) = μ(0) + Mgh
Where g is the acceleration of gravity.
(b) Why is this result different from that applicable to the barometric equation of an isothermal atmosphere?
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