Consider a column of gas, consisting of atoms of mass M, at temperature r in a uniform gravita- tional field g. Find the thermal average potential energy per atom. The thermal average kinetic energy density is independent of height. Find the total heat capacity per atom. The total heat capacity is the sum of contributions from the kinetic energy and from the potential energy. Take the zero of the gravitational energy at the bottom h 0 of the column. Integrate from h 0 to

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2. POTENTIAL ENERGY OF GAS IN A GRAVITATIONAL FIELD.
Consider a column of gas, consisting of atoms of mass M, at temperature 7 in a uniform gravita-
tional field g. Find the thermal average potential energy per atom. The thermal average kinetic
energy density is independent of height. Find the total heat capacity per atom. The total heat
capacity is the sum of contributions from the kinetic energy and from the potential energy. Take
the zero of the gravitational energy at the bottom h = 0 of the column. Integrate from h = 0 to
h = ∞0.
Transcribed Image Text:2. POTENTIAL ENERGY OF GAS IN A GRAVITATIONAL FIELD. Consider a column of gas, consisting of atoms of mass M, at temperature 7 in a uniform gravita- tional field g. Find the thermal average potential energy per atom. The thermal average kinetic energy density is independent of height. Find the total heat capacity per atom. The total heat capacity is the sum of contributions from the kinetic energy and from the potential energy. Take the zero of the gravitational energy at the bottom h = 0 of the column. Integrate from h = 0 to h = ∞0.
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