Define ideal gas in one-dimensional potential, Physics

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Define Ideal Gas in One-Dimensional Potential?

An ideal gas of particles, each of mass m at temperature ?? is subjected to an external force whose potential energy has the form with0≤x≤∞, A>0 and n>0.

U(x) = Axⁿ

Compute the average potential energy per particle.

What is the medium potential energy per particle in a gas in a uniform Gravitational field?

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