Suppose we have a gas in thermal equilibrium at temperature, Physics

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Suppose we have a gas in thermal equilibrium at temperature

Suppose we have a gas in thermal equilibrium at temperature T. Each molecule of the gas has mass m. (a) What is the ratio of the number of molecules at the Earth's surface to the number at height h(with potential energy mgh)? (b) What is the ratio of the density of the gas at height h to the density at the surface? (c) Would you expect this simple model to give an adequate description of the Earth's atmosphere?

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Physics: Suppose we have a gas in thermal equilibrium at temperature

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