Density of the gas at height h to the density at the surface

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Suppose we have a gas in thermal equilibrium at temperature T. Each molecule of gas has a mass m.

a) What is the ratio of the number of molecules at the earth's surface to teh number at height h with a potential 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? How does it fail?

Reference no: EM13652738

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