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Variation of atmospheric pressure, with ...

Variation of atmospheric pressure, with height from earth is

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We know that the atmospheric pressure on the surface of the earth is because of weight, of the air. The radius of the earth is 6400 km and atmospheric pressure on the sruface of earth is 1xx10^(5) N//m^(2) . Estimate the mass of the earth's atmosphere assuming that acceleration due to gravity remains constant at 10m//s^(2) over the entrie height of the atmospehre.

(a) Assume the atmosphere as an ideal gas in static equilibrium at constant temperature T0. The pressure on the ground surface is P0. The molar mass of the atmosphere is M. Calculate the atmospheric pressure at height h above the ground. (b) To be more realistic, let as assume that the temperature in the troposphere (lower part of the atmosphere) decreases with height as shown in the figure. Now calculate the atmospheric pressure at a height h0 above the ground.