Atmospheric pressure p varies with altitude h according to the ... | Filo
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SOLVED:Show that the variation of atmospheric pressure with altitude is given by P=P0 e^-αy, where α=ρ0 g / P0, P0 is atmospheric pressure at some reference level y=0 , and ρ0 is the atmospheric density at this level. Assume the decrease in atmospheric pressure over an infinitesimal change in altitude (so that the density is approximately uniform) is given by d P=-ρg d y and that the density of air is proportional to the pressure.
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The density of atmospheric air varies with elevation, decreasing with increasing altitude. (a) Using the data given in the table, obtain a relation for the variation of density with elevation, and calculate the density at an elevation of 7000 m .(b) Calculate the mass of the atmosphere using the correlation you obtained. Assume the earth to be a perfect sphere with a radius of 6377 km, and take the thickness of the atmosphere to be 25 km
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