Chapter 9, Problem 2CQ

The density of air is 1.3 kg/m³ at sea level. From your knowledge of air pressure at ground level, estimate the height of the atmosphere. As a simplifying assumption, take the atmosphere to be of uniform density up to some height, after which the density rapidly falls to zero. (In reality, the density of the atmosphere decreases as we go up.) (This question is courtesy or Edward F. Redish. For more questions of this type, see http://www.physics.umd.edu/perg/.)