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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.
z, km ρ,kg/m3
6377
1.225
6378
1.112
6379
1.007
6380
0.9093
6381
0.8194
6382
0.7364
6383
0.6601
6385
0.5258
6387
0.4135
6392
0.1948
6397
0.08891
6402
0.04008
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