1-30 The density of atmospheric air varies with eleva- tion, 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 atmo- sphere 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 6377 6378 6379 6380 6381 6382 6383 6385 6387 6392 6397 6402 p. kg/m³ 1.225 1.112 1.007 0.9093 0.8194 0.7364 0.6601 0.5258 0.4135 0.1948 0.08891 0.04008

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Chapter5: Analysis Of Convection Heat Transfer
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The density of atmospheric air varies with eleva-
tion, 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 atmo-
sphere 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.
1-30
z, km
6377
6378
6379
6380
6381
6382
6383
6385
6387
6392
6397
6402
p, kg/m³
1.225
1.112
1.007
0.9093
0.8194
0.7364
0.6601
0.5258
0.4135
0.1948
0.08891
0.04008
Transcribed Image Text:The density of atmospheric air varies with eleva- tion, 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 atmo- sphere 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. 1-30 z, km 6377 6378 6379 6380 6381 6382 6383 6385 6387 6392 6397 6402 p, kg/m³ 1.225 1.112 1.007 0.9093 0.8194 0.7364 0.6601 0.5258 0.4135 0.1948 0.08891 0.04008
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