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At a certain altitude, the density of ai...

At a certain altitude, the density of air is 1/10th of the density of the earth's atmosphere and temperature is `-10^(@)C`. What is the pressure at that altitude ? Assume that air behaves like an ideal gas, has uniform composition and is at S.T.P. at the earth's surface.

Text Solution

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`d=(MP)/(RT)` or `P=(dRT)/(M)`
Hence `(P_(2))/(P_(1))=(d_(2)T_(2))/(d_(1)T_(1)) " or "P_(2)=(P_(1)T_(2))/(T_(1))=((d_(2))/(d_(1)))=(760xx263)/(273)((1)/(10))=73.2 mm`
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