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find the density of air at any height an...

find the density of air at any height and hence the height at which it is halved. Assume that the temperature reamins fixed throughout the atmosphere. The pressure at the earth's surface is `P_(0) = 1.012 xx 10^(5) Nm^(-2)` and density ` p_(o)=1.293 kg m^(-3)`

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The correct Answer is:
`p=p_(0)^(e)-(pog)/p_(0)h,h=(p_(0)ln2)/(p_(0)g)=5.5 xx10^(3) m`
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