The question states: How many cubic meters of helium are requiredto lift a ballo

Question

The question states: How many cubic meters of helium are requiredto lift a balloon with a 400 kg payload to a height of 8000m? (Take density of helium= 0.180kg/m3) Assume thatthe balloon maintains a constant volume and that the density of airdecreases with the altitude z according to the expressionair=oe-z/8000,where z is in meters and the density of air at sea levelis o=1.25 kg/m3.

How do I solve or get a value of z to use in theequation to get an average density to solve for the Volume ofhelium later?

-Thanks, Hector

Explanation / Answer

They give you the value of z. They tell you that the balloonwill rise to a height of 8000 m, so .      z = 8000m        and . density of air = 1.25 * e-8000/8000   = 1.25 *e-1= 0.460 kg/m3   is the density of theair

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