How many cubic meters of helium are required to lift a balloon with a 400-kg payload to a height of 8 000 m? Take ρHe = 0.179 kg/m3. Assume the balloon maintains a constant volume and the density of air decreases with the altitude z according to the expression ρair = ρ0e−z/8, where z is in meters and ρ0 = 1.20 kg/m3 is the density of air at sea level.
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