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A weather balloon is prepared for lift off at the NorthPole. The balloon is filled with 15,000 L of heliumgas. The conditions at the launch site are 760 mm Hg and0*C. The balloon is then released and rises to a height of20,000 m. The atmospheric pressure decreases at a rate of0.0032 mm Hg per meter. The temperature drops at a rate of0.001*C per meter. At 15,000 m the balloon reaches itsmaximum unpressurized volume of 82.5 kL, at which time the internalpressure begins to increase at a rate of 10 mm Hg per 100 Lincrease. The balloon ultimately reaches its maximum volumeof 90 kL at 19,500 m. What is the density )g/m) of the heliumgas at 20,000 m? How many molecules of He2 are in the balloon(assuming no loss)?Where would you even begin?

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