Bonus Problem Chemistry?

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A weather balloon is prepared for lift off at the North Pole. The balloon is filled with 15,000 L of helium gas. The conditions at the launch site are 760mm Hg and 0°C. The balloon is then released and rises to a height of 20,000 m. The atmospheric pressure decreases at a rate 0f 0.0032mm Hg per meter. The temperature drops at a rate of 0.001°C per meter. At 15,000 m the balloon reaches its maximum unpressurized volume of 82.5 kL, at which time the internal pressure begins to increase at a rate of 10mm Hg per 100 L increase. The balloon ultimately reaches it maximum volume of 90 kL at 19,500 m. What is the density )g/m) of the helium gas at 20,000 m? How many molecules of He2 are in the balloon (assuming no loss)?
 
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