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Perfect (ideal) gases

Suppose your balloon has a radius of 3 m and that it is a spere when inflated.

a.) how much H is needed to inflate it to a pressure of 1 atm at an ambient T of 25 celsius @ sea level?

b.) what mass can the balloon lift @sea level, where the density of air is 1.22 kg m^-3 ?

c.) what would be the payload if helium were used instead of hydrogen?

d.) would you and a companion on board, the balloon ascends to 30,000 feet where pressure is 0.28 atm. Assume no volume change, what is the temp (in celsius) at 30,000 feet?

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