Posted by **Anonymous** on Wednesday, May 9, 2007 at 3:30am.

A 650 kg weather balloon is designed to lift a 4600 kg package. What volume should the balloon have after being inflated with helium at 0 degrees celcius and 1 atm pressure to lift the total load?

The buoyancy force must equal the weight lifted. Let V be the volume.

g*[(He density)* V + 650 kg] = (Air density)*V*g

Cancel out the g's. Assume the outside air density correesponds to the same 1 atm and 0 C. He density is 4 kg/22.4 m^3 and the air density is 29/22.4 kg/m^3

0.179 V + 650 = 1.295 V

Solve for V (in cubic meters)

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