Posted by **Sierra** on Wednesday, July 25, 2012 at 10:15pm.

You want to design a helium-filled balloon that will lift a total payload of 1225 kg. What volume of helium is needed to just barely lift this payload?

- Physics -
**drwls**, Thursday, July 26, 2012 at 2:24am
Use Archimedes' Principle.

Volume*(Air density) = Payload + (Volume)*(Helium density)

Solve for Volume.

You will need to assume a temperature and pressure. I suggest 15 C and 1 atmosphere.

At sea level and at 15°C , the density of air is 1.275 kg/m^3. Helium would be 4/29 of that, or 0.176 kg/m^3

V = 1225 kg/(1.275 - 0.176)kg/m^3

= 1115 m^3

The "payload" is assumed to include the weight of all balloon materials, not just cargo

## Answer This Question

## Related Questions

- Physics - In this problem, your task is to analyze a lead balloon. The balloon ...
- Physics PLEASE help! - I REALLY NEED HELP WITH THIS!!!!! In this problem, your ...
- Science- physics - A balloon weighing 80 kg has a capacity of 1200 m3. If it is ...
- Physics - A balloon of negligible mass is filled with helium gas (p=0.179 kg/m^3...
- Physics - A spherical helium filled balloon is attached to a string that is ...
- Physics - A spherical helium filled balloon is attached to a string that is ...
- Chemistry - The total mass that can be lifted by a balloon is given by the ...
- Chemistry - The total mass that can be lifted by a balloon is given by the ...
- Physics - A spherical helium filled balloon is attached to a string that is ...
- Chemistry - A hot air balloon has a volume of 5.00x10^6 liters. Assuming a ...

More Related Questions