Weather Balloon

[Corky]

A 507kg weather balloon is designed to lift a 4220kg package. What volume should the balloon have after being filled with helium at STP in order that the total load can be lifted.

I have no idea how to start this problem...

[Chi Meson]

This is a bouyancy problem. Get to the Archemedes section of your text. Find densities of air and helium.

The bouyant force balances the total weight of the balloon , tha package and the helium gas.

I get a volume of 4260 m^3.

[Corky]

All right, so:

W(balloon) + W(package) W(helium) = F(bouyant)
4973.67 + 41398.2 + [0.179 * volume * 9.81](heluim) = F
= 1.29 * volume * 9.81

But what do I put if for volume..??

[Corky]

got it thanks