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    ronerin's Avatar
    ronerin Posts: 1, Reputation: 1
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    #1

    Nov 23, 2008, 09:46 PM
    Making a Lead Balloon Fly
    So Im a little lost on how to start looking for a solution here...

    Given that you have a spherical balloon made of lead with the shell being .1mm thick. And filled with Helium.

    What is the volume required for it to float?

    P=10^5Pa
    T=300K
    colbtech's Avatar
    colbtech Posts: 748, Reputation: 66
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    #2

    Nov 24, 2008, 09:06 AM

    What diameter is the balloon?
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #3

    Nov 24, 2008, 11:30 AM

    What is P and T? Is this the temp and pressure of the atmosphere that the baloon is foat in? You would set the weight of the lead sphere = weight of air displaced. If we assume that the interior of the lead balloon is a vacuum, then the total weight of the balloon is:



    where is the radius, is the thickness, and is the density of lead. Set this equal to the weight of air that the balloon displaces:



    Use the ideal gas law to calclulate the density of the air:

    PV = nRT, or n/V = P/RT. Multiply this by the molecular weight of air to find the air's density given P and T.

    Only other unknown is the density of lead - you must have a table where you can look that up.
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