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Finding the maximum density of a balloon

  1. Dec 6, 2006 #1
    1. The problem statement, all variables and given/known data

    A ballon is filled with helium at an atomospheric pressure. The skin of the ballon has a mass of 3.1 kg and the volume of the balloon is 18 m^3.

    2. Relevant equations
    What is the greatest weight of the balloon?


    3. The attempt at a solution
    In order to determine the maximum weight of the balloon, wouldn't you have to calculate the weight differences between the balloon and the air surrounding the balloon. Assuming this is the correct step,

    18m^3*(density of air=1.293)*9.8-3.1*9.8=maximum weight
    or
    18m^3*(density of air=1.293+density of helium=.1786)-9.8*3.1=maximum weight
    or
    18m^3*(Density of air=1.293)*9.8-18m^3*(density of helium=.1786)*9.8-3.1*9.8=maximum weight

    Which of these 3 calculations I attempted is correct
     
  2. jcsd
  3. Dec 6, 2006 #2

    berkeman

    User Avatar

    Staff: Mentor

    You need to add the weight of the balloon skin, not subtract it. Other than that, your 3rd try looks correct to me.
     
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