The balloon crowd

A spherical balloon of radius \(10~\mbox{cm}\) is filled with air of density \( 1.23~\mbox{kg}/\mbox{m}^3\). What's the order of magnitude for the number of air molecules inside of the balloon?

Details and assumptions

  • An air molecule weighs on average \(4.81 \times 10^{-23}~\mbox{kg}\).
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