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A sample of air contains 32.7 µg/m3
of beryllium dust. How many atoms of beryllium are
present in a room with dimensions of 8 feet by
13.6 feet by 15.6 feet?
Answer in units of atoms

  • science -

    Compute the room volume in ft^3 and convert it to cubic meters.

    8*13.6*15.6 = 1797 ft^3 = 50.9 m^3

    With 32.7*10^-6 g per m^3, there are 1.66*10^-3 gram of Be dust in the room.
    Convert that to moles using the atomic weight of Be (9.0 g/mol), and then use Avogadro's number for the number of atoms.

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