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If all the empty space of atoms were removed, how big would this earth be?

  1. Sep 25, 2009 #1
    Hi everyone, first time poster.
    Considering some of the things discussed here, I apologize if my question sounds simplistic.

    If this earth could be compressed so that all the empty space in atoms would disappear how big would this earth be?
    My science teacher once told me that it would be the size of a marble, and I've also heard that it would be the size of a large stadium. I realize it's not an easy thing to estimate but that seems to be quite a difference.

    An example of such scales of atoms would be appreciated. (i.e. I've also been told all 6.5 people in this world could be compressed into the size of a kidney bean)

    Thanks!
     
  2. jcsd
  3. Sep 25, 2009 #2

    Vanadium 50

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    The stadium is closer. An iron atom has a radius of about 1.2 x 10-10 m and an iron nucleus about 4.6 x 10-15 m. So there is a factor of about 26000 in radius, which means the earth would be about 500 m across.
     
  4. Sep 25, 2009 #3
    The black hole radius of the Earth is about 1 cm.
     
  5. Sep 26, 2009 #4
    Thanks for the answer! Come to think of it, I think my science teacher was referring to the black hole density, not the compressed atom density.
     
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