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-   -   If you mutiplied a number by itself and repeated could you reach an atomic number? (https://www.askmehelpdesk.com/showthread.php?t=516015)

  • Oct 12, 2010, 11:42 AM
    tmeunknown
    If you mutiplied a number by itself and repeated could you reach an atomic number?
    Starting with the number two, multiply it by itself, then take that number and multiply itself, etc, etc.
    It's been said that if a computer counted a million atoms a second that it would take billions of years to count the amount of atoms in a gram of any element. Could you count the amount of atoms this way in a year maybe?
  • Oct 12, 2010, 01:20 PM
    DrBob1
    This is to show you how large Avogadro's number really is.
    Sixty seconds in a minute, sixty minutes in an hour, 24 hours in a day, 365.25 days in a year equals, call it 3.16 x 10^7 seconds. So it will take only 2 x 10^16 years. I don't think I'll wait!
  • Oct 13, 2010, 06:29 AM
    Unknown008
    I'm not sure what you're looking for, but I'm taking your "take a number, multiply it by itself, take that result and multiply it by itself again and again".


    The number of atoms counted after t seconds will be:



    Check it. After 2 seconds, we have (2x2) = 4
    Then multiply that by itself, giving 16.



    3 seconds, 16x16 = 256



    4 seconds 256 x 256 = 65536



    Ok, the equation is good.

    In 1 gram of H atoms, there are 6.02x10^23 atoms.







    Hmm, it takes only 6.3 seconds :rolleyes:

    And the larger you get, the less number of atoms you have...


    Now, taking a million atoms a second, you will have

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