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If the diameter of a carbon atom is 0.15nm, calculate the weight of carbon when atoms are placed side by side across the length of 10^4 km




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Diameter of a Carbon atom = 0.15 * 10⁻⁹ meter
We assume that the carbon we are talking about is C 12 isotope.

Total number of atoms that fit along 10,000 km length:  
  n  = 10,000 *10³ / 0.15 * 10⁻⁹ = 6.667 * 10¹⁶

There are Avogadro number of atoms (molecules) in a mole of any substance.  One mole of carbon 12 has a molar mass M of 12 grams.  Avogadro number N is 6.023 * 10²³.   The mass of the carbon atoms is 1

Mass = n * M / N = 13.28 * 10⁻⁷ gm = 1.328 * 10⁻⁶ gm

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