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How many gold atoms lined up in a row would fit in a one nanometer space? (assuming a covalent radius of 0.144nm each)

Question

How many gold atoms lined up in a row would fit in a one nanometer space? (assuming a covalent radius of 0.144nm each)

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Solution

To calculate how many gold atoms would fit in a one nanometer space, you would divide the total space by the size of each atom.

  1. First, convert the size of the gold atom from nanometers to meters. The covalent radius of a gold atom is 0.144 nanometers, which is equivalent to 0.144 x 10^-9 meters.
  2. Next, divide the total space (1 nanometer, or 1 x 10^-9 meters) by the size of each atom (0.144 x 10^-9 meters).
  3. The result is approximately 6.94.

So, approximately 7 gold atoms would fit in a one nanometer space.

This problem has been solved

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