Verified Answer :

To determine the number of potassium laid side by side by a given distance, we simply divide the total distance to the diameter of each atom. The diameter is twice the radius of the atom. We calculate as follows:

number of atoms = 4770 / 231x10^-12 = 2.06x10^13 atoms

Answer:

2.06×\(10^{10}\) atoms

Explanation:

The radius of potassium atoms= 231 pm

convert parts per million into m i.e, by multiplying by \(10^{-6}\)

= 231×\(10^{-6}\)

Potassium atoms would have to laid down at a distance apart= 4.77 mm

convert millimeter into meter i.e, by multiplying by \(10^{-6}\)

= 4.77 ×\(10^{-6}\)

Now, we have to find the number of potassium atoms,

Number of potassium atoms=\(\frac{4.77 . 10^{-6} }{231.10^{-6} }\)

Number of potassium atoms=2.06×\(10^{10}\)

Number of potassium atoms=  2.06×\(10^{10}\) atoms

Hence, the correct answer is  2.06×\(10^{10}\) atoms