The diameter of a neutral helium atom is about 1 x 10^2 pm. Suppose that we could line up helium atoms side by side in contact with one another. Approximately how many atoms would it take to make the distance 1 in from end to end?

Respuesta :

Answer:

[tex]2.539\times 10^{8}[/tex] helium atoms will be needed to cover 1 inch distance.

Explanation:

Diameter of helium atom = [tex]1\times 10^2 pm[/tex]

[tex] 1 pm=10^{-12} m[/tex]

1 m = 39.3701 inch

Then in [tex]10^{-12} m=10^{-12}\times 39.3701 inch[/tex]

[tex]1 pm=10^{-12}\times 39.3701 inch[/tex]

Diameter of helium atom in inches = [tex]10^2\times 10^{-12}\times 39.3701 inch[/tex]

Let the number of helium atoms required to cover 1 inch distance be x.

Total distance = 1 inch

[tex]x\times 10^2\times 10^{-12}\times 39.3701 inch=1 inch[/tex]

[tex]x=\frac{1 inch}{10^2\times 10^{-12}\times 39.3701 inch}[/tex]

[tex]x=2.539\times 10^{8}[/tex] helium atoms

[tex]2.539\times 10^{8}[/tex] helium atoms will be needed to cover 1 inch distance.