The radius of a uranium atom is 149 pm. How many uranium atoms would have to be laid side by side to span a distance of 1.66 mm?

Respuesta :

Given :

Radius of uranium atom , [tex]R=149\ pm = 149\times 10^{-12}\ m[/tex] .

To Find :

How many uranium atoms would have to be laid side by side to span a distance of 1.66 mm .

Solution :

Diameter of uranium atom :

[tex]D=2r=2\times 149\times 10^{-12}\ m\\\\D=298\times 10^{-12}\ m[/tex]

Number of atoms are :

[tex]n=\dfrac{D}{d}\\\\n=\dfrac{1.66\times 10^{-3}\ m}{ 298\times 10^{-12}\ m}\\\\n=5.57\times 10^{6}[/tex]

Hence , this is the required solution .