Paper thickness varies. Typically, 100 sheets are about a cm thick. Atoms typically vary from 1 to 3 angstroms in radius. (An angstrom is 10-10 m.) Suppose a piece of paper is 0.0072 cm thick. How many atoms span the thickness if the radius of the atom is 1.23 angstroms

Respuesta :

Answer:

[tex]292683[/tex]

Explanation:

Thickness of a piece of paper = 0.0072 cm

Radius of an atom = [tex]1.23\ \AA[/tex]

Conversion factor of [tex]\AA[/tex] to [tex]\text{cm}[/tex] is

[tex]1\ \AA=1\times 10^{-10}\ \text{m}=1\times 10^{-8}\ \text{cm}[/tex]

Diameter of an atom = [tex]2\times 1.23\times 10^{-8}=2.46\times 10^{-8}\ \text{cm}[/tex]

Number of atoms in one piece of paper is

[tex]\dfrac{0.0072}{2.46\times 10^{-8}}=292682.92\approx 292683[/tex]

Hence, the number of atoms in one piece of paper is [tex]292683[/tex].