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The radius of a sodium atom is determined as 2.145 x 10⁻⁸ cm.

What is body-centered cubic unit cell?

Body-centered cubic (BCC) is the name given to a type of atom arrangement found in nature.

A body-centered cubic unit cell structure consists of atoms arranged in a cube where each corner of the cube shares an atom and with one atom positioned at the center.

Volume of the sodium atom

The volume of the sodium atom is calculated as follows;

V = ZM/Nρ

where;

  • Z is 2 for  a body-centered cubic unit cell
  • M is mass of sodium atom = 23 g/mol
  • ρ is density of sodium atom
  • N is Avogadro's number

V = (2 x 23) / (6.023 x 10²³ x 0.968)

V = 7.89 x 10⁻²³ cm³

Edge length of the unit cell

a = (V)^¹/₃

a = (7.89 x 10⁻²³ cm³)^¹/₃

a = 4.29 x 10⁻⁸ cm

Radius of the unit cell

r = a/2

r = ( 4.29 x 10⁻⁸ cm) / 2

r = 2.145 x 10⁻⁸ cm

Thus, the radius of a sodium atom is determined as 2.145 x 10⁻⁸ cm.

Learn more about sodium atom here: https://brainly.com/question/25033306

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