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The density of solid Cr is 7.15 g/cm3. How many atoms are present per cubic centimeter of Cr?
As a solid, Cr adopts a body-centered cubic unit cell. How many unit cells are present per cubic centimeter of Cr?

Respuesta :

We have that the unit cells present per cubic centimeter of Cr is mathematically given as

Le=2.89*10^-8 cm

Know

  • 1/8*8 of the atom at every nook (=1) and one full atom at the centre (=1). The mass of one chromium atom is fifty two amu = 8.63*10^-23 g.
  • The mass of two chromium atoms is twice that, 1.73*10^-22 g.

Density

Generally the equation for the  Volume  is mathematically given as

[tex]7.15 g/cm^3 = (1.73*10^-22 g)/V\\\\ V = 2.42*10^-23 cm^3[/tex]

Therefore

The area size of a unit cell is the dice root of the volume, which is

[tex]Le=^3\sqrt{2.42*10^-23 cm^3 }[/tex]

Le=2.89*10^-8 cm

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