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jek_recluse [69]
2 years ago
13

Metallic barium crystallizes in a body-centered cubic lattice, with one Ba atom per lattice point. If the metallic radius of Ba

is 217 pm, what is the volume of the unit cell in pm3 and in cm3?
Chemistry
1 answer:
Tema [17]2 years ago
3 0

Answer:

1.26 x 10⁸pm³ and 1.26 x 10⁻²²cm³

Explanation: Calculating for a body centered cubic lattice, the formula is

3d²= 16r²

where d =  edge length of unit cell

r=radius of atom

3d²= 16 x (217)²

3d²=753424

d²=251141.3

d= 501.1pm

volume of unit cell= d³= (501.1)³= 1.26 x 10⁸pm³

converting to cm³= 1.26 x 10⁸(10⁻¹²m)³

=1.26 x 10⁸(10⁻¹⁰cm)³ = 1.26 x 10⁻²²cm³

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Precision has to do with how close together the values obtained from a scientific measurement is. If we take a look at the values obtained by  Rachel’s group, we will notice that the values are exactly 1.00 g apart. This means that the values are precise.

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