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Lady_Fox [76]
2 years ago
8

Vanadium crystallizes in a body-centered cubic lattice, and the length of the edge of a unit cell is 305 pm. What is the density

of V
Chemistry
1 answer:
Anestetic [448]2 years ago
5 0

Answer:

5.96 g/cm^3

Explanation:

Corner atom = 1/8

Atoms in center = 1

Atoms in face of the cube= 1/2  

Molar mass of V = 50.94 g/mol <em>(from period table)</em>

1 mole = 6.02x10^23

<em>In BCC unit cell:</em>

(8 x 1/8)+ 1=2 per 1 unit cell

<em>Mass: </em>2(50.94g)/6.02x10^23 = 1.69x10^-22 g/unit cell

305pm=(305x10^-12m÷10^-2m) x (1mL÷1cm^3)

           = 2.837 x 10^-23 mL

<em>1pm=10^-12m</em>

<em>1cm=10^-2m</em>

<em>1mL=1cm^3</em>

<em></em>

density=mass/volume

density of V = 1.69x10^-22g÷2.837x10^-23mL

                    =5.957g/mL

                    =5.96g/cm^3

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