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An element crystallizes in a body-centered cubic lattice. The edge of the unit cell is 3.28...

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Chemistry

An element crystallizes in a body-centered cubic lattice. Theedge of the unit cell is 3.28 Ã… in length, and the density of thecrystal is 6.50 g/cm3 .

a.) Calculate the atomic weightof the element.

Answer & Explanation Solved by verified expert
4.2 Ratings (663 Votes)

Since, edge of the unit cell is 3.28 Ã…

volume of the unit cell = 3 x 3.28 x 10-8 cm3

= 9.84 x 10-8 cm3

Given that density of cell = 6.50 = weight of the cell/ volume of the cell

Hence, weight of the cell = 6.5 x (9.84 x 10-8)

                                                = 63.96 x 10-8g

But in body cantered cubic lattice contain two atoms each

Hence atomic weight = weight of the unit cell / 2

                                                = 31.98 x 10-8 g
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