ï»¿ An element E crystallizes in body centred cubic structure. If the edge length of the cell is 1.469 x 10–10 m and the density is 19.3 g cm–3, calculate the atomic mass of this element. Also calculate the radius of this element. from Chemistry The Solid State Class 12 Nagaland Board

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An element E crystallizes in body centred cubic structure. If the edge length of the cell is 1.469 x 10–10 m and the density is 19.3 g cm–3, calculate the atomic mass of this element. Also calculate the radius of this element.

Solution:
We have given that
Z= 2 since it is bcc structure
edge length, a = 1.469 x 10-10
Density, d= 19.3 g cm-3
Mass = ?

mass of element is 18.4g mol-1

(ii) Cell edge,

$\mathrm{a}=1.469×{10}^{-10}\mathrm{m}$

Body diagonal = 4R

Then 4R = $\sqrt{39}$

or

Radius of element is 6.4 x 10-11m.
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