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Q)

An element crystallizes in the simple cubic structure.Its density is $8gcm^{-3}$ and its 200g contains $24\times 10^{23}$ atoms.Calculate the edge length.

$\begin{array}{1 1}218pm\\318pm\\618pm\\418pm\end{array} $

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A)
$z=1$ for simple cubic
$M = 200g$
$N=24\times 10^{23}$ atoms
$a$=?
$d=8gcm^{-3}$
$a^3=\large\frac{z\times M}{d\times N}$
$\Rightarrow \large\frac{1\times 200}{8\times 24\times 10^{23}}$
$a^3=10.41\times 10^{-24}cm^3$
$a=2.18\times 10^{-8}\times 10^{10}pm$
$a=218pm$
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