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Density of a unit cell is the same as the density of the substance. So, if the density of the substance is known, we can calculate the number of atoms or dimensions of the unit cell. The density of the unit cell is related to its mass \( (M) \), number of atoms per unit cell \( (z) \), edge length ( \( a \) in \( \mathrm{cm}) \), and Avogadro's constant \( N_{\mathrm{A}} \) as:
\[
\rho=\frac{z \times M}{a^{3} \times N_{\mathrm{A}}}
\]
The number of atoms present in \( 100 \mathrm{~g} \) of a bcc crystal \( \left(\right. \) density \( \left.=12.5 \mathrm{~g} \mathrm{~cm}^{-3}\right) \) having cell edge \( 200 \mathrm{pm} \) is
(A) \( 1 \times 10^{25} \)
(B) \( 1 \times 10^{24} \)
(C) \( 2 \times 10^{24} \)
(D) \( 2 \times 10^{26} \)
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