What is the density of an element (At. mass 1 | vedclass

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(C) For a $BCC$ unit cell,the number of atoms per unit cell,$Z = 2$.The edge length $a = 400 \ pm = 400 	imes 10^{-10} \ cm = 4 	imes 10^{-8} \ cm$.

Vedclass · Accepted Answer

$5.18$

Vedclass · Answer

(C) For a $BCC$ unit cell,the number of atoms per unit cell,$Z = 2$.The edge length $a = 400 \ pm = 400 	imes 10^{-10} \ cm = 4 	imes 10^{-8} \ cm$.The molar mass $M = 100 \ g \ mol^{-1}$.The density $d$ is given by the formula: $d = \frac{Z 	imes M}{N_A 	imes a^3}$.Substituting the values: $d = \frac{2 	imes 100}{6.022 	imes 10^{23} 	imes (4 	imes 10^{-8})^3}$.$d = \frac{200}{6.022 	imes 10^{23} 	imes 64 	imes 10^{-24}}$.$d = \frac{200}{6.022 	imes 64 	imes 10^{-1}} = \frac{200}{38.54} \approx 5.18 \ g \ cm^{-3}$.

What is the density of an element (At. mass $100 \ g \ mol^{-1}$) having $BCC$ structure with edge length $400 \ pm$ (in $g \ cm^{-3}$)?

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