Calculate molar mass of an element having density $8.6 \mathrm{~g} \mathrm{~cm}^{-3}$ if it forms bcc structure $\left[\mathrm{a}^3 imes \mathrm{N}_{\mathrm{A}}=22.0 \mathrm{~cm}^3 \mathrm{~mol}^{-1} ight]$

Question

Calculate molar mass of an element having density $8.6 \mathrm{~g} \mathrm{~cm}^{-3}$ if it forms bcc structure $\left[\mathrm{a}^3 	imes \mathrm{N}_{\mathrm{A}}=22.0 \mathrm{~cm}^3 \mathrm{~mol}^{-1}ight]$

Aicharya · Accepted Answer

For bec unit cell, $\mathrm{n}=2$. $\begin{aligned} & 	ext { Density }(ho)=\frac{\mathrm{M} 	imes \mathrm{n}}{\mathrm{a}^3 	imes \mathrm{N}_{\mathrm{A}}} \ & 8.6 \mathrm{~g} \mathrm{~cm}^{-3}=\frac{\mathrm{M} 	imes 2}{22 \mathrm{~cm}^3 \mathrm{~mol}^{-1}} \ 	herefore \quad & \mathrm{M}=\frac{8.6 	imes 22}{2}=\frac{189.2}{2}=94.6 \mathrm{~g} \mathrm{~mol}^{-1} \end{aligned}$

Calculate molar mass of an element having density $8.6 \mathrm{~g} \mathrm{~cm}^{-3}$ if it forms bcc…

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