Calculate the molar mass of an element having density $5.6 \mathrm{~g} \mathrm{~cm}^{-3}$ that forms bcc structure. $\left[\mathrm{a}^3 imes \mathrm{N}_{\mathrm{A}}=75 \mathrm{~cm}^3 \mathrm{~mol}^{-1} ight]$

Question

Calculate the molar mass of an element having density $5.6 \mathrm{~g} \mathrm{~cm}^{-3}$ that forms bcc structure. $\left[\mathrm{a}^3 	imes \mathrm{N}_{\mathrm{A}}=75 \mathrm{~cm}^3 \mathrm{~mol}^{-1}ight]$

Aicharya · Accepted Answer

For bcc unit cell, $\mathrm{n}=2$. $\begin{aligned} & 	ext { Density }(ho)=\frac{M 	imes n}{a^3 	imes N_A} \ & 5.6 \mathrm{~g} \mathrm{~cm}^{-3}=\frac{M 	imes 2}{75 \mathrm{~cm}^3 \mathrm{~mol}^{-1}} \ & M=\frac{5.6 	imes 75}{2}=210 \mathrm{~g} \mathrm{~mol}^{-1} \end{aligned}$

Calculate the molar mass of an element having density $5.6 \mathrm{~g} \mathrm{~cm}^{-3}$ that forms bcc…

Solution