Question

A metal crystallizes face-centered cubic lattice with the edge length of $450pm$. Molar mass of the metal is $50gmo{l}^{-1}$. The density of metal will be:

• A. $2.64gc{m}^{-3}$
• B. $3.64gc{m}^{-3}$
• C. $4.64gc{m}^{-3}$
• D. $2.68gc{m}^{-3}$

Answer 1

Answer: (B)

$3.64gc{m}^{-3}$

$Density\left(\rho \right)=\frac{ZM}{a^3\times N_A}=\frac{4\times 50}{(450\times {10}^{-10}{)}^3\times 6.023\times {10}^{23}}$ $=3.64gc{m}^{-3}$.