Question

Assume a substance X has a body centered cubic lattice. The edge length is 379.0 pm. The atomic mass of X is 195.0 amu What is the density of Xin g/cc

Answer 1

Answer:

$\rho=12g/cm^3$

Explanation:

From the question we are told that:

Length$l=379.0pm=>379*10^{-10}cm$

Atomic mass of X $M= 195.0 amu=>gmol^{-1}$

Where

$Avogadro\ constant = 6.023 * 10^{23} mol-1$

Let

The Number of units in BCC unit cell $n= 2$

Generally the equation for Density is mathematically given by

$\rho= \frac{M x n}{l^3*Avogadro constant}$

$\rho=\frac{197 x 2}{(379*10^{-10})^3*6.023 x 10^{23}}$

$\rho=12g/cm^3$

Therefore he density of Xin g/cc

$\rho=12g/cm^3$