We know that the density of the element is given by:
ρ=Where:
*
ρ is the density of the element
*
Z is the number of atoms per unit cell (for
bcc,z=2 )
*
M is the molar mass of the element
*
NA is Avogadro's number
6.022×1023mol−1,
*V is the volume of the unit cell
We are given:
*ρNA=4.8×1024gcm−3mol−1*M=56gmol−1 Substituting these values into the equation above, we get:
V==| 2×56gmol−1 |
| 4.8×1024gcm−3mol−1 |
=2.33×10−23cm3Therefore, the volume of the unit cell is
2.33×10−23cm3. So the correct answer is Option
D.