Question

The element Sc has hcp packing with a hexagonal unit cell. The density of Sc is 3000 kg/m3. Calculate the volume (L) of the unit cell of Sc.

Sc Molar Mass =44.956
It is hcp, so it has 2 atoms/unit cell. I would appreciate any help with this problem! Thank you in advance!

Answer 1

there are 1000 L in a cubic metre

so the density is 3000 g/L

the molar mass is 44.956 g

so one L contains
... 3000 / 44.956 moles

the number of unit cells is half the number of atoms

the volume is ...
1 L / [(3000 / 44.956) * 6.02E23 / 2]