Answer:
The density of NiO is approximately 6.830 g/cm^3.
Step by Step Explanation:
1. Calculate Molar Mass of NiO:
Molar mass of NiO = Molar mass of Ni + Molar mass of O
= 58.69 g/mol + 16.00 g/mol = 74.69 g/mol
2. Calculate Volume of the Unit Cell:
V = (417.2 pm)^3 = (4.172 × 10^-8 cm)^3
= 7.940454768 × 10^-23 cm^3
3. Calculate Mass of the Unit Cell:
Since the formula unit of NiO is NiO, the mass of the unit cell is the same as the molar mass of NiO:
Mass of NiO unit cell = 74.69 g/mol
4. Calculate Density:
D = Mass of NiO unit cell / Volume of NiO unit cell
= 74.69 g/mol / 7.940454768 × 10^-23 cm^3
≈ 6.830 g/cm^3
Thus, the density of NiO is approximately 6.830 g/cm^3.