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Solid nickel oxide has the same kind of crystal structure as NaCl which is pictured below: If the edge length of the unit cell is 417.2 pm, what is the density of NiO in g/cm3. g/cm3

Respuesta :

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.

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