Calculate the number of unit cells in 0.79 g metal if product of density and volume of unit cell is 1.58 10⁻²² ~g

Step-by-step solution

The total mass of metal is given as m_ total = 0.79 g , while the product of density and volume yields the mass of one unit cell as m_ unit cell = 1.58 10⁻²² g . The number of unit cells is computed by dividing total mass by unit cell mass: N = 0.79 1.58 10⁻²² = 0.79 1.58 10²² = 0.5 10²² = 5.0 10²¹ Final answer: 5.0 10²¹ , which corresponds to option D.