A metal crystallizes in a bcc unit cell having unit cell volume 2.5 10⁻²³ cm ^3 . Find the number of unit cells in 18 g metal if the density of metal is 7.2 g cm ⁻³ .

Step-by-step solution

Total volume of the metal is given by the ratio of mass to density. V_ total = Mass Density = 18 7.2 = 2.5 cm ^3 The number of unit cells is the total volume divided by the volume of one unit cell. Number of unit cells = V_ total V_ unit cell = 2.5 2.5 10⁻²³ = 1.0 10²³ Answer: 1.0 10²³