When silver crystallizes, it forms face centered cubic cells, if the volume of unit cells 6.84 10⁻²³ cm ^3 . Calculate the density of silver. (Molar mass of silver is 108 g/mol, N_A = 6.022 10²³ )

Step-by-step solution

For a face-centered cubic (fcc) unit cell, the number of atoms per unit cell is Z = 4 . The density of the unit cell is given by the formula: d = Z M N_A V Substituting the given values: d = 4 108 6.022 10²³ 6.84 10⁻²³ d = 432 41.19 d = 10.49 gm cm ⁻³ Answer: 10.49 gm cm ⁻³