A metal crystallizes in FCC crystal lattice with density 10 g/cm ^3 . The edge length of unit cell is 100 pm. The number of unit cell present in 100 g of metal is-

Step-by-step solution

Volume of the metal = Mass Density = 100 10 = 10 cm ^3 Edge length of unit cell, a = 100 pm = 10⁻⁸ cm Volume of one unit cell = a^3 = (10⁻⁸)^3 = 10⁻²⁴ cm ^3 Number of unit cells = Total volume Volume of one unit cell = 10 10⁻²⁴ = 1 10²⁵ Answer: 1 10²⁵