The cubic unit cell of a metal (molar mass =63.55 ~g ~mol ⁻¹ ) has an edge length of 362 pm . Its density is 8.92 ~g ~cm ⁻³ . The type of unit cell is

Step-by-step solution

Density, d= M Z N₀ a^3 where, Z= number of atoms in unit cell aligned Z & = d N₀ a^3 M & = 8.92 6.023 10²³ (362 10⁻¹⁰ )^3 63.55 & =4.0 aligned Thus, metal has face centred unit cell.