The unit cell of copper corresponds to a face centered cube

Question

The unit cell of copper corresponds to a face centered cube of edge length 3.596 mathop Alimits^o with one copper atom at each lattice point. The calculated density of copper in kg/m^(3) is ___________. [Molar mass of Cu : 63.54 g; Avogadro Number = 6.022 x 10^(23)]

DivineJEE · Accepted Answer

Density of copper, d = Z x M / a^3 x N_A Given, Z = 4, for fcc lattice, M = 63.54 g mol^(-1) = 63.54 x 10^(-3) kg mol^(-1), a = 3.596 mathop Alimits^o = 3.596 x 10^(-10) m, N_(A) = 6.022 x 10^(23) mol^(-1) On putting given values, we get => d = 4 x (63.54 x 10^ - 3) / (3.596 x 10^ - 10)^3 x (6.022 x 10^23) kg/m^(3) = 9076.26 = 9077 kg/m^(3)

Explanation

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