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Metal M crystallizes into a fcc lattice with the edge length of 4.0 × 10⁻⁸ cm. The atomic mass of the metal is ______ g/mol. (Nearest integer) [Use: Na = 6.02 × 10²³ mol⁻¹, density of metal, M = 9.03 g cm⁻³]

1. 87
2. 8.7
3. 870
4. 0.87

Correct answer: 87

Solution

The atomic mass can be calculated using the formula: atomic mass = density × molar volume. For a face-centered cubic (fcc) lattice, the molar volume can be derived from the edge length and the number of atoms per unit cell, leading to the correct calculation that results in approximately 87 g/mol.

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