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A solid having density of 9 × 10³ kg m⁻³ forms face centred cubic crystals of edge length 200√2 pm. What is the molar mass of the solid? [Avoogadro number ≅ 6 × 10²³ mol⁻¹, π ≅ 3]

1. 0.0305 kg mol⁻¹
2. 0.4320 kg mol⁻¹
3. 0.0216 kg mol⁻¹
4. 0.0432 kg mol⁻¹

Correct answer: 0.0305 kg mol⁻¹

Solution

The correct option is derived by calculating the volume of the unit cell from the edge length, determining the mass of the unit cell using the given density, and then using Avogadro's number to find the molar mass. The calculations confirm that the molar mass of the solid is 0.0305 kg mol⁻¹.

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