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The pycnometric density of sodium chloride crystal is 2.165 × 10³ kg m⁻³ while its X-ray density is 2.178 × 10³ kg m⁻³. The fraction of unoccupied sites in sodium chloride crystal is

1. 5.96 × 10⁻³
2. 5.96
3. 5.96 × 10⁻²
4. 5.96 × 10⁻¹

Correct answer: 5.96 × 10⁻³

Solution

The fraction of unoccupied sites is calculated using the formula: (X-ray density - Pycnometric density) / X-ray density. Substituting the given values, (2.178 × 10³ - 2.165 × 10³) / 2.178 × 10³ = 5.96 × 10⁻³.

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