Sodium (Na = 23) crystallizes in a bcc arrangement with the interfacial separation between the atoms at the edge 53.6pm. The density of sodium crystal is:
Correct answer: D. None of these
- A. 2.07 g/cc
- B. 2.46 g/cc
- C. 1.19 g/cc
- D. None of these
Explanation
Sodium (Na) has a body-centered cubic (BCC) structure.Given interatomic distance = 53.6 pm, this is not the unit cell edge length.In BCC, edge length a=2×distance/sqr3 so a is about 62 pm.Calculate density using formula:density=mass of atoms in unit cell / volume of unit cellThis calculation gives a density much less than the options provided.Real sodium density is about 0.97 g/cm³, less than all given options.So, the correct choice is "None of these" because none match the expected or calculated density.
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