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ExamsNEETChemistry

Iron exhibits bcc structure at room temperature. Above 900°C, it transforms to fcc structure. The ratio of density of iron at room temperature to that at 900°C (assuming molar mass and atomic radii of iron remains constant with temperature) is:

  1. √3/√2
  2. 4√3/√2
  3. 1/2
  4. 3√3/4√2

Correct answer: √3/√2

Solution

The density ratio depends on the packing efficiency of the structures. For bcc, the packing efficiency is 68%, and for fcc, it is 74%. The ratio of densities is proportional to the ratio of packing efficiencies, which simplifies to √3/√2.

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