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MHT CET202521 Apr 2025Morning ShiftChemistrySolid StateActual

Calculate the total number of tetrahedral and octahedral voids in 0.4 mol compound having such voids in it.

Options

  1. A2.4088 10²³
  2. B7.2264 10²³
  3. C4.8176 10²³
  4. D9.6352 10²³

Correct answer

B. 7.2264 10²³

Step-by-step solution

The total number of voids in a close-packed structure depends on the number of constituent particles. For N particles, there are N octahedral voids and 2 N tetrahedral voids, giving a total of 3 N voids. With 0.4 mol of the compound, the number of particles is N = 0.4 6.022 10²³ = 2.4088 10²³ . The total void count is therefore 3N = 3 2.4088 10²³ = 7.2264 10²³ , corresponding to option B .

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