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MHT CET202523 Apr 2025Morning ShiftChemistrySolid StateActual

Calculate the volume occupied by all particles in bcc unit cell if the volume of unit cell is 8.0 10⁻²³ ~cm ^3

Options

  1. A3.19 10⁻²³ ~cm ^3
  2. B2.72 10⁻²³ ~cm ^3
  3. C5.44 10⁻²³ ~cm ^3
  4. D1.48 10⁻²³ ~cm ^3

Correct answer

C. 5.44 10⁻²³ ~cm ^3

Step-by-step solution

The packing efficiency for a body-centered cubic structure is 0.68 , representing the fraction of the unit cell volume occupied by atoms. Given the total unit cell volume of 8.0 10⁻²³ cm ^3 , the occupied volume is therefore 0.68 8.0 10⁻²³ = 5.44 10⁻²³ cm ^3 . This corresponds to option C .

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