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MHT CET202525 Apr 2025Evening ShiftChemistrySolid StateActual

Calculate the total volume occupied by all particles in fcc unit cell if volume of unit cell is 6.4 10⁻²³ ~cm ^3

Options

  1. A3.321 10⁻²³ ~cm ^3
  2. B4.350 10⁻²³ ~cm ^3
  3. C5.126 10⁻²³ ~cm ^3
  4. D4.736 10⁻²³ ~cm ^3

Correct answer

D. 4.736 10⁻²³ ~cm ^3

Step-by-step solution

Total volume occupied by particles in an FCC unit cell is determined using the packing efficiency formula: Packing efficiency = Volume occupied by particles Volume of unit cell For FCC structures, the packing efficiency is known to be 0.74. With unit cell volume 6.4 10⁻²³ cm³, the occupied volume becomes: 0.74 6.4 10⁻²³ = 4.736 10⁻²³ cm³ This matches option D, confirming the result.

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