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MHT CET202527 Apr 2025Evening ShiftChemistrySolid StateActual

Calculate the total volume occupied by all particles in a fcc unit cell if the volume of unit cell is 5.2 10⁻²³ ~cm ^3

Options

  1. A3.848 10⁻²³ ~cm ^3
  2. B2.630 10⁻²³ ~cm ^3
  3. C3.041 10⁻²³ ~cm ^3
  4. D5.786 10⁻²³ ~cm ^3

Correct answer

A. 3.848 10⁻²³ ~cm ^3

Step-by-step solution

FCC unit cell packing efficiency determines the volume fraction occupied by atomic spheres. For FCC, the packing efficiency is 0.74 . Given the unit cell volume is 5.2 10⁻²³ cm ^3 , the occupied volume is calculated as 0.74 5.2 10⁻²³ = 3.848 10⁻²³ cm ^3 . The correct answer is 3.848 10⁻²³ cm ^3 .

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