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MHT CET202618 April 2026Morning ShiftChemistrySolid StateActual

Calculate the void volume in fcc unit cell if total volume of a unit cell is 6.4 10⁻²³ cm ^3 ?

Options

  1. A3.172 10⁻²³ cm ^3
  2. B3.911 10⁻²³ cm ^3
  3. C1.664 10⁻²³ cm ^3
  4. D2.051 10⁻²³ cm ^3

Correct answer

C. 1.664 10⁻²³ cm ^3

Step-by-step solution

The packing efficiency of a face-centered cubic (fcc) unit cell is 74 % . The percentage of void space in the fcc unit cell is 100 % - 74 % = 26 % . Given the total volume of the unit cell is V = 6.4 10⁻²³ cm ^3 . Void volume = 0.26 V Void volume = 0.26 6.4 10⁻²³ cm ^3 = 1.664 10⁻²³ cm ^3 Answer: 1.664 10⁻²³ cm ^3

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