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MHT CET202620 April 2026Evening ShiftChemistrySolid StateActual

A metal has a fcc structure if the edge length of unit cell is 200 pm, calculate the volume occupied by particles in a unit cell.

Options

  1. A2.08 10⁻²⁴ cm ^3
  2. B5.92 10⁻²⁴ cm ^3
  3. C8 10⁻²⁴ cm ^3
  4. D3.14 10⁻²⁴ cm ^3

Correct answer

B. 5.92 10⁻²⁴ cm ^3

Step-by-step solution

Edge length of the unit cell, a = 200 pm = 2 10⁻⁸ cm Volume of the unit cell, V = a^3 = (2 10⁻⁸)^3 = 8 10⁻²⁴ cm ^3 For a face-centered cubic (fcc) structure, the packing efficiency is 74 % . Volume occupied by particles in the unit cell = 0.74 V = 0.74 8 10⁻²⁴ cm ^3 = 5.92 10⁻²⁴ cm ^3 Answer: 5.92 10⁻²⁴ cm ^3

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