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MHT CET Chemistry Solid State 2026 MHT CET 2026 (18 April Shift 1)

MHT CET Chemistry Question (2026) — Solution

Question

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

Options

  1. A. 3.172 10^ -23 \ cm ^3
  2. B. 3.911 10^ -23 \ cm ^3
  3. C. 1.664 10^ -23 \ cm ^3
  4. D. 2.051 10^ -23 \ cm ^3

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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