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MHT CET Chemistry Solid State 2026 MHT CET 2026 (17 April Shift 2)

MHT CET Chemistry Question (2026) — Solution

Question

Calculate the number of atoms in 1 g metal that forms bcc crystal structure [ a^3 = 6 6 10^ -22 g ]

Options

  1. A. 4 05 10^ 21
  2. B. 5 12 10^ 21
  3. C. 3 03 10^ 21
  4. D. 2 47 10^ 21

Answer

C. 3 03 10^ 21

Step-by-step solution

The mass of one unit cell is given by the product of its density and volume: Mass of unit cell = a^3 = 6 6 10^ -22 g For a body-centered cubic (bcc) crystal structure, the number of atoms per unit cell is Z = 2. Mass of one atom = Mass of unit cell Z = 6 6 10^ -22 2 = 3 3 10^ -22 g The number of atoms in 1 g of the metal is: Number of atoms = 1 g Mass of one atom = 1 3 3 10^ -22 = 3 03 10^ 21 Answer: 3 03 10^ 21

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