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MHT CET202615 April 2026Morning ShiftChemistrySolid StateActual

Calculate the number of unit cells present in 1 g metal if the product of the density of metal and the volume of unit cell is 2.5 10⁻²² g.

Options

  1. A1.0 10²¹
  2. B2.0 10²¹
  3. C3.0 10²¹
  4. D4.0 10²¹

Correct answer

D. 4.0 10²¹

Step-by-step solution

Density of the metal is given by d = Mass of one unit cell Volume of unit cell . Mass of one unit cell = d V = 2.5 10⁻²² g. Number of unit cells in 1 g of metal = Total mass Mass of one unit cell . Number of unit cells = 1 2.5 10⁻²² = 4.0 10²¹ . Answer: 4.0 10²¹

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