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MHT CET202522 Apr 2025Morning ShiftChemistrySolid StateActual

Calculate the number of unit cell in 1 ~cm ^3 volume of metal if volume of unit cell is 3.448 10⁻²³ ~cm ^3

Options

  1. A2.5 10²²
  2. B3.2 10²²
  3. C2.9 10²²
  4. D3.7 10²²

Correct answer

C. 2.9 10²²

Step-by-step solution

The number of unit cells in a given volume equals the total volume divided by the volume of one unit cell: 1 cm ^3 3.448 10⁻²³ cm ^3 = 1 3.448 10²³ 0.29002 10²³ Converting to standard scientific notation gives 2.9002 10²² , which rounds to 2.9 10²² . This result corresponds to option C .

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