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MHT CET202122 Sep 2021Evening ShiftChemistrySolid StateActual

How many atoms of niobium are present in 2.43 ~g if it forms bcc structure with density 9 ~g ~cm ⁻³ and volume of unit cell 2.7 10⁻²³ ~cm ^3 ?

Options

  1. A3.01 10²³
  2. B4.1 10²²
  3. C5.0 10²²
  4. D2.0 10²²

Correct answer

D. 2.0 10²²

Step-by-step solution

Let number of atoms are N Mass of one atom =2.43 / N d = Z mass of one atom Volume of unit cell [ Z =2 for BCC ] 9= 2 2.43 / N 2.7 10⁻²³ ~N = 2 2.43 2.7 10⁻²³ 9 =2 10²²

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