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MHT CET202019 Oct 2020Evening ShiftChemistrySolid StateActual

An element crystallises in fcc type of unit cell. The volume of one unit cell is 24.99 10⁻²⁴ ~cm ³ and density of the element 7 2 ~g ~cm ⁻³ . Calculate the number of unit cells in 36 ~g of pure sample of element?

Options

  1. A2 0 10²³
  2. B2 0 10²¹
  3. C2 0 10²⁴
  4. D1 25 10²¹

Correct answer

A. 2 0 10²³

Step-by-step solution

(C) Vol. of element = Mass Density = 36 ~g 7.2 ~g ~cm ⁻³ =5 ~cm ³ No. of unit cells in 36 ~g of pure sample of element = Total Vol. of element Vol. of one unit cell = 5 ~cm ³ 24.99 10⁻²⁴ ~cm ³ =2.0 10²³

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