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MHT CET202014 Oct 2020Evening ShiftChemistrySolid StateActual

An element crystallises in a fcc lattice with cell edge 250 pm . Calculate the density of an element (at.mass =90 3 )

Options

  1. A23 12 ~g ~cm ⁻³
  2. B19 20 ~g ~cm ⁻³
  3. C48 40 ~g ~cm ⁻³
  4. D38.40 ~g ~cm ⁻³

Correct answer

D. 38.40 ~g ~cm ⁻³

Step-by-step solution

a =250 pm =2.5 10⁻⁸ ~cm M =90.3 ~g ~mol ⁻¹, n =4( for fcc cell ) = n M a³ N_ A = 4 90.3 (2.5 10⁻⁸ )³ 6.022 10²³ =38.40 ~g ~cm ⁻³

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