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MHT CET20226 Aug 2022Evening ShiftChemistrySolid StateActual

Calculate the number of unit cells in 3 grams metal that crystallises to simple cubic unit cell having edge length 336 pm . (density of metal =9.4 ~g ~cm ⁻³ )

Options

  1. A8.41 10²¹
  2. B6.25 10²¹
  3. C7.15 10²¹
  4. D5.82 10²¹

Correct answer

A. 8.41 10²¹

Step-by-step solution

d = Z M V N _ A aligned & 9.4= 1 M (3.36 10⁻⁸ )^3 6.02 10²³ & M=214.6 ~g / mol aligned aligned Number of moles atoms & = 3 214.6 & =0.01397 Number of atoms & =0.01397 6.02 2 10²³ & =8.41 10²¹ aligned

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