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MHT CET20225 Aug 2022Morning ShiftChemistrySolid StateActual

Calculate the molar mass of metal having density 22.24 ~g ~cm ⁻³ , crystallizes to form unit cell containing 4 particles. ( a ^3=5.6 10⁻²³ ~cm ^3 )

Options

  1. A280.2 ~g ~mol ⁻¹
  2. B140 ~g ~mol ⁻¹
  3. C210.6 ~g ~mol ⁻¹
  4. D187.4 ~g ~mol ⁻¹

Correct answer

D. 187.4 ~g ~mol ⁻¹

Step-by-step solution

d = Z M V N _ A = 4 M 5.6 10⁻²³ 6.02 10²³ or 22.24= 4 M 5.6 6.02 M =187.43 ~g / mol

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