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MHT CET202122 Sep 2021Morning ShiftChemistrySolid StateActual

What is the molar mass of metal having density 8.57 ~g ~cm ⁻³ and edge length 3.3 Å ? (Packing efficiency =68 % )

Options

  1. A63 ~g ~mol ⁻¹
  2. B93 ~g ~mol ⁻¹
  3. C29 ~g ~mol ⁻¹
  4. D39 ~g ~mol ⁻¹

Correct answer

B. 93 ~g ~mol ⁻¹

Step-by-step solution

Packing efficiency =68 % BCC unit cell aligned & Z =2, a =3.3 Å & =3.3 10⁻⁸ ~cm & ~d =8.57 ~g / cm ^3 & ~d = Z M N _ A a ^3 & M = d N _ A a ^3 Z = 8.57 6.022 10²³ (3.3 10⁻⁸ )^3 2 & M =93 ~g / mol aligned

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