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JEE Main201911 Jan 2019Morning ShiftChemistrySolid StateActual

A solid having density of 9 10³ ~kg ~m ⁻³ forms face centred cubic crystals of edge length 200 2 pm . What is the molar mass of the solid? [Avogadro constant . 6 10²³ ~mol ⁻¹, 3 ]

Options

  1. A0.0432 ~kg ~mol ⁻¹
  2. B0.0216 ~kg ~mol ⁻¹
  3. C0.0305 ~kg ~mol ⁻¹
  4. D0.4320 ~kg ~mol ⁻¹

Correct answer

C. 0.0305 ~kg ~mol ⁻¹

Step-by-step solution

Density = Z M N_ A a³ 9 10³= 4 M (200 2 10⁻¹² )³ 6 10²³

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