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JIPMER2018ChemistrySolid State

An atom forms face centred cubic crystal with density d =8.92 ~g / mL and edge length a =3.6 10⁻⁸ ~cm . The molecular mass of atom in amu is

Options

  1. A98 amu
  2. B63 amu
  3. C32 amu
  4. D93 amu

Correct answer

B. 63 amu

Step-by-step solution

Given, Density ( d )=8.92 ~g / mL Edge length ( a )=3.6 10⁻⁸ ~cm Z =4 (fcc) The molecular mass of atom in a lattice can be calculated by using the formula aligned & d = Z M N ₀ a ^3 & M = dN ₀ a ^3 Z & M= 8.92 6.023 10²³ (3.6)^3 (10⁻⁸ )^3 4 & M=62.6 63 amu & aligned

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