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BITSAT2014ChemistrySolid StateActual

An elemental crystal has a density of 8570 ~kg / m ³ . The packing efficiency is 0.68 . The closest distance of approach between neighbouring atom is 2.86 Ã… . What is the mass of one atom approximately?

Options

  1. A93 amu
  2. B39 amu
  3. C63 amu
  4. D29 amu

Correct answer

A. 93 amu

Step-by-step solution

The packing efficiency =0.68 , means the given lattice is BCC . The closest distance of approach =2 r array l 2 r=2.86 A=a 3 or a = 2 2.86 3 =3.30 Ã… array Let atomic weight of the element = a aligned & 2 9 36 10²³ (3.3)³ 10⁻²⁴ =8.57 a &=8.57 3 (3.3)³ 0.1 &=92.39 93 amu aligned

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