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KVPY2016ChemistrySolid State

Copper (atomic mass =63.5 ) crystallizers in a FCC lattice and has density 8.93 ~g . cm ⁻³ . The radius of copper atom is closest to

Options

  1. A361.6 pm
  2. B511.4 pm
  3. C127.8 pm
  4. D102.8 pm

Correct answer

C. 127.8 pm

Step-by-step solution

d = N M N _ A a ³ 8.93= 4 63.5 6.023 10²³ a ³ a ³=4.72 10⁻²³ a = (47.2 10⁻²⁴ )^ 1 / 3 =3.61 10⁻⁸ ~cm =3.61 10⁻¹⁰ ~m =361 pm force a =2 2 r r = a 2 2 =127.8

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