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JEE Main20199 Jan 2019Evening ShiftChemistrySolid StateActual

At 100 o C , copper C u has F C C unit cell structure with cell edge length of x Å . What is the approximate density of C u (in g c m - 3 ) at this temperature? A t o m i c M a s s o f C u = 63.55 u

Options

  1. A105 x 3
  2. B205 x 3
  3. C422 x 3
  4. D211 x 3

Correct answer

C. 422 x 3

Step-by-step solution

Crystal structure is F C C, so number of atoms per unit cell N = 4 Edge length = x . Å = x   10 - 8   c m 3 Density ZM N A a 3 = 4 × 63 .5 6 .03 × 10 23 x × 10 - 8 3 gm / cm 3 = 4 × 63.5 6.0 × x 3 × 10 - 1 = 422 x 3 g m / c m 3 = 422 x 3

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