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BITSAT2018ChemistrySolid StateActual

A metallic element has a cubic lattice. Each edge of the unit cell is 2 A . and the density of metal is 25 g cm 3 . The unit cell in 200 g of metal are

Options

  1. A1 × 10 24
  2. B1 × 10 22
  3. C1 × 10 20
  4. D1 × 10 25

Correct answer

A. 1 × 10 24

Step-by-step solution

Edge length of the unit cell = 2 A . = 2 × 10 - 8   cm Volume of unit cell = 2 × 10 - 8 3 = 8 × 10 - 24   cm 3 Mass of one unit cell = volume × density = 8 × 10 - 24 × 25 Number of unit cell in 200   g of metal =  mass of the metal   mass of one unit cell  = 200 8 × 10 - 24 × 25 = 1 × 10 24

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