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NTA Abhyas JEE Main2020ChemistrySolid StatePractice

Calculate the number of unit cells present in a cube-shaped ideal crystal of N a C l of mass 1.00 g [Atomic masses: N a = 23 , C l = 35.5 ]

Options

  1. A2.57 × 1 0 21 unit cells
  2. B5.14 × 1 0 21 unit cells
  3. C1.28 × 1 0 21 unit cells
  4. D1.71 × 1 0 21 unit cells

Correct answer

A. 2.57 × 1 0 21 unit cells

Step-by-step solution

Number of NaCl unit in one gram = 1 58.5 × 6.023 × 1 0 23 = 1.029 × 1 0 22 A unit cell contains 4 N a + ion and 4 C l - ions Unit cell = 1.029 × 1 0 22 4 = 2.57 × 1 0 21 unit cell

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