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AP EAMCET202124 Aug 2021Morning ShiftChemistrySolid StateActual

How many unit cells are present in a cube shaped ideal crystal of NaCl of mass lg?

Options

  1. A5.14 10²¹
  2. B1.28 10²⁴
  3. C1.71 10²¹
  4. D2.5 10²¹

Correct answer

D. 2.5 10²¹

Step-by-step solution

Molar mass of NaCl =58.5 lg of NaCl = 1 58.5 mole of NaCl 1 ~g of NaCl = 1 58.5 6.022 10²³ molecules of NaCl 4 molecules of NaCl are present as Cl ⁻ present occupy fcc lattice =4 ions of Cl ⁻ occupy Na ⁺ octahedral site =4 ions of Na ⁺ 1 unit cell contain 4 molecules of NaCl 1 molecule contain 1 4 unit cell. 1 58.5 6.022 10²³ molecule contains = 1 58.5 6.022 10²³ 4 unit cell Thus, 1 ~g of NaCl contain =2.57 10²¹ unit cell.

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