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MHT CET202415 May 2024Evening ShiftChemistrySolid StateActual

Unit cell of an element has edge length of 5 Å with density 4 ~g ~cm ⁻³ , if its atomic mass is 149 , identify the crystal structure.

Options

  1. ASimple cubic close packed
  2. BBody centred cubic
  3. CFace centred cubic
  4. DHexagonal close packed

Correct answer

B. Body centred cubic

Step-by-step solution

aligned & Density ( )= n M a^3 N_A & n= N_A a^3 M & = 4 gcm ⁻³ 6.022 10²³ ~mol ⁻¹ (5 10⁻⁸ ~cm )^3 149 ~g ~mol ⁻¹ & 301.1 149 n =2.02 2 aligned Thus, it is a bcc crystal structure.

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