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MHT CET202124 Sep 2021Evening ShiftChemistrySolid StateActual

The density of chromium metal is 7 ~g ~cm ⁻³ . If edge length of unit cell is 300 pm , identify the type of unit cell. (At. mass Cr =52 )

Options

  1. ABody centred cubic
  2. BSimple cubic
  3. CHexagonal close pack
  4. DFace centred cubic

Correct answer

A. Body centred cubic

Step-by-step solution

aligned & d = ZM N _ A a ^3 & Z = d N _ A a ^3 M & a =300 pm & a =300 10⁻¹⁰ ~cm & a =3 10⁻⁸ ~cm & = 7 6.022 10²³ (3 10⁻⁸ )^3 52 aligned Unit cell is Body centred cubic

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