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MHT CET202120 Sep 2021Evening ShiftChemistrySolid StateActual

An element (molar mass 180) has BCC crystal structure with density 18 ~g ~cm ⁻³ . What is the edge length of unit cell?

Options

  1. A[3] 23.2 10⁻²⁴ ~cm
  2. B[3] 12.6 10⁻²⁴ ~cm
  3. C[3] 33.2 10⁻⁸ ~cm
  4. D[3] 22.6 10⁻⁸ ~cm

Correct answer

C. [3] 33.2 10⁻⁸ ~cm

Step-by-step solution

M =180 ~g ~mol ⁻¹, =18 ~g ~cm ⁻³ , For BCC crystal, z =2, a = ? aligned & = M z a^3 N_A a^3= M z N_A & a^3= 180 ~g ~mol ⁻¹ 2 atom 18 ~g ~cm ⁻³ 6.022 10²³ atom mol & a^3=33.2 10⁻²⁴ ~cm ^3 & a= 33.2 10⁻⁸ ~cm aligned

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