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MHT CET202410 May 2024Morning ShiftChemistrySolid StateActual

Calculate the volume of unit cell if an element having molar mass 92 ~g ~mol ⁻¹ that forms bcc structure [ N _ A =5.0 10²⁴ ~g ~cm ⁻³ ~mol ⁻¹ ]

Options

  1. A2.44 10⁻²³ ~cm ^3
  2. B5.86 10⁻²³ ~cm ^3
  3. C3.68 10⁻²³ ~cm ^3
  4. D4.76 10⁻²³ ~cm ^3 .

Correct answer

C. 3.68 10⁻²³ ~cm ^3

Step-by-step solution

For bcc unit cell, n =2 . Density of bec unit cell = = M n a^3 N_A aligned Volume of unit cell ( a ^3 ) & = M n N _ A & = 92 ~g ~mol ⁻¹ 2 5 10²⁴ ~g ~cm ⁻³ ~mol ⁻¹ & =3.68 10⁻²³ ~cm ^3 aligned

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