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MHT CET20249 May 2024Morning ShiftChemistrySolid StateActual

Calculate the volume of unit cell when metal having density 1 ~g ~cm ⁻³ and molar mass 23 ~g ~mol ⁻¹ crystallises to form bce structure.

Options

  1. A6.0 10⁻²³ ~cm ^3
  2. B8.6 10⁻²³ ~cm ^3
  3. C9.5 10⁻²³ ~cm ^3
  4. D7.6 10⁻²³ ~cm ^3

Correct answer

D. 7.6 10⁻²³ ~cm ^3

Step-by-step solution

For b c c unit cell, n =2 . Density ( )= M n a^3 N_A aligned & Volume of unit cell = a ^3= M n N _ A & aligned & & 23 ~g ~mol ⁻¹ 2 1 ~g ~cm ⁻³ 6.022 10²³ ~mol ⁻¹ &=7.6 10⁻²³ ~cm ^3 aligned aligned

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