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MHT CET202313 May 2023Evening ShiftChemistrySolid StateActual

Calculate the volume of unit cell if an element having molar mass 180 ~g ~mol ⁻¹ forms fcc unit cell. [ N _ A =120 10²¹ ~g ~cm ⁻³ ~mol ⁻¹ ]

Options

  1. A6.00 10⁻²¹ ~cm ^3
  2. B5.00 10⁻²¹ ~cm ^3
  3. C4.00 10⁻²¹ ~cm ^3
  4. D7.00 10⁻²¹ ~cm ^3

Correct answer

A. 6.00 10⁻²¹ ~cm ^3

Step-by-step solution

Volume of unit cell = a ^3= ? Density ( )= M n a^3 N_A a ^3= M n N _ A = 180 4 120 10²¹ =6.00 10⁻²¹ ~cm ^3

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