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MHT CET202411 May 2024Evening ShiftChemistrySolid StateActual

A metal crystallises in bcc structure with edge length 4 10⁻⁸ . If density of unit cell is 10 ~g ~cm ⁻³ . What is its molar mass?

Options

  1. A60 ~g ~mol ⁻¹
  2. B152 ~g ~mol ⁻¹
  3. C120 ~g ~mol ⁻¹
  4. D193 ~g ~mol ⁻¹

Correct answer

D. 193 ~g ~mol ⁻¹

Step-by-step solution

For bec unit cell, n =2 . aligned & Density ( )= M n a ^3 ~N _ A & 10 ~g ~cm ⁻³= M 2 (4 10⁻⁸ ~cm )^3 6.022 10²³ ~mol ⁻¹ & M = 6.022 10²³ ~mol ⁻¹ (4 10⁻⁸ ~cm ^3 10 ~g ~cm ⁻³ . 2 & M=193 ~g ~mol ⁻¹ aligned

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