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Question: The density of a metal which crytallises in bcc lattice with unit cell edge 300 pm and molar mass 50...

The density of a metal which crytallises in bcc lattice with unit cell edge 300 pm and molar mass 50g mol−1mol^{- 1}will be

A

10gcm−310gcm^{- 3}

B

14.2gcm−314.2gcm^{- 3}

C

6.15gcm−36.15gcm^{- 3}

D

9.32gcm−39.32gcm^{- 3}

Answer

6.15gcm−36.15gcm^{- 3}

Explanation

Solution

d=Z×Ma3×NAd = \frac{Z \times M}{a^{3} \times N_{A}}

For bcc structure, Z = 2

d=2×506.023×1023×(300×10−10)=6.15gcm−3d = \frac{2 \times 50}{6.023 \times 10^{23} \times (300 \times 10^{- 10})} = 6.15gcm^{- 3}