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Question: An element with atomic mass 100 has a bcc structure and edge length 400pm. The density of element is...

An element with atomic mass 100 has a bcc structure and edge length 400pm. The density of element is

A

10.37gcm−310.37gcm^{- 3}

B

5.19gcm−35.19gcm^{- 3}

C

7.29gcm−37.29gcm^{- 3}

D

2.14gcm−32.14gcm^{- 3}

Answer

5.19gcm−35.19gcm^{- 3}

Explanation

Solution

d=Z×Ma3×NA=2×100(400×10−10)3×6.023×1023d = \frac{Z \times M}{a^{3} \times N_{A}} = \frac{2 \times 100}{(400 \times 10^{- 10})^{3} \times 6.023 \times 10^{23}}