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Question

Chemistry Question on The solid state

A solid has a bcc??structure.Ifthedistanceofnearestapproachbetweentwoatomsis'bcc?? structure. If the distance of nearest approach between two atoms is 1.73??, the edge length of the cell is

A

314.20pm314.20 \,pm

B

1.41pm1.41 \,pm

C

200pm200 \,pm

D

216pm216 \,pm

Answer

200pm200 \,pm

Explanation

Solution

For bee structure d=32ad=\frac{\sqrt{3}}{2}a where d=d = distance between two atoms a=a = edge length 1.73=32a1.73=\frac{\sqrt{3}}{2}a a=2×1.733=2??200pma=\frac{2\times1.73}{\sqrt{3}}=2??200\,pm