Sodium crystallises in bcc arrangement with the interfacial separation between the atoms at the edge length of 53 pm. The density of the solid is
Sodium crystallises in bcc arrangement with the interfacial separation between the atoms at the edge length of 53 pm. The density of the solid is
A. 1.23 g/cc
B. 485 g/cc
C. 4.85 g/cc
D. 123 g/cc
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Correct Answer - A
Given , a-2r=53pm or `2r=(sqrt3)/(2) a`
`rArr a-(sqrt3)/(2) a`
`therefore a-(sqrt3)/(2) a = 53 rArr a=395.6` pm
`therefore "Density(d)"=(ZM)/(N_Aa^3)`
`d=(2xx23)/(6.023xx10^23xx(3.956)^3xx10^(-24))=1.23g//"cc"`
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