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Q.

Sodium (Na = 23) crystallizes in bcc arrangement with the interfacial separation between the atom at the edge 53.6 pm. The density of sodium crystal is:

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a

2.07 g/cc

b

2.46 g/cc

c

1.19 g/cc

d

2.23 g/cc

answer is C.

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Detailed Solution

a−2r=53.6pm also  4r=3a⇒ a−32a=53.6⇒ a=53.6×22−3=400pm Density (ρ)=2×236.023×1023×43×10−24=1.19g/cc
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