Q.

Sodium (atomic mass =23 amu) crystallizes in a bcc arrangement with the interfacial separation between the atoms at the edge 53.6 pm. The density (in g cm−3) of sodium crystal is:

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a

1.33

b

1.19

c

4.63

d

2.07

answer is C.

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Detailed Solution

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For calculating a:

a-2R=53.6 pm

a1-234=53.6 pm                  a=400 pm

Density:

 (ρ)=2×236.023×1023×(400)3×1024=1.19 g/cc

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Sodium (atomic mass =23 amu) crystallizes in a bcc arrangement with the interfacial separation between the atoms at the edge 53.6 pm. The density (in g cm−3) of sodium crystal is: