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Q.

A metal having atomic mass 60.23 gm/mole  crystallises, in ABCABC close packing. Calculate the density of each metal atom if edge length is 10A°
[Given : NA=6.023×1023 ]

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a

0.4 gm/ml

b

40 gm/ml

c

0.54 gm/ml

d

54 gm/ml

answer is C.

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Detailed Solution

a=10A=10×108cmABCABCFCCZ=4

d=2×Ma3×NANA=6.023×1023

ρ=4×60.2310×1083×NA

d=4×60.2310×1083×6.023×1023d=4×60.231021×1023×6.023

d=4×10100=0.4d=0.4g/cm3

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