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Question

An element crystallising in body centred cubic lattice has an edge length of 500pm. If its density is 4gcm3, the atomic mass of the element (in gmol1) is: (consider NA=6×1023)

A
100
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B
250
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C
125
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D
150
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E
50
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Solution

The correct option is D 150
Relation used,
Density (ρ)=Z×Ma3×NA
where, Z= contribution factor
M= molar mass of particle
a= edge length
ρ= density of crystal

Given, NA= Avogadro's number
=6×1023
ρ=4g/cm3,a=500pm=500×1010cm
Z=2 (crystal has bcc structure)

M=ρ×a3×NAZ

=4×(500×1010)3×6×10232

M=4×(5)3×6×1012

=4×125×6×1012

M=3002=150gmol1

The atomic mass of the element (in gmol1) is 150.

Hence, Option "D" is the correct answer.

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