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Question

Lithium has a bcc structure. Its density is 530 kg m3 and its atomic mass is 6.94 g mol1. Calculate the edge length of a unit cell of Lithium metal: (NA=6.02×1023mol1)

A
154 pm
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B
352 pm
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C
527 pm
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D
264 pm
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Solution

The correct option is A 352 pm
Density, d=530kg/m3=0.530g/cm3

(1kg/m3=103g/cm3)

Molar atomic mass, M=6.94g/mol

For bcc unit cell, the number of atoms per unit cell, Z=2

Density, d=ZMa3NA

0.530=2×6.94a3×6.023×1023

a3=4.34×1023

a=3.52×108cm

The edge length, a=3.52×108cm=352×1012m=352pm

(1m=100cm and 1pm=1012m)

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