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Question

How many lithium atoms are present in a unit cell with edge length 3.5˚A and density 0.53gcm3 ? (Atomic mass of Li =6.94)

A
2
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B
1
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C
4
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D
6
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Solution

The correct option is A 2
The number of Li atoms in a unit cell is 2.

The density of the atom is given by the expression

density=(Zm/N(a^3))

Here, Z is the number of atom in a unit cell, m is the molecular mass of the atom, N is the Avogadro's number, and a is edge length

Plugging the values in the above equation

0.53=

z=2

Therefore the number of atom in a unit cell of Li is 2.


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