The density of a unit cell in (g/cm3) can be represented as :
Here, ais the edge length in pm Zeff is the effective number of particles in a unit cell M is the molar mass NA is the avogadro number
A
Zeff×MNA×a3×10−30
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B
MNA×a3×10−30×Zeff
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C
NA×a3×10−30Zeff×M
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D
NA×a3×10−30×ZeffM
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Solution
The correct option is AZeff×MNA×a3×10−30 Density of a Unit Cell:
It is the ratio of total mass of particles present and volume of a unit cell. Density of the unit cell=Total mass of particles in the unit cell Volume of the unit cell
Mass of a unit cell is the total mass of effective number of particles present in a unit cell. Mass of a unit cell=Number of particles in a unit cell ×Mass of one particle Mass of one particle=Molar Mass (M) Avogadro number (NA)
The volume of a unit cell of a cubic lattice is : Vc=a3×10−30cm3
Density (ρ)=(Number of particles in a unit cell) ×(Molar mass)(Volume of unit cell) ×NA