Question

Derive the relationship between density of substance its molar mass and the unit cell egde lenght explain how you will calculate the number of particles and number of unit cell in xg of metal

Answer 1

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FIND DENSITY FROM EDGE - DEFINITION

Density(d)=VolumeMass

d=Volume of unit cellMass of unit cell

Mass of unit cell=N0Z×M

Where, Z=effective number of atom in unit cell

M=molar mass

N0=Avogadro’s number

Therefore,

d=N0×a3Z×M

Where, a=edge length of unit cell

ATOMIC MASS AND NUMBER OF ATOMS FROM DENSITY AND EDGE LENGTH - DEFINITION

M=Za3×ρ×No

Z=Ma3×ρ×No

where a is the edge length, M is the molar mass of the atom, Z is the number of atoms per unit cell, No is the Avogadro number.

Hope that helps..!!